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3 years ago

Write the equation of a line in slope-intercept form from the graph below.

Mathematics

2 answers:

NeX [460]3 years ago

7 0

Answer:

$y=x$

Step-by-step explanation:

From the graph of the line you can see that this line passes through the points (0,0) and (1,1).

The equation of the line that passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1).$

Therefore, the equation of the graphed line is

$y-0=\dfrac{1-0}{1-0}(x-0),\\ \\y=x.$

sweet [91]3 years ago

5 0

Answer:

balls

Step-by-step explanation:

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-5n-20=-20-10(n-2) (please help)

k0ka [10]

Answer:

n=4

Step-by-step explanation:

First use distributive property to expand -10(n-2)

-5n-20=-20-10n+20

Simplify

-5n-20=-10n

Combine Like Terms

-20=-5n

Divide both sides by -5 to isolate "n"

n=4

5 0

3 years ago

Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

There are 60 inches in 5 feet.how many inches are in 8 ft?

Karolina [17]

Answer:

63in

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP WITH GEOMETRY IM STUCK!?}

Ilya [14]

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

$cos(37)=\frac{11}{x}$

step 1 multiply each side by x

$cos(37)*x=xcos(37)\\\frac{11}{x} *x=11$

now we have $xcos(37)=11$

step 2 divide each side by cos(37)

$\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\$

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

We would get that the answer is 13.8

3 0

3 years ago

Read 2 more answers

jake bought a shirt on sale for $80. The sale price of the shirt had been reduced by $40. What was the percent markdown on the s

Lorico [155]

The percent marked down on the shirt is 50%

5 0

3 years ago