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denpristay [2]
4 years ago
6

Please help me with questions 8-13 I need help this is for a grade

Mathematics
1 answer:
sergiy2304 [10]4 years ago
6 0
For triangles, area is 1/2 base times height
8. Base 15 1/4 and height 18. Base and height can be flipped around to make the math easier, so 1/2(18)(15 1/4) = 9(15 1/4) = 9(61/4) = 549/4= 137 1/4 sq inches

9. Base 13 and height 11. Area = (1/2)(13)(11)= (13/2)(11) = 143/2 = 71 1/2 sq inches

10. Same thing again. Base = 30, height = 20, so area = (1/2)(30)(20) = 15(20) = 300 square km.

11. Base = 8, height = 5, so (1/2)(8)(5)= 4(5)= 20 square feet.

12. Base = 5, height = 3, so area = (1/2)(5)(3)= (5/2)(3)= 15/2; for 200 tiles we would take (15/2)(200)= 15(100) = 1500 square cm

13. Monica forgot to multiply base and height by 1/2.
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A plant 3 inches tall grows an average of 0.5 inches each month. Which equation models the heigh h after x months
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What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes
Alex_Xolod [135]

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

<u><em>y= -7/2x - 7</em></u>

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

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