Answer:
Which class is this
I can't believe the question
N(-2,-2) after a 90 degree counterclockwise rotation
Answer: (2,-2)
Step-by-step explanation:
Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is N'(2,-2)
Helppp me pleaseeeee
If x = 2y = 3
find xy-y+ x × x
Answer:
here ....x = 2 and y = 3
[tex] = xy - y + x \times x[/tex]
[tex] = 2 \times 3 - 3 + 2 + 2 \times 2[/tex]
[tex] = 6 - 3 + 2 + 4[/tex]
[tex] = 12 - 3[/tex]
[tex] = 9[/tex]
The graph shown below expresses a radical function that can be written in the form f(x) = a(x + k)^1/n + c. What does the graph tell you about the value of a in this function?
Answer:
Graphs can be used to represent functions
The value of a is less than 0.
The function is given as:
The parent function of f(x) is:
So, by comparison:
The function becomes:
Next, we identify the vertex (in this case, the vertex is the minimum point on the graph)
So, we have:
Substitute these values in
So, the function becomes
From the graph, we have the following point;
So, the function becomes
Subtract 2 from both sides
Square both sides
Divide both sides by -9
So, we have:
-1 is less than 0.
Hence, the value of a is less than 0.
Step-by-step explanation:
Answer:
The value of a in this function is 0
Step-by-step explanation:
The given function is
[tex]f(x) = a(x + k)^\frac{1}{n} + c.[/tex]
Here , f(x) is y = [tex]x^{\frac{1}{2} }[/tex] So , n = 2.
By substituting the value we get the function :
[tex]f(x) = a(x + k)^\frac{1}{2} + c.[/tex]
The vertex of the graphs are : (k, c) = (-5 ,2)
The function becomes:
[tex]f(x) = a(x + 5)^\frac{1}{2} + 2[/tex]
The following point on the graph shows : (x, y) = (-4 , 5)
The function becomes:
[tex]5 = a(-4+ 5)^\frac{1}{2} + 2\\5 = a(-9)^\frac{1}{2} + 2\\\\\3 = a(-9)^{\frac{1}{2} }(Subtract 2 from both side )\\\\9 = a (-9) ( Square both sides) \\\\-1 =a ( Divide both side by -9)\\[/tex]
a = -1
Here , -1 is less than zero
Hence , the value of a is less than o.
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Agnes who loves adventure tries to jump towards Gru who is sitting motionless on a raft with negligible mass. He tries to catch the 30 kg Agnes who is running 1.2 m/s towards him. As he caught Agnes, the motionless raft started to move. How heavy is Gru if the raft started to move with a speed of 0.5 m/s? (Note: Include correct units and sign. Ex. "20 kg*m/s" , "20 N*s" , "20 kg")
By conservation of momentum, we will see that the mass of Gru is 32 kilograms.
How heavy is Gru?
Here we need to use the conservation of momentum.
Initially, Gru is stop, and Agnes with a mass of 30kg has a velocity of 1.2 m/s, so the total initial momentum is:
P = 30kg*1.2m/s = 36 kg*m/s.
At the end, the total mass is M, the mass of Gru, plus the mass of Agnes:
(M + 30kg).
And the final speed is 0.5 m/s, then the final momentum is:
P' = (M + 30kg)*0.5m/s
And the final momentum must be equal to the initial momentum:
36 kg*m/s = (M + 30kg)*0.5m/s
Now we can solve that for M:
( 36 kg*m/s)/(0.5 m/s) = M + 30kg
72kg = M + 30kg
72kg - 30kg = 32 kg = M
The mass of Gru is 32 kilograms.
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Is the integer below prime or composite?
26
PLEASE HELP!!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!!!!!!!!! A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 5.
Answer:
the Area = 100in^2
Step-by-step explanation:
pls mark brainiest
Area of triangle is 10 square cm.
What is area of triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Given
Base = 4
Height = 5
Area of triangle = [tex]\frac{1}{2}[/tex] × b × h
= [tex]\frac{1}{2}[/tex] × 4 × 5
= 2 × 5
= 10
Hence, area of triangle is 10 square cm.
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Write 83.07718 correct to two decimal places
Answer:
83.08
Step-by-step explanation:
this means that they want only two numbers after the decimal point
if the number is up to five round it up and call it one the add it to the number before it
hope it helps
83.08 is the correct notation of 83.07718 to two decimal places.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
To write a number correctly to two decimal places, you need to look at the third decimal place digit.
