Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 7)² + (y - 5)² = 16 ← is in standard form
with centre = (- 7, 5 ) and r =
= 4 → B
<u>Answer:</u>
Point Form:
(−5,1)
Equation Form:
x=−5, y=1
<u>Step-by-step explanation:</u>
Solve for the first variable in one of the equations, then substitute the result into the other equation.
1. x=5y−10
2. 20y−30=−10
3. y=1
4. x=−5
We are given coordinates of the school located at a point (9,-1).
Library is located 5 blocks south and 4 blocks west .
According to coordinate axes, south is downward and west is on left side.
So, we need to move 5 units down of 9.
<em>5 units down of 9 would be 9-5 = 4.</em>
And then <em>4 blocks west that mean -1 -4 = -5.</em>
<h3>Therefore, coordinate of the library is located at the point (4,-5).</h3>
Answer:
A
Step-by-step explanation:
The probability of rolling a 3 is
1
/6 since there is 1 three and there are 6 sides total. The probability of rolling an even number is 1
/2 since there are 3 even numbers and 6 total sides. Multiply 1
/6 and 1
/2 and the correct answer is 1
/12
.
We are given a system of equations,

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

The matrix will then be applied to the vector (lower dimensions on top),

And the result vector will be whats on the other side of equals sign,

So to put everything together,

Hope this helps :)