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3 years ago

2. Which equation in standard form has a graph that passes through the point (-5,8) and has a

Mathematics

1 answer:

atroni [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{1}{5}$ , thus

y = - $\frac{1}{5}$ x + c ← is the partial equation

To find c substitute (- 5, 8) into the partial equation

8 = 1 + c ⇒ c = 8 - 1 = 7

y = - $\frac{1}{5}$ x + 7 ← in slope- intercept form

Multiply through by 5

5y = - x + 35 ( add x to both sides )

x + 5y = 35 ← in standard form → a

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Find the value of y.

olga nikolaevna [1]

Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles:
$\frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80}$
2. according to the Pyphagorean theorem (in the smallest triangle):
$y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}$

answer: y=√55.

4 0

3 years ago

Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

tiny-mole [99]

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

5 0

3 years ago

What is 50+_that equal420

snow_lady [41]

Answer:

370

Step-by-step explanation:

50 + x = 420

x = 420 - 50

x = 370

6 0

3 years ago

Read 2 more answers

A conveyor belt dumps gravel into conical piles. Kevin measured the height of one pile of gravel. It was 10 1/2

Eddi Din [679]

Answer:

189

Step-by-step explanation:

8 0

3 years ago

0.4= Blankx10 please answer quick

Marta_Voda [28]

Answer:

1, 0.4

2, 0.004

3, 0.04

Step-by-step explanation:

hope this helps. :)

6 0

2 years ago