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STatiana [176]
2 years ago
5

State the x- and y-intercepts of

Mathematics
1 answer:
Makovka662 [10]2 years ago
8 0
The x intercept is (5,0)
The y intercept is (0,2)
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What is the center and radius of x^2+6x+y^2-4y =-4?​
Nat2105 [25]

Answer:

The center of this circle is at (-3,\, 2). The radius of this circle is 3.

Step-by-step explanation:

A circle with center (a,\, b) and a radius of r (r > 0) could be expressed as:

(x - a)^{2} + (y - b)^{2} = r^{2}.

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

(x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}.

x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}.

The equation in this question is:

x^{2} + 6\, x + y^{2} + (-4)\, y = -4.

Match up the coefficients of x and y in the two equations.:

  • Coefficient of x: (-2\, a) = 6.
  • Coefficient of y: (-2\, b) = (-4).

Thus, a = (-3) and b = 2.

The constants of the two equations should also match up:

(-a^{2} - b^{2} + r^{2}) = (-4).

Substitute in a = (-3) as well as b = 2 and solve for r:

r^{2} = 9.

r = 3 (since r > 0.)

Therefore, the center of this circle is (-3,\, 2). The radius of this circle is 3.

7 0
2 years ago
Before lunch started the ratio of pizza to cookies is 5 to 6 and there was total of 99 pizzas and cookies
kow [346]

Answer:

72 pizzas were eaten

Step-by-step explanation:


5 0
2 years ago
Given triangle XYZ:<br> Angle X = 90°<br> Angle Y = 45°<br> Angle Z=
Anvisha [2.4K]

Answer:

Hello! answer: 45

Step-by-step explanation:

90 + 45 + 45 = 180 therefore z = 45 hope that helps!

4 0
2 years ago
Read 2 more answers
What is the point-slope equation of the line with slope -13 that goes through the point (5,7)
tangare [24]
Point slope formula: 
y-y_1=m(x-x_1)

We know that:
m=-13 
y1=7
x1=5
Plug those into the equation to get a final answer of:
y-7=-13(x-5)

3 0
3 years ago
A-3/4=1/8 what is the answer
Nana76 [90]

Answer:

7/8

Step-by-step explanation:

a-3/4=1/8

make 3/4 into 6/8, they are the same, a-6/8=1/8 you add 6/8 to 1/8 and get 7/8

3 0
3 years ago
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