Answer:
d = 0.33
Step-by-step explanation:
First off, you want to get like terms next to each other. We'll move the numbers with variables on one side and normal numbers on the other. Since we're changing the sides of the equal sign they're on, this also changes whether their positive or negative.
d - d - 2d + 3d = 10 -7 + 8 - 10
Now that they're together, we can add or subtract them. The variables without numbers can be ones for this equation.
3d = 1
Now we divide 1 by 3 to find what d equals.
3d/3 = 1/3
d = 0.33
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)
The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
<h3>What is the scale factor?</h3>
The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
- The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.
The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
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Answer:
The polygon has 6 sides.
Step-by-step explanation:
The sum of interior angle measures of a polygon is 720 degree.
(n-2)*180=720
180n-360=720
180n=720+360
180n=1080
n=1080/180
n=6
The answer is: -3^2+8(-3)-7=-40
