Answer:
- g(x) = x^2 – 4x – 21
- g(x) = 3x^2 – 12x – 63
- g(x) = –(x + 3)(x – 7)
Step-by-step explanation:
When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.
These factors multiply out to give ...
(x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice
When this expression is multiplied by 3, it matches the third choice:
3(x +3)(x -7) = 3x^2 -12x -63
When the factored form is multiplied by -1, it matches the fourth choice:
-(x +3)(x -7)
a) 5/7
b) 4459 cm cube
c) 2275 cm cube
Step-by-step explanation:
Step 1 :
a)
The Side AB (28 cm) has been scaled to side DE (20 cm)
Let x b the scale factor.
Then we have 28 *x = 20
=> x = 20/28 = 5/7
Hence the scale factor is 5/7
Step 2 :
b)
Given the height of the triangular prism is 15 cm
Volume = ( 1/2 ) * base* height of the triangle * height of the prism
= (1/2)* 21*28*15 = 4410 cm cube.
Step 3 :
c)
Given volume of the triangular prism with base ABC is 4459 cm cube
The scale factor is 5/7
Hence the volume of the prism with DEF as base is
4459 * (5/7)*(5/7) = 2275 cm cube.
Question options :
A)64
B)192
C)128
D)384
Answer:
B)192
Step-by-step explanation:
Please find attachment
Answer:
c = -7/9p
Step-by-step explanation:
8p + 9c = p
8p − 8p + 9c = p − 8p
Step 2:
9c = −7p
Step 3:
9c/9 = -7p/9
c = -7/9p
Hope it helps, I did the quiz
Answer:
The three angles of the right-angled triangle are
a = 35°
b = 90°
c = 55°
Step-by-step explanation:
We are given the ratio of angles of a right-angled triangle
a:b:c = 7:18:11
Recall that the sum of interior angles in a right-angled triangle is always 180°
7x + 18x + 11x = 180
36x = 180
x = 180/36
x = 5
a:b:c = 7x:18x:11x
a:b:c = 7(5):18(5):11(5)
a:b:c = 35:90:55
a = 35°
b = 90°
c = 55°
Alternatively:
We are given that the smallest angle is 35°
a = 7x = 35
x = 35/7
x = 5
b = 18x
b = 18(5)
b = 90°
c = 11x
c = 11(5)
c = 55°
