Answer:
(a) 
(b) We use the property of exponent that when there is multiplication of two function then there exponent are added
Step-by-step explanation:
We have given expression
(a) We have to find the value of a
We know the property of exponent that when there is multiplication of two function then there is addition of exponent
So 
(b) We use the property of exponent that when there is multiplication of two function then there exponent are added
Answer:
x = 2.67°
GKJ = 40°
Step-by-step explanation:
Angle HKJ = 6x + 4
Angle HKG = 9x - 4
Segment bisects Angle GKJ, it means that angle HKJ is the same as angle HKG.
You have the measure of both angles in terms of x.
Angle HKJ = Angle HKG
6x + 4 = 9x - 4
4 + 4 = 9x - 6x
8 = 3x
2.67 = x
Angle HKJ:
6(2.67) + 4 = 20°
Angle HKG:
9(2.67) - 4 = 20°
Angle GKJ = HKJ + HKG = 20 + 20 = 40°
Answer:
A. 8.3
B.18.7
C. 10.4
D. 1.04
Step-by-step explanation:
p(x) = 0.03x² + 0.56x + 6.35
A. Determination of p(3)
p(x) = 0.03x² + 0.56x + 6.35
x = 3
p(3) = 0.03(3)² + 0.56(3) + 6.35
p(3) = 0.03(9) + 1.68 + 6.35
p(3) = 0.27 + 1.68 + 6.35
p(3) = 8.3
B. Determination of p(13)
p(x) = 0.03x² + 0.56x + 6.35
x = 13
p(13) = 0.03(13)² + 0.56(13) + 6.35
p(13) = 0.03(169) + 7.28 + 6.35
p(13) = 5.07 + 7.28 + 6.35
p(13) = 18.7
C. Determination of p(13) – p(3)
From A and B above,
p(13) = 18.7
p(3) = 8.3
p(13) – p(3) = 18.7 – 8.3
p(13) – p(3) = 10.4
D. Determination of p(13) – p(3) / 13 – 3
From C above,
p(13) – p(3) = 10.4
p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3
= 10.4 / 10
= 1.04
To help solve this, we need to use the slope formula.
(y2 - y1) / (x2 - x1). We get these values by picking two points on a line.
For JL, we will pick points (-5, -3) and (-2, -4).
y1 = -4
y2 = -3
x1 = -2
x2 = -5.
Let's plug these into our formula.
(-3) - (-4) / (-5) - (-2) = -1/3
For LN, we will pick points (-2, -4) and (7, -7).
y1 = -7
y2 = -4
x1 = 7
x2 = -2.
Lets plug these values into our equation.
(-4) - (-7) / (-2) - (7) = -1/3
Therefore,
(-3) - (-4) / (-5) - (-2) = (-4) - (-7) / (-2) - (7)
The correct answer is G.
If your scale factor has absolute value greater than 1, the dilation is an enlargement.
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage.
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Hope this helps.
