2x - 3y = 7 can be rewritten as y = 2/3x - 7/3, therefore, the equation that is a linear equation is: C. 2x - 3y = 7.
What is a Linear Equation?A linear equation is expressed in the slope-intercept form as y = mx + b.
2x - 3y = 7, rewritten in slope-intercept form would be:
-3y = -2x + 7
y = -2x/-3 + 7/-3
y = 2/3x - 7/3
m = 2/3 and b = -7/3
Therefore, the equation that is a linear equation is: C. 2x - 3y = 7.
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Find the perimeter of parallelogram ABCD with vertices A(-5,6), B(2,6), C(1,-2), and D(8,-2)
17 units
43 units
34 units
40 units
Answer:
34 [units].
Step-by-step explanation:
1) according to the property of parallelogram (AC=BD and AB=CD) the required perimeter can be calculated as P=2AB+2AC;
2) the length of AB=7 (the coordinates 'y' are equal);
3) the length of AC:
[tex]|AC|=\sqrt{(1+5)^2+(-2-6)^2}=10.[/tex]
4) finally, the required perimeter is:
P=2(7+10)=34 [units].
if f(x)= 2x+1 and g(x)=x^2-2, what is (fig)(x)
2. √2x-5-√x+6=0(solving the following radical equations and check for extraneous solutions)
I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
Which equation is correct?
O a
52 x 7 = 50+ 2 × 7
Ob
b
52 x 7 = 50 x 7+2
Oc
52 x 7 = 50 x 7+2x7
Od
52 x 7 = 500 ×7+2×7
Answer:
52 x 7= 50 x 7 + 2 x 7
Step-by-step explanation:
SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D
The area of the figure is 51.4 unit²
The complete questionFigure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
See attachment for the figure
The area of the figureThe figure can be divided into the following shapes:
Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4The area of the trapezoid is:
Area = 0.5 * (Sum of opposite sides) * height
So, we have:
Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5
Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8
The area of the triangle is:
Area = 0.5 * Base * Height
This gives
Triangle = 0.5 * 4.8 * 4 = 9.6
Add the individual areas
Area = 32 + 9.8 + 9.6
Evaluate the sum
Area = 51.4
Hence, the area of the figure is 51.4 unit²
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help with this math
Based on the figures given, and the line graph, we can tell that the months with the greatest change in average low temperature were May and July.
Which months saw the greatest changes in temperature?In the month of May, the temperature changed by:
= 60 - 51
= 9°F
In the month of July, the temperature changed by:
= 66 - 62
= 4°F
These two months therefore saw the largest changes in temperature and this is confirmed by the line graph.
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Which number line shows the solution to the inequality 3x + 3 ≥ 12?
Answer:
3x+3 ≥ 12
3x ≥ 9
x ≥ 3
So A is correct
Let me know if this helps or if you have any other questions!
HELP. Question 2(Multiple Choice Worth 4 points)
Solve x³ = 64
27
8
3
O
H
4/3
43
Answer:
x= 4/3
Step-by-step explanation:
Take cube root
A farmer sells 8.2 kilograms of apples and pears at the farmer's market. 1/4 of this weight is
apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's
Answer:
6.15 kilograms of pears
Step-by-step explanation:
The total is 8.2 kilograms. Since 1/4 of the weight is apples, we know that 3/4 of the weight is pears. So we multiply 8.2*0.75.
8.2*0.75=6.15
Therefore, the farmer sold 6.15 kilograms of pears at the farmer's market.
Jessica works at a restaurant. She earns $5 an hour and received $100 in tips on Saturday night. If she earned $140 total, how many hours did she work?
$140 total - $100 tips = $40
$40 / $5 per hour = 8 hours
She worked 8 hours
There are two drama classesoffered at a middle school. The 8th grade class has 13 fewer students than the 7th grade class. If the total number of students in both classes is 67, how many students are in the 8th grade class?
Answer:
Class 8 has 27 and class 7 has 40
Step-by-step explanation:
8th (r) class has 13 fewer than 7th (x).
x -13 = r
Total for both classes = 67
r + x - 13 = 67
r + x = 80
80 divided by two = 40 (per class)
40 - 13 = 27
Find the length of the indicated side of the similar figure.
Answer:
5
Step-by-step explanation:
in similar figures the side lengths must be proportional:
4/8 = x/10 cross multiply fractions
40 = 8x divide both sides by 8
5 = x
What is the angle relationship between ZBAC and ZDCA?
