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Bad White [126]

3 years ago

7

Find the value of "r" so that the line through (2,-3) and (-4,r) has a slope of -1/2

1 answer:

trapecia [35]3 years ago

4 0

Hi there! The formula for finding slope is y2 - y1/ x2 - x1. -4 represents x2, and 2 represents x1. -4 - 2 is -6. If you think about it, 3/-6 makes -1/2. -3 is y1, so we will be adding, because adding a negative number actually means adding. 0 - (-3) gives us 3. There. The value of r is 0.

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8. In the figure, ADC is a straight line.

dlinn [17]

Answer:

a). ΔABC ~ ΔBDC

b). m(BD) = 6 units

Step-by-step explanation:

If ΔABC ~ ΔBDC,

a). Ratio of the corresponding sides of both the triangles will be equal.

$\frac{AB}{BD}=\frac{BC}{DC}=\frac{AC}{BC}$

$\frac{BC}{DC}=\frac{AC}{BC}$

$\frac{12}{9}=\frac{7+9}{12}$

$\frac{4}{3}=\frac{4}{3}$

Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.

b). $\frac{AB}{BD}=\frac{BC}{DC}$

$\frac{8}{BD}=\frac{12}{9}$

BD = $\frac{9\times 8}{12}$

BD = 6

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Evaluate the expression 3x^2+ y if x = 1 and<br> y = -3.

elena-14-01-66 [18.8K]

3(1)^2-3= 0
Plug in the numbers because x=1 plug In 3(1)^2 and it equals 3 then subtract y which is 3-3= 0

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