Answer:
The value of m + k = [tex]5+\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex].
Step-by-step explanation:
We are given that C is the midpoint of segment AB where A(-3,m) , B (4, -1) , and C (k, 2).
As we know that the mid-point formula states that;
Mid-point = [tex]\frac{a+b}{2}[/tex]
This means that;
Mid-point of AB = [tex]\frac{A+B}{2}[/tex]
C(k, 2) = [tex](\frac{-3+4}{2}, \frac{m+(-1)}{2} )[/tex]
C(k, 2) = [tex](\frac{1}{2}, \frac{m-1}{2} )[/tex]
This means that;
[tex]k = \frac{1}{2}[/tex] and [tex]2=\frac{m-1}{2}[/tex]
[tex]k = \frac{1}{2}[/tex] and [tex]m-1=4[/tex]
[tex]k = \frac{1}{2}[/tex] and [tex]m = 4+1 = 5[/tex]
So, the value of m + k = [tex]5+\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex].
find the average of 2m,20cm and 95cm give your answer in cm
Answer:
The average is:
105 cm
Step-by-step explanation:
1 m = 100cm
2m = 2*100 = 200cm
then:
(200 + 20 + 95)/3 = 315/3 = 105cm
Pls helppppp thxxxxx
The angle above the y is 90 degrees ( shown by the little square)
The 3 inside angles of a triangle need to equal 180.
Y = 180 - 90 - 48
Y = 42
Answer: y = 42°
Step-by-step explanation:
Triangle Sum Theorem states the sum of the angles of a triangle is 180°
y + 48° + 90° = 180°
y + 138° = 180°
y = 42°
Simplify. 863x14y9−−−−−−√ Assume x and y are nonnegative.
Answer:
24x^7 y^4 √7y
Step-by-step explanation:
The value of expression would be 24x⁷y⁴√7y which is determined by simplification of the given expression 8 √63x¹⁴y⁹.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been the given expression as :
8 √63x¹⁴y⁹
We can simplify as:
⇒ 8 √63x¹⁴y⁹
The square root of a number is a number that can be multiplied by itself and gives the actual number.
⇒ 8 √[3×3×7( x⁷)²x (y⁴)² y]
Assume x and y are nonnegative.
⇒ 24x⁷y⁴√7y
Hence, the value of expression would be 24x⁷y⁴√7y.
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What are the domain and range of f(x) = -37?
A. Domain: All real numbers greater than or equal to -37
Range: All real numbers
B. Domain: {-37}
Range: All real numbers
C. Domain: All real numbers
Range: All real numbers greater than or equal to -37
D. Domain: All real numbers
Range: {-37}
Answer:
d
Step-by-step explanation:
ABSOLUTE VALUE! What is the absolute value of -7?
Answer:
7
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.
Answer:
answer is 7
Step-by-step explanation:
if its a negative, its always the positive of that number....if that makes sense
evaluate h^2-3h+2 for h= -3
Answer:
2
Step-by-step explanation:
1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2
2. Do the exponent first 9-3(3)+2
3. Multiply 3(3) to get 9-9+2
4. Subtract 9-9, 0+2
5. Add 0 and 2 to get 2
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
Answer:
8
Step-by-step explanation:
Please
Answer:
Options 2, 3, and 4
Step-by-step explanation:
So overall Dominique gets $3 plus $1.25/mile and totals out $11.75
If we call the miles driven x, like they say, then the equation for earnings is:
1.25x+3=11.75
or some variation of that. We can see that as option 4, but a closer look at the other options shows us that options 2 and 3 are also true. These choices are simply the original equation correctly multiplied by a factor of 2 (the other options are incorrect multiplications).
So those are our answers.
Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the percent error in Roger's measurement? A. 15% B. 17% C. 20% D. 25%
Answer:
A. 15%
Step-by-step explanation:
State in words the rule defined by each of the functions below. For example, in (a) the rule for f is "multiply the input by 6"a) f(x) = 62.b) f(x) = 2x - 3.c) h(t) = 3 - 5.
