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Rina8888 [55]
3 years ago
8

Find the values of x and y. 18. 120°=(2x + y)° (2x - y)°=140°

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0

Answer:

x = 65, y = - 10

Step-by-step explanation:

Given the 2 equations

2x + y = 120 → (1)

2x - y = 140 → (2)

Adding the 2 equations term by term will eliminate y, that is

4x = 260 ( divide both sides by 4 )

x = 65

Substitute x = 65 into either of the 2 equations and evaluate for y

Substituting into (1)

2(65) + y = 120

130 + y = 120 ( subtract 130 from both sides )

y = - 10

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3x+2y=8
nevsk [136]

The slope is 3

I am not that shure on the y intercept

3 0
4 years ago
Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they f
elixir [45]

Answer:

Step-by-step explanation:

Let X be the random variable that represents a score of Susan. We know that X has a normal distribution with average score of 225 and a standard deviation of 13. For n = 16 games, the average score \bar{X} has a normal distribution with mean of 225 and a standard deviation of 13/\sqrt{16}=13/4=3.25. Besides, the z-score related to 220 is (220-225)/3.25=-1.5385, and the z-score related to 228 is (228-225)/3.25= 0.9231. Therefore, we are looking the probability P(220 < \bar{X} < 228) = P(-1.5385 < Z < 0.9231) = P(Z < 0.9231) - P(Z < -1.5385) = 0.76

3 0
3 years ago
Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c
Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation 4x^2+5x+3=2x^2-3x

2x^2+8x+3=0

On comparing with standard quadratic equation ax^2+bx+c

a = 2, b = 8 and c = 3

So roots of the equation will be x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581

(b) c^2-14=5c

c^2-5c-14=0

a = 1, b = -5 and c= -14

So c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855

7 0
3 years ago
What is the value of the expression. -8-(-3) <br> = -8 blank 3 <br> = blank
Mashutka [201]

Answer:

Step-by-step explanation:

-(-)=+

so  -8-(-3)=-8+3

=-5

6 0
3 years ago
What is the correct standard equation of a circle with center (5,-1) and radius 12
Charra [1.4K]

The equation for a circle is

(x-h)² + (y-k)² = r²

h = your given x

y = your given k

Let's plug everything in!

(x - 5) ² + (y - (-1)) ² = 12²

Your final equation is

(x - 5) ² + (y + 1) ² = 144

<em>Hope I helped! Comment or message me if you have any questions :) </em>

6 0
3 years ago
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