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Vinil7 [7]
3 years ago
15

Which equation represents the relationship between x and y?

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

y=x+3

Step-by-step explanation:

The slope is 1 and the y-intercept is (0,3).

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Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)
Semmy [17]

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = \frac{168}{12}

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

5 0
3 years ago
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Simplify: 2 (5 + 3x) + (x + 10)
IgorLugansk [536]
10 + 15x + x + 10
= 16x + 20
6 0
3 years ago
For a fund raiser, the debate team sold sodas at a school dance. They spent 10 dollars to pay for the cups. The soda was donated
8_murik_8 [283]

Answer:byh

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A toy car has a mass of 2 kg and a speed of 6 m/s. How much kinetic energy does it have?
lutik1710 [3]

Answer:

A.40 J

Step-by-step explanation:

K. E. Is 1/2 multiply by mass x velocity square

M is 5kg, v is 4m/s

1/2 x5x4x4 equals 40joules.

3 0
2 years ago
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