Answer:
a) [tex]f(x) = 6x[/tex]
if x = input
then the function of the input is to "multiply the input by 6"
b) [tex]f(x) = 2x - 3[/tex]
the function of the input = two multiply by the input minus six
c) [tex]h(t) = t^3 - 5[/tex]
the function of the input = the cube of the input minus five
Step-by-step explanation:
Given that:
a) [tex]f(x) = 6x[/tex]
b) [tex]f(x) = 2x - 3[/tex]
c) [tex]h(t) = t^3 - 5[/tex]
The objective is to state in words the rule defined by each of the functions
We are being given the first question as a sample that:
a) [tex]f(x) = 6x[/tex]
if x = input
then the function of the input is to "multiply the input by 6"
b) [tex]f(x) = 2x - 3[/tex]
the function of the input = two multiply by the input minus six
c) [tex]h(t) = t^3 - 5[/tex]
the function of the input = the cube of the input minus five
Jerome is an accounts payable clerk that when printing check used 1/4 of a box of check stock. How many checks did Jerome use for if 1000 checks are able to printed out of each box?
F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4)
Answer:
(f o g)(4) = - 49Step-by-step explanation:
F(x) = 3x - 7
g(x) = -2x - 6
To find (f o g)(4) we must first find (f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with
g (x).
We have
(f o g)(x) = 3( - 2x - 6) - 7
= - 6x - 18 - 7
We have
(f o g)(x) = - 6x - 25
To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)
We have
(f o g)(4) = - 6(4) - 25
= - 24 - 25
We have the final answer as
(f o g)(4) = - 49Hope this helps you
Solve for x. and explain.
Answer:
1) x = ln(7) -1
2) x = [tex]\frac12(3+e^5)[/tex]
Step-by-step explanation:
In the first one, take the ln left and right and isolate x.
In the second one, take the e power left and right and isolate x.
The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
2sin2x+sinx=1
Answer:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
Step-by-step explanation:
Given the quadratic equation as:
[tex]2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0[/tex]
Let us put [tex]sinx=y[/tex] for simplicity of the equation:
Now, the equation becomes:
[tex]2y^2+y-1=0[/tex]
Now, let us try to solve the quadratic equation:
[tex]\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1[/tex]
So, the solution to the given trigonometric quadratic equation is:
[tex]sinx = \dfrac{1}{2}[/tex]
and
[tex]sinx=-1[/tex]
Let us try to find the values of [tex]x[/tex] in the interval [tex][0, 2\pi)[/tex].
[tex]sin\theta[/tex] can have a value equal to [tex]\frac{1}{2}[/tex] in 1st and 2nd quadrant.
So, [tex]x[/tex] can be
[tex]30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]
For [tex]sinx=-1[/tex],
[tex]x = 270^\circ\ or\ \dfrac{3 \pi}{2}[/tex]
So, the answer is:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
PLEASE HELP ASAP PLEASE
Answer:
16
Step-by-step explanation:
If two lines have slopes of -2/9 and 9/2 are they perpendicular?
Answer:
[tex]\huge\boxed{\mathrm{Yes.}}[/tex]
Step-by-step explanation:
If the two lines are perpendicular, Multiplying their slopes must give the result of -1.
So, Let's Multiply these slopes.=> [tex]\sf -\frac{2}{9} * \frac{9}{2}[/tex]
=> -1
Since, the result of multiplying these slopes give -1, So, the two lines are perpendicular.
Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k). What value of k makes these segments perpendicular? WILL GIVE BRAINLIEST!
Answer:
21
Step-by-step explanation:
if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?
Answer : 4.5 × 10⁴ square inches can be washed per hour.
Step-by-step explanation :
As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.
Given conversions are:
1 cm = 0.39 in and 1 hr = 60 min
As, 1 cm² = (0.39)² in² and 1 min = 1/60 hr
So, [tex]1cm^2/min=(0.39)^2\times 60in^2/hr[/tex]
[tex]1cm^2/min=9.126in^2/hr[/tex]
Now we have to determine the square inches can be washed per hour.
