Mathematics, 06.07.2019 14:50 Lewis5442

1. what is the area of a parallelogram whose vertices are a(−1, 12) , b(13, 12) , c(2, −5) , and d(−12, −5) ? 2. each small square on the grid is 1 ft². which estimate best describes the area of this figure? 25 ft² 35 ft² 50 ft² 65 ft²

1. what is the area of a parallelogram whose vertices are a(−1, 12) , b(13, 12) , c(2, −5) , and d(−

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Answer from: amymelvinlove

1. 238 2. 50 ftÂ˛ The area of a parallelogram is bh where b is the base, and h is the height. Since line segments AB and CD are conveniently horizontal, I'll use the length of line segment CD as the base (which is 14), and the distance between line segments AB and CD as the height (which is 17). So 14 * 17 = 238 So the area of the parallelogram is 238. As for estimating the area of the polygon in the drawing, first, look at the overall length and width. The figure covers an area 8 units wide and 8 units tall except for the corners. So the upper limit on it's size is 64. Now look at the upper left hand corner. A bit over 3 square units isn't covered. So the new upper limit to your estimate is 64 - 3 = 61 units. Look at the upper right corner. Looks like about 3.5 units aren't covered there. So the new estimate becomes 61-3.5 = 57.5. Looking at the lower left corner let's us subtract another 4 units giving 57.5 - 4 = 53.5. Lower right corner shows another 4 units or so uncovered, so 53.5 - 4 = 49.5. Now look at the available choices of 25, 35, 50, and 65 to see what's closest. And that's obviously 50. So the answer is 50 ftÂ˛.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

answer: idk

step-by-step explanation:

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1. what is the area of a parallelogram whose vertices are a(−1, 12) , b(13, 12) , c(2, −5) , and d(−...