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ddd [48]
3 years ago
9

What is the y-intercept of 2x+5y=−20 ? (0,−4) (10,4) (0,10) (−4,0)

Mathematics
2 answers:
vovangra [49]3 years ago
5 0

Answer:

(0,-4)

Step-by-step explanation:

Just took the quiz

Katen [24]3 years ago
3 0
Okay so for this problem you want to change it to an slope-intercept equation (y=mx+b, where m=slope and b=y intercept). so first you want to subtract 2x from both sides to isolate 5y, which gives you 5y=-2x-20. After that you want to isolate y so you’ll divide both sides by 5. This gives you y=-2/5(x) - 4. because b is the y-intercept and -4=b, then the y-intercept is -4. from here you need to know that coordinates are listed as (x, y) so the y-intercept is where x is equal to 0. So the answer is (0,-4). Does that make sense?
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3 years ago
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How many x-intercepts does the graph of y = 4x^2-12x+9 have?
Marianna [84]

Answer:

(3/2,0)

Step-by-step explanation:

Substitute 0 for y and solve for x

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1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work
vodka [1.7K]

By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

Combine like terms of the expression,

(5x + 3x) + (5 + 12) = 153

8x + 17 = 153

8x = 153 - 17

x = \frac{136}{8}

x = 17

Substitute the value of 'x' to get the measure of each angle,

m(∠ABD) = (5x + 5)

                = 5(17) + 5

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m(∠DBC) = (3x + 12)

                = 3(17) + 12

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Learn more,

brainly.com/question/4838302

8 0
2 years ago
What is the equation of the circle with center (5,-4) and containing the points (5,-2)
gtnhenbr [62]

Answer:

The equation of a circle is (x-5)^2+(y+4)^2=4 .

Step-by-step explanation:

-The equation of a circle is:

(x-h)^2+(y-k)^2=r^2 (where center is (h,k), the point (x_{1},y_{1}) and the radius known as r).

-Use the center (5,-4) and the point (5,-2) for the equation:

(5-5)^2+(-2+4)^2=r^2

-Solve the equation:

(5-5)^2+(-2+4)^2=r^2

0 + (-2)^2=r^2

4 = r^2

\sqrt{4} = \sqrt{r^2}

2 = r

-After you found the radius, use the center (5, -4)  and radius 2 to get the equation of a circle:

(x-5)^2+(y+4)^2=2^2

-Then, after you have the equation, the radius needs to simplified by the exponent:

(x-5)^2+(y+4)^2=4

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3 years ago
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