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4 years ago

HELP WITH MY MATH PLS

Mathematics

1 answer:

Vilka [71]4 years ago

4 0

Answer:

a) slope intercept form: y = -5/14 x + 7/2

b) point slope form: y - 1 = 3/2(x - 4)

Step-by-step explanation:

a) Line A: (4,1) and (0, 7/2)

Slope = (1 - 7/2)/(4 - 0)

Slope = - 5/2 * 1/4

Slope = - 5/14

Equation in slope intercept form:

y = -5/14 x + 7/2

(4,1) and (0, -5)

Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2

Equation in point slope form:

y - 1 = 3/2(x - 4)

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Read 2 more answers

Find x and y for this triangle

Feliz [49]

Answer:

x = 1.25

x = 1.75

Step-by-step explanation:

I marked the points of this triangle in the attached image so it's easier to explain.

ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.

$\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}$

The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.

$\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25$

Now, you can do the exact same thing for y:

$\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75$

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3 years ago