As, [tex]1cm^2/min=9.126in^2/hr[/tex]
So, [tex]4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr[/tex]
Therefore, 4.5 × 10⁴ square inches can be washed per hour.
Solve the equation. -4x-8=12
Answer:
x=5
Step-by-step explanation:
4x−8=12
4x-8+{\color{#b14ba5}{8}}=12+{\color{#b14ba5}{8}}
4x−8+8=12+8
simplify
4x=20
divide both sides of the equation by the same term
4x=20
4
4x
=
4
20
the answer is
x=5
Steps to solve:
-4x - 8 = 12
~Add 8 to both sides
-4x = 20
~Divide -4 to both sides
x = -5
Best of Luck!
5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrowBoth arrowBoth arrowBoth
Answer:
Distributive Property
Step-by-step explanation:
5y + 2 + 6 + 2y
= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition
= 6y − y + 2y + 10 − 4 + 2
The distributive property of multiplication with respect to addition is the one which separates each term by using multiplication and then addition.
So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.
||x−4|-2|<3 PLEASE ANSWER!!!
Answer:
-1<x<9
(I think you notated it wrong, it should be |x-4|-2<3)
What is the value of 3/4+5/36+7/144+........+17/5184+19/8100
Answer:
0.943125.
Step-by-step explanation:
I used an website which is Desmos.com. it works great and is very helpful. you should give it a try.
Find the least common multiple of 15, 2, and 10.
LCM = 30
Step-by-step explanation:15 = 3×5
2 = 2¹
10 = 2×5
LCM = 2×3×5 = 30
Which phrase best describes f(x), graphed on the coordinate plane below?
answer.next time out the graph
Step-by-step explanation:
Answer:
It's A, an odd function
Fully simplify using only positive exponents.
\frac{5x^6y^6}{125x^5y^3}
125x
5
y
3
5x
6
y
6
Answer:
[tex]\frac{xy^{3}}{25}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Required
Simplify the given expression
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Start by applying law of indices
[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]
[tex]\frac{5xy^{3}}{125}[/tex]
Divide numerator and denominator by 5
[tex]\frac{xy^{3}}{25}[/tex]
Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]
Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :
[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]
Length of PQ :
[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]
Length of QR :
[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :
Length of RP :
[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]
Hence , this is the required solution .
Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).
Answer: equation of the tangent plane is z = 1
Step-by-step explanation:
Given equation
z = e^(-x²-y²) at point (0,0,1)
now let z = f(x,y)
Δf(x,y) = [ fx, fy ]
= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))
now
Δf (0,0) = [ 0, 0 ] = [ a, b ]
equation of the tangent plane therefore will be
z - z₀ = a(x-x₀) + b(y-y₀)
z - 1 = 0(x-0) + 0(y-0)
z - 1 = 0 + 0
z = 1
Therefore equation of the tangent plane is z = 1
1/4×3/2×8/9 What is the Simplified fraction?
Answer:
1/3
Step-by-step explanation:
1/4×3/2×8/9
Rewriting
8/4 * 3/9 *1/2
Simplify
2 * 1/3 * 1/2
Rewriting
2/2 * 1/3
1 * 1/3
1/3
Answer:
See answer in the image below.
Which two of the following are appropriate methods to graph the line 2 + 4y = 8.
Answer : -Idenify the slope, and the y-intercept, then graph.
-Find the x - and y - intercept and then graph.
Step-by-step explanation:
Options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
What is a line graph?A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changing conditions, often over a certain time interval.
For the given situation,
The line graph consists of a horizontal x-axis and a vertical y-axis.
Methods to graph a line are
Graph a linear function by plotting points.Graph a linear function using the slope and y-intercept.Graph a linear function using transformations.Hence we can conclude that options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
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Help me with this please i don't understand
Answer:
84 cm²
Step-by-step explanation:
Surface are of the net = sum of the area of each section
Area of the 2 right triangles:
base (b) = 4cm, height (h) = 3 cm
Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 4 cm
Area = L*W = 6*4 = 24 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 5 cm
Area = L*W = 6*5 = 30 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 3 cm
Area = L*W = 6*3 = 18 cm²
Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²