9514 1404 393
Answer:
- y < -2x +3
- y > 1/2x -2
Step-by-step explanation:
To find the equation of each boundary line, look for the y-intercept. Then find the rise and run to the next grid intersection to the right that is crossed by that line. The equation for the line is ...
y = mx + b . . . . . . m = rise/run = slope; b = y-intercept.
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The lines are both dashed, so the inequalities will not include the "or equal to" case. For line (1), the shading is below the line, so the appropriate inequality symbol is <. For line (2), the shading is above the line, so the appropriate inequality symbol is >.
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<u>Line 1</u>
y-intercept = +3. m = -2/1 = -2
y < -2x +3
<u>Line 2</u>
y-intercept = -2. m = 1/2
y > 1/2x -2
For question 4,
units,
For question 5,
units.
Step-by-step explanation:
Step 1:
Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.
We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.
Step 2:
For question 4, the first rectangle has a length of 9 units while the width is 3 units.
For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.
The ratio of the first rectangle to the second is;
So
units.
Step 3:
The shapes in question 5 are made of a square and a triangle.
For the first shape, the side length is 6 units while the side of the triangle is 10 units.
For the second shape, the side length is 5 units while the side of the triangle is x units.
The ratio of the first shape to the second is;
So
units.
Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:

Step-by-step explanation:
Given


Required
Determine the area of the triangle
The given lengths represent the height and base length of the triangle.
So, the area is;

Substitute values for Length1 and Length2




Express 2^3 as 2 * 2 * 2


Split