If this digit is 5 or greater than 5, you will need to round up the second decimal place digit by adding 1 to it.
If this digit is less than 5, you simply leave the second decimal place digit as it is.
In the case of 83.07718, the third decimal place digit is 7, which is greater than 5. Therefore, we need to round up the second decimal place digit (7) by adding 1 to it, resulting in 83.08. This is the number written correctly in two decimal places.
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Math need help please
solve
16x+8>=12x+20
A. x<=3
B. x<=7
C. x>=3
D. x>=7
Answer: C
Step-by-step explanation:
[tex]16x+8 \geq 12x+20\\ \\ 4x+8 \geq 20\\ \\ 4x \geq 12\\ \\ \boxed{x \geq 3}[/tex]
E Homework: 3.1 Homework
Evaluate the following function at the values 2, -3, and x-2.
f(x) = x² +5
f(2)= (Type an integer or a simplified fraction.)
Answer:
Question 13 of 16 Evaluate the following function at the values 2, -4, and x-1. f(x)=x2-5 = ..... f(2)= (Type an integer or a simplified fraction.) f(-4)=L(Type an integer or a simplified fraction.) f(x-1)= (Simplify your answer. Type an expression using x as the variable. Use integers or fractions for any numbers in the expression.)
I need help with this is 8th grade math
Answer:
5 hours
Step-by-step explanation:
Mark recieves 3mg per hour. This can be rewritten as y=3x. Cassie recieves 2x+5. To solve, use substitiution. 3x=2x+5. To solve, subtract "2x" from "3x." You then get x=5.
A triangle is placed in a semi circle with a radius of 9 mm find the area of the shaded region of the semi circle (not including the triangle)
The area of the shaded region will be 46.17 ft.²The number of unit squares that cover the surface of a closed-form is the figure's area.
What is the area?
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Semicircle radius , r = 9 ft.
The height of the triangle, h=r=9 ft
The triangle is located where it is inscribed in the semicircle. The diameter of the semicircle is given as b, the base length of the triangle.
The diameter of the semicircle = 2 × The radius of the semicircle
D=2r
D= 2 × 9 ft
D= 18 ft.
Triangle base length,b = D= 18 ft.
The area of the triangle is found as;
[tex]\rm A= \frac{1}{2}bh \\\\ A = \frac{1}{2} \times 18 ft. \times 9 ft. \\\\ A = 81 \ ft^2[/tex]
[tex]A_{semi}={\rm \frac{A_{circle}}{2}} \\\\ A_{semi}= \frac{\pi \ r^2}{2}\\\\\ A_{semi}= \frac{3.14 \times 9^2}{2} \\\\ A_{semi} = 127.17 ft^2[/tex]
The area of the shaded region is;
a= 127.17 ft.² - 81 ft.²
a = 46.17 ft.²
Hence,the area of the shaded region will be 46.17 ft.²
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A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers. Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder. The figure shows both designs.
please help
The height and the base area of both the design must be equal. Then the correct option is A.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers.
Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder.
The figure shows both designs.
The volume of the cylinder will be given as
V = πr² h
If the volume of the oblique cylinder and right cylinder is the same.
Then the height of both the designs must be equal and the base area of both the design must be equal.
Then the correct option is A.
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Answer:
D
Step-by-step explanation:
did the test on edmentum
Rewrite the expression as a product of four linear factors:
(x² – 3x)² – 14(x² – 3x) + 40
-
Answer:
Submit Answer
[tex]~~(x^2 -3x)^2 -14(x^2 -3x) +40\\\\=u^2-14u+40~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Let}~ u = x^2 -3x]\\\\=u^2 - 10u-4u +40\\\\=u(u-10)-4(u-10)\\\\=(u-4)(u-10)\\\\=(x^2 -3x -4)(x^2 -3x -10)~~~~~~~~~~~~~;[\text{Substitute back}~ u = x^2 -3x]\\\\=(x^2 -4x+x-4)(x^2 -5x+2x-10)\\\\=\textbf{[}x(x-4) +(x-4) \textbf{]} \textbf{[}x(x-5) +2(x-5) \textbf{]} \\\\=(x+1)(x-4)(x+2)(x-5)[/tex]
rationalize the denominator of the fraction (6)/(4+\sqrt(5))
The rationalization the denominator of the fraction (6)/(4+\sqrt(5)) is [tex]\dfrac{6(4-\sqrt(5))}{11}[/tex].
