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laiz [17]
2 years ago
6

Write the equation of the line yhat is perpendicular to 5x+8y=16 and passes through (-5,7)

Mathematics
1 answer:
Viefleur [7K]2 years ago
5 0

Answer:

y-7=\frac{8}{5}(x+5)

or

y=\frac{8}{5} x +15

Step-by-step explanation:

To write the equation, convert the line to slope intercept form to find the slope.

5x+8y=16

8y=16-5x

y=-5/8 x +2

The slope of this line is -5/8. The slope of the line perpendicular to this line will be the negative reciprocal or 8/5.

Write the equation using the slope m=8/5 and the point slope form.

y-y_1=m(x-x_1)\\y-7=\frac{8}{5}(x--5)\\y-7=\frac{8}{5}(x+5)

This is the equation of the line. You can convert it to slope intercept form:

y-7=\frac{8}{5}(x+5)\\y-7 = \frac{8}{5}x + 8\\y=\frac{8}{5}x +15

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Step-by-step explanation:

6 0
3 years ago
Do the product 40x500 and 40x600 have the same number of zeros
VARVARA [1.3K]

No they do not have the same number of zeroes

Although the 2 products do seem like they might have the same number of zeroes, 40 x 500 and 40 x 600

both have 3 zeroes before multiplying

if we take the first 2 digits of the 2 numbers being multiplied to get an idea of the answer

 if we take 40 x 500 - 4 x 5 = 20

then theres an extra zero added

but if we take 40 x 600 - 4 x 6 = 24

no extra zeroes added to this


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40 x 500 = 20 000

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so the answer is no they dont have the same number of zeroes

8 0
3 years ago
Read 2 more answers
The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and
nexus9112 [7]

Answer:

Step-by-step explanation:

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4x = 204

x = 51

m∠A = 2(51)° = 102°

m∠B = (51 + 14)° = 65°

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Step-by-step explanation:

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