F
R
G
The angle BAC and DCA are alternate interior angles , Option D is the right answer.
What are Parallel Lines ?
The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.
In the given question it is given that there are two lines FG and DE
The lines are parallel to each other , and transversal are AC and BC .
The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.
Option D is the right answer.
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An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
pentagon
hexagon
octagon
nonagon
Answer:It is a 5 sided polygon known as pentagon.
Step-by-step explanation:
In which scenario can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful?
A.
As the amount of snowfall increases, the number of shovels sold increases.
B.
As number of hours spent watching TV increases, the amount spent on electricity increases.
C.
As the radius of a circle increases, circumference of the circle increases.
D.
As foot size increases, sock size increases.
Answer:
C. As the radius of a circle increases, circumference of the circle increases.
Fabian took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $4 per mile. The total fare was $44.80, not including the tip. How many miles was the taxi ride?
Answer:
Answer = 10 miles
Step-by-step explanation:
First lets make an equation we know that the pick up fee was $4.80 and that Fabian had to pay an extra $4 for every mile. The total amount Fabian paid was $44.80. So the equation would look like this, 4x+4.80=44.80. When we solve for x we find that the taxi ride was 10 miles.
Hope that helps! :)
The taxi ride was 10 miles long. Fabian traveled 10 miles from his house to the airport.
To calculate the distance of Fabian's taxi ride, let's denote the distance in miles as "d." The cost consists of a pick-up fee of $4.80 and a mileage charge of $4 per mile. So, the total cost can be represented as 4.80 + 4d. Given that the total fare was $44.80, we can set up the equation:
4.80 + 4d = 44.80
Now, solving for "d," subtract 4.80 from both sides:
4d = 40
Divide both sides by 4:
d = 10
Therefore, the taxi ride was 10 miles long. Fabian traveled 10 miles from his house to the airport.
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Need an answer whoever can do it thank youuu!!!!
Answer:
65.3ft
Step-by-step explanation:
I think it might be this I'm not sure
help me thank youuu!
Answer:
D) 5
Step-by-step explanation:
Because 5x5=25 so the square root would be 5
9. Graph the solution to the inequality x - 4y < -12?
Answer:
See below ~
Step-by-step explanation:
Finding the x-intercept :
x - 4(0) < -12x < -12x-intercept = (-12, 0)Finding the y-intercept :
0 - 4y < -12y > 3y-intercept = (0, 3)Take the two points and graph the inequality.
PLEASE HELP ASAP!!!
Answer:
11- B
moving left 90 degrees from a
because clockwise is the right direction in a circle and counterclockwise is the left direction in a circle
12- C
moving 180 degrees left from a
13- B
moving 270 degrees right from a
14- d
moving 270 degrees left from a
hope this helps! message me if you have any further questions :)
Markup is 25% of sale price of 86.67
what is the cost
Answer:
$ 69 . 34
Step-by-step explanation:
(1 +.25) x = 86.67
86.67 / 1.25 = x = 69.34
Without calculating the cubes find 1 cube+2cube+2(4) cube+(-5)cube+(-6)cube .
Find the hypotenuse of right angle triangle whose sides are 6.03 units and 7.96 units also find
the relative error?
Answer:
9.99 units
Step-by-step explanation:
since hyp=√b^2+h^2
=6.03^2+7.96^2
36.3609+63.3616
√99.7225
9.9861
i.e 9.99
The hypotenuse is is 9.98 units
What is Pythagoras theorem?
The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Given:
Sides are 6.03 units and 7.96 units
Using Pythagoras theorem,
H²=P²+B²
H²= 7.96²+6.03²
= 63.3616+36.3609
= 99.7225
H=9.98 units.
Hence, the hypotenuse is 9.98 units.
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Can someone solve this for me?
Which of the following points could be the initial point of vector v if it has a
magnitude of 10 and the terminal point (-3,3) ?
(-9,-5)
(-13,-7)
(0,2)
(-0.3,0.3)
The initial point of vector v if it has a magnitude of 10 and the terminal point (-3,3) is option B (-9,-5).
