Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,

Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Answer:
437/471
Step-by-step explanation:
would consider downloading photomath
Answer: 
Step-by-step explanation:
Given : The number of children in a family is 1, 2, 3, or 4.
Little Joe (a boy) has no brothers. But he may have sisters.
The sample space for the number of child in Joe's family : {B, BG, BGG, BGGG}, where G represents girl and B represents boys.
Then , for the probability that he is an only child, favorable outcome = B
Thus, the probability that he is an only child is given by :-

Hence, the probability that he is an only child = 
Answer:
1 hour
Step-by-step explanation:
No. of pages print in 1.5 hours = 900
dividing LHS and RHS by 1.5 so that we get 1 hour in LHS
no. of page print in 1.5/1.5 (1) hours = 900/1.5 = 600.
Thus, it takes 1 hour to print 600 pages.
Given that we have to find how
long will it take her to print a book of 600 pages.
Answer is 1 hour.