Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
Answer:
Graph A
Step-by-step explanation:
For a relation to be said to be a function, each x-value must have exactly one y-value assigned to it. That is, no domain value has two different range value assigned to it.
Therefore, graph A is a function, because exactly 1 range value is assigned to each domain value.
One scale factor equation is y=cx
y is the new factor (in this case, 60 or 75)
c is the scale factor (in this case, unknown)
x is the old factor (in this case, 24 or 30)
so: plug in the values
60=c(24) divide both sides by 24
c=2.5
you can check again with the other numbers
75=c(30) divide both sides by 30.
c= 2.5
your scale factor is 2.5
Answer:
area of P=πr^2
area of Q=πr^2/4=π×400/4=100π
acc to ques
A(q)=4× A(p)
100π=4×πr^2.
100=4r^2
r^2=25
radius of p= √25=5cm
Answer:
(c) 
°
(d) 
°
(e) 
°
° and 
°
°
Step-by-step explanation:
The triangle is an isosceles triangle with the base angles which are identical. The double stroke on the sides of the triangle indicates which angles are the base angle. The angle corresponding to the side of the triangle with no double stroke is known as the vertex angle.
(c) The given angle is the vertex angle in this question and it is 70°
Since, ° is one of the base angle, then the other angle which is not drawn is identical to ° .
Total angle of a triangle is 180°.
°
°
°
°
°
Divide by 2 on both sides to get °
°
°
(d)
The given angle is a base angle in this question and it is 63°.
Since base angles are identical, then
°
°
Divide by 3 on both sides to get °
°
°
(e)
The given angle 48° is a base angle.
Since base angles are identical, then
°
°
Divide by 3 on both sides to get °
°°
Total angle of a triangle is 180°.
So, °
°
° °
°
°
Divide by 2 on both sides to get °
°°
