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3 years ago

The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?

Mathematics

1 answer:

fiasKO [112]3 years ago

3 0

Answer:

y=-1/3x+10/3

Step-by-step explanation:

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Try to find x & y. I need it so much please

kumpel [21]

Answer:

x = 3

y = 5

Step-by-step explanation:

Using theorem of similar triangles, we have,

(6 + x)/6 = (7 + 3.5)/7

(6 + x)/6 = 10.5/7

Cross multiply

7(6 + x) = 10.5(6)

42 + 7x = 63

7x = 63 - 42

7x = 21

x = 21/7

x = 3

Thus:

7.5/y = (7 + 3.5)/7

7.5/y = 10.5/7

Cross multiply

7.5*7 = 10.5*y

52.5 = 10.5*y

Divide both sides by 10.5

52.5/10.5 = y

y = 5

3 0

3 years ago

5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls

miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

8 0

3 years ago

What’s the awnser to this mathematics equation

Anestetic [448]

Answer:

Half of 9

So 4.5

6 0

3 years ago

Read 2 more answers

The chart below shows the rabbit and fox populations in Boxerville over the last year. Of the choices below, in which month were

Nady [450]

August would be the correct answer.
jus look at the graph, the blue and orange r the closest together in august

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3 years ago

A drawing contains 5 circles, 8 triangles, and 6 squares. What is the ratio of triangles to circles? Write the ratio using a fra

zavuch27 [327]

Answer:

8:5 or 8/5

Step-by-step explanation:

4 0

2 years ago