How to find the vector component?If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The magnitude of 10 and the terminal point (-3,3).
v = ai + bj
v = [tex]\sqrt{a^2 + b^2}[/tex]
10 = [tex]\sqrt{a^2 + b^2}[/tex]
AB = (-3 - a)i + (3 - b)j
If we put (-9,-5)then
AB = (-3 - a)i + (3 - b)j
AB = (-3 + 9)i + (3 + 5)j
AB = 6i + 8j
Put the value in the vector magnitude
10 = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{6^2 + 8^2}\\\\\sqrt{36+ 64}\\\\\sqrt{100}[/tex]
10 = 10
Thus, The correct option is B (-9,-5).
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A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 2 feet. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the zucchini section?
Base on the total area of the square garden and the number of plants planted on it, the area of the zucchini section is 15 feet²
How to find area of zucchini section?Side Length of the square garden = 8 feet
Area of the garden = side length ²
= 8 feet × 8 feet
= 64 feet²
Flower portion:
Side Length = 2 feet
Area of flower portion = side length ²
= 2 feet × 2 feet
= 4 feet²
Remaining space = Area of the garden - Area of flower portion
= 64 feet² - 4 feet²
= 60 feet²
Remaining space is divided into 4 equal sections
= 60 feet² / 4
= 15 feet²
Therefore,
Tomatoes section = 15 feet²
Onions section = 15 feet²
Zucchini section = 15 feet²
Pepper section = 15 feet²
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Which expressions below equal a rational number? Choose all that apply. 4/5 + 3/8; sqrt(100) + sqrt(5); 7sqrt(5) - sqrt(245); (4sqrt(7))(2sqrt(7)); pi * sqrt(36)
Answer:
Step-by-step explanation:
Rational number[tex]1) \dfrac{4}{5}+\dfrac{3}{8}\\\\\dfrac{4}{5} \ \text{is a rational number} \ and \ \dfrac{3}{8} \ \text{is a rational number}\\\\\dfrac{4}{5}+\dfrac{3}{8} \ \text{is also a rational number}[/tex]
[tex]b) \sqrt{100}+\sqrt{5} = 10+\sqrt{5}\\\\\sqrt{5} \ \text{is a irrational number}. \\\\ \text{Rational number added to irrational number will result in an irrational number}\\\\10 + \sqrt{5} \ is \ not \ a \ rational \ number.[/tex]
c)
[tex]7\sqrt{5}-\sqrt{245}=7\sqrt{5}-\sqrt{7*7*5}[/tex]
[tex]= 7\sqrt{5}-7\sqrt{5}\\\\=0\\\\\text{\bf $ 7\sqrt{5}-\sqrt{245}$ ia a rational number}[/tex]
d)
[tex](4\sqrt{7})*(2\sqrt{7})=4*2*\sqrt{7*7}\\[/tex]
= 4*2*7
= 56
[tex]4\sqrt{7}*2\sqrt{7} \ \text{\bf is a rational number}[/tex]
In which function is x = 2 mapped to 32?
Answer:
[tex]f(x) = {x}^{5} [/tex]
Step-by-step explanation:
[tex]f(2) = {2}^{5} [/tex]
[tex]f(2) = 32[/tex]
Here is the graph:What is the greatest common factor of 20 and 10?
Answer:
Step-by-step explanation:
The factors common to 20 and 10 are 1, 5 and 10. The largest of these is 10. That's the GCF of 20 and 10.
Chad created a table that shows the ratio of his sports game cards.
Chad’s Cards
Card Type
Outfield
Infield
Catcher
Pitchers
Quantity
3
4
1
2
Next, Chad created the graph below showing possible ratios for Pitchers cards to Infield cards in his deck. Which of the following statements are true?
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.
Chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a Catcher card.
Chad should not have included the values (1, 2) and (3, 6) because the ratio would be different for these points.
Chad should have changed the axes for the Infield and Pitchers cards so it was the same order as the table.
Chad needs to switch the order of each (x, y) value to show the decreasing values of the Pitchers cards.
The true statement is on a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.
Chad created a table that shows the ratio of his sports game cards.
Chad’s Cards
Card Type
Outfield
Infield
Catcher
Pitchers
Quantity
3
4
1
2
Next, Chad created the graph below showing possible ratios for Pitcher cards to Infield cards in his deck.
What is the coordinate plane?
A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).
Therefore the first statement is true,
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.
Therefore option A is correct.
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Answer:
this is right
Step-by-step explanation:
i know it is