Y - 12 = -10
The answer is y = 2
Let <span>f(x) = 2x + 2</span>
You'll see it is a straight line, slope 2 (which is positive, i.e. going uphill as we go left to right) and y-intercept 2.
Now let's consider <span>−f(x)</span>.
This gives us
<span>−f(x) = −2x − 2</span>
Answer:
The value of m is 0.
Step-by-step explanation:
Let the point P divides the line AB in k:1.
The coordinates of line AB are A (2, 3) and B (6, -3).
The coordinates of P are (4,m).
By section formula, if a point divides a line in m:n, then
It means the point P divides the line AB in 1:1. So, P is the midpoint of AB.
Therefore the value of m is 0.
Answer:
<u>-7/4 or -1 3/4</u>
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°