Answer:
y +5 = -1/3(x -3)
Step-by-step explanation:
The slope of the given line is 3. The slope of the perpendicular line is the negative reciprocal of that, -1/3. Then the point-slope equation is ...
y -y1 = m(x -x1) . . . . line with slope m through point (x1, y1)
y -(-5) = -1/3(x -3)
y +5 = -1/3(x -3)
Answer:
10^22
Step-by-step explanation:
= (10^11)(10^11) -> the bases are the same, add the exponents
= 10^22
Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
What you will do is 6.75 times 4 and the answer you should get is 27
