Answer:
Required equation is: 25n = 875
Step-by-step explanation:
Let n be the number of minutes Jonathon read per day
Now
He read for 25 days and total 875 minutes
The equation will be:
We can solve this equation to find the number of minutes each day
Using Division property of Equality
Hence,
Required equation is: 25n = 875
Answer:
2 x 2 x 2 x 3
Step-by-step explanation:
Find two numbers that multiply together to form 