9514 1404 393
Answer:
A. (1, - 3/2)
Step-by-step explanation:
The coordinate of the midpoint is the average of the endpoint coordinates.
M = (A +B)/2
M = ((1, 2) +(1, -5))/2 = (1+1, 2-5)/2 = (2, -3)/2
M = (1, -3/2) . . . . . matches choice A
Answer:
Step-by-step explanation:
Given
Required
In trigonometry:
We need to solve for cosA, sinA and sinB
Given that:
and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),
So, we have:
and
For this angle A, we need t calculate its hypotenuse (z).
Using Pythagoras,
From here, we can calculate sin and cos A
and
To angle B.
Give that
and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),
So, we have:
and
For this angle B, we need to calculate its opposite (b).
Using Pythagoras,
Collect like terms
From here, we can calculate sin B
Recall that:
and
F(-10) means the x value in the equation is -10.
Replace x with -10 and solve:
4(-10) -12 = -40 - 12 = -52
F(-10) = -52
answer:
statements
1. <5 = <6
2. <4 + <5 = 180
3. <4 + <6 = 180
reasons
1. given
2. definition of linear pair
3. substitution
step-by-step explanation:
- i have written the statements and reasons seperately so just put them in the order i have
- in a proof we always put the given first
- now, we can see that <4 and <5 are "together" in a straight line, therefore they are linear pairs
- linear pairs add up to 180 (always)
- now that we have that, we can use susbtitution to get the answer want/prove what we want to prove
Answer and Step-by-step explanation:
To find the area of a rectangle, you must multiple the length times the width.
<u>14.8 × 9.9 = </u><u></u>
<u></u>
<u></u>
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