How to rationalize a fraction?Suppose the given fraction is [tex]\dfrac{a}{b+c}[/tex]
Then the conjugate of the denominator is given by b - c
Thus, rationalizing the fraction will give us
[tex]\dfrac{a}{b+c} \times \dfrac{b-c}{b-c} = \dfrac{a(b-c)}{b^2 - c^2}[/tex]
The given expression is
[tex]\dfrac{6}{4+\sqrt(5)}\\\\[/tex]
By rationalizing the denominator of the fraction
[tex]\dfrac{6}{4+\sqrt(5)}\times \dfrac{4-\sqrt(5)}{4-\sqrt(5)} \\\\\\\dfrac{6(4-\sqrt(5))}{4^2-(5)}\\\\\\\dfrac{6(4-\sqrt(5))}{11}[/tex]
Thus, the rationalization the denominator of the fraction (6)/(4+\sqrt(5)) is [tex]\dfrac{6(4-\sqrt(5))}{11}[/tex].
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What are the solutions to 3(x + 2)(x - 9) = 0?
Select all that apply.
2
-9
-2
-3
9
Answer:
(3)+1. 12-2=9+1 so 9 is the answer
Julia is in charge of buying clothing in bulk for a sporting goods store. The table shows the unit prices of the items she intends to buy.
Unit Prices of Clothing Items for a Sporting Goods Store
Item
Unit Price
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
The total cost of 35 T-shirts, 45 pairs of shorts, and 25 windbreakers is $973.75.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Cost of 1 T-shirt = $7.50
Cost of 35 T-shirts = 7.50 x 35
= 262.5
Cost of 1 Shorts = $9.00
Cost of 45 T-shirt = 9.00 x 45
= 405
Cost of 1 windbreakers = $12.25
Cost of 25 windbreakers = 12.25 x 306.25
So, The total cost of 35 T-shirts, 45 pairs of shorts, and 25 windbreakers
= 262.5+405+306.25
= $973.75
Hence Her total cost is $973.75.
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A) all values at which h has a local maximum
B ) all local maximum values of h
For the given function h(x), we have:
a) at x = -2 and x = 2.
b) y = 0 and y = 3.
How to identify the maximums of function h(x)?
First, we want to get the values of x at which we have maximums. To do that, we need to see the value in the horizontal axis at where we have maximums.
By looking at the horizontal axis, we can see that the maximums are at:
x = -2 and at x = 2.
Now we want to get the maximum values, to do that, we need to look at the values in the vertical axis.
The first maximum value is at y = 0 (the one for x = -2)The second maximum is at y = 3 (the one for x = 2).If you want to learn more about maximums:
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which graph represents the linear function y=-5x+2?
Answer:
The second picture is the correct answer the graph must be decreasing..
Step-by-step explanation:
The second picture is the correct answer the graph must be decreasing..
It takes 9 builders 54 days to complete a house.
How long would it take 6 builders to complete the same house?
Answer:
81 days
Step-by-step explanation:
Formula to solve this type of equation [tex]t=\frac{k}{p}[/tex]
t is time
k is a constant
p is people
We must substitute the values into the equation
[tex]54=\frac{k}{9}[/tex]
[tex]k=486[/tex]
Now we must substitute it to find the time
[tex]t=\frac{486}{6}[/tex]
you get 81
It would take [tex]6[/tex] builders [tex]36[/tex] days to complete the same house.
Who are builders?Builders are those person whose job is to build or repair houses and other buildings.
We have,
[tex]9[/tex] builders take [tex]54[/tex] days to complete a house.
So,
[tex]1[/tex] builder will take [tex](\frac{54}{9})[/tex] days to complete a house,
In the same way,
[tex]6[/tex] builder will take [tex](\frac{54}{9}*6)[/tex] days to complete a house,
i.e.
[tex]6[/tex] builder [tex]=(\frac{54}{9}*6)= 36[/tex] days.
Hence, we can say that it would take [tex]6[/tex] builders [tex]36[/tex] days to complete the same house.
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The formula for calculating percentage marckup is :
A. sticker price - invoice price/invoice price • 100 = percent markup
B. sticker price - invoice price/invoice price • 100 = markup
C. Invoice price - sticker price/sticker price • 100 = percent markup
D. Invoice price - sticker price/invoice price • 100 = percent markup
The formula for calculating the mark up percentage is as follows:
sticker price - invoice price/invoice price • 100 = percent mark up
How to find the percentage mark up?Percentage mark up can be described as follows:
percentage mark up = selling price per unit - cost price per unit / cost price per unit × 100
Therefore,
Mark up is the difference between a product's selling price and cost as a percentage of the cost.
