Answer + Step-by-step explanation:
an= 4(2)ⁿ⁻¹
<u>First term (n = 1)</u> :
a1= 4(2)¹⁻¹ = 4(2)⁰ = 4×(1) = 4
<u>Second term (n = 2)</u> :
a2= 4(2)²⁻¹ = 4(2)¹ = 4×(2) = 8
<u>Third term (n = 3)</u> :
a3= 4(2)³⁻¹ = 4(2)² = 4×(4) = 16
<u>Fourth term (n = 4)</u> :
a4= 4(2)⁴⁻¹ = 4(2)³ = 4×(8) = 32
Answer:
increase by 15
Step-by-step explanation:
We know the rate of change of h(x) is given by the coefficient of x, -5/7. This means any change in x will be reflected as a change in h(x) by -5/7 times the amount of the change.
Here, we're talking about a change in x of -21, so the change in h(x) will be ...
(-5/7)·(-21) = 5·(21/7) = 15
The positive sign means the value of h(x) will increase by 15.
Answer:
y=3(x+2)^2+5
Step-by-step explanation:
The vertex is (p, q) where the "p" value is the x-coordinate of the vertex and the "q" is the y-coordinate of the vertex.
Given the vertex (-2, 5) the "p" here is -2 and "q" here is 5, so plugging into the vertex form we get y=3(x+2)^2+5
I) if the triangles are similar then the corresponding angles are congruent. this means that the angles are of the same size.
ii) If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C;
180- (52+65)
= 63 , therefore; m∠C= 63
iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size
Answer:
1. y = 32
2. x = 6
3. -33 = n
4. a = -15.6
Step-by-step explanation:
1.
y-23=55
+23 +23 (23 cancels)
y = 32
2.
x - 14 = -8
+14 +14 (-14 cancels)
x = 6
3.
-15 = n + 18
-18 -18 (18 cancels)
-33 = n
4.
18.3 + a = 2.7
-18.3 -18.3 (18.3 cancels)
a = -15.6