Therefore, the formula for calculating the mark up percentage is as follows:
sticker price - invoice price/invoice price • 100 = percent mark up
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A problem in a test given to small children asks them to match each of three pictures
of animals to the word identifying that animal. If a child assigns the three words at
random to the three pictures, find the probability distribution for Y , the number of
correct matches.
Answer:
3
Step-by-step explanation:
because there are only three pictures
State your conclusion in the form of a theorem, and then prove the theorem using a two-column proof. When you write the proof, refer to the diagram you created in part A. It will be helpful to use point labels to state what is given and what you have to prove and to use those labels throughout the proof.
As part of the proof, you’ll have to construct a line segment connecting the top intersection point on one of the transversals with the lowest intersection point of the other transversal, thus forming two triangles. Take a screenshot of the construction, save it, and insert the image in the space below before you begin your written proof.
The midpoint theorem simply states that the line segment that joins the two sides of the triangle is parallel to the third side.
How to illustrate the theorem?Your information is incomplete. Therefore, an overview of the theorem will be given. It should be noted that the midpoint theorem states that the line drawn through the mid point of one side of the triangle is parallel to another side.
To find the midpoint, one can measure the distance between the two end points and divide the results by 2.
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Convert 65,000,000 to scientific notation
Answer:
6.5 x 10^7
Step-by-step explanation:
give brainliest, please!
hope this helps :)
Find the area of the shapes below. Make sure to label your answers with units.
Answer:
Step-by-step explanation:
Area of shapes a) Trianglebase = b = 7 km
altitude or height = h = 3.8 km
[tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}b*h$ }}[/tex]
[tex]= \dfrac{1}{2}*7*3.8\\\\= 7 * 1.9\\\\= 13.3 \ km^2[/tex]
b) Rectangle:length = l = 8.2 cm
width = w = 7 cm
[tex]\sf \boxed{\text{\bf Area of rectangle = l*w}}[/tex]
= 8.2 * 7
= 57.4 cm²
c) Parallelogrambase = b = 9.1 km
height = h = 5 km
[tex]\sf \boxed{\text{\bf Area of parallellogram =b*h}}[/tex]
= 9.1 * 5
= 45.5 km²
d) TrapeziumParallel sides a = 8.9 m & b = 2.7 m
height = h = 4.2 m
[tex]\sf \boxed{\text{\bf Area of trapezium =$\dfrac{(a +b)*h}{2}$}}[/tex]
[tex]\sf =\dfrac{(8.9+2.7)*4.2}{2}\\\\=\dfrac{11.6*4.2}{2}\\\\= 5.8 * 4.2\\\\= 24.36 \ m^2[/tex]
Answer:
1# 13.3 Km
2# 57.4 Km
3# 45.5 Km
4# 24.36 Km
Apply the indicated operations to the matrix; then choose the correct answer.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The correct option is B.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
When the indicated operation 4R₁ → R₁ is applied then the matrix will be,
[tex]\left[\begin{array}{ccc}1&2&0\\-2&-1&3\end{array}\right] \rightarrow \left[\begin{array}{ccc}4&8&0\\-2&-1&3\end{array}\right][/tex]
Hence, the correct option is B.
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HELP!!! PLEASE HURRY!!!!
Answer:
B, I solved then used interval notion to convert it.
Answer:
the answer is b
Answer:
the answer is b
Which of the following is equal to 5 1/3?
pls help me out with this question
Height be h
[tex]\\ \rm\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan54=\dfrac{h}{60}[/tex]
[tex]\\ \rm\Rrightarrow h=60tan54[/tex]
[tex]\\ \rm\Rrightarrow h=82.6\approx 83m[/tex]
Answer:
83 m (nearest metre)
Step-by-step explanation:
This can be modeled as a right triangle, where the base is 60 m and the height is the height of the building.
Alternate Interior Angles Theorem (Z-angles)
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.
Tan trigonometric ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 54°O = height of building (h)A = 60Substituting the given values into the formula and solving for h:
[tex]\implies \sf \tan(54^{\circ})=\dfrac{h}{60}[/tex]
[tex]\implies \sf h=60 \tan(54^{\circ})[/tex]
[tex]\implies \sf h=82.58291523...[/tex]
[tex]\implies \sf h=83\:\:m\:(nearest\:metre)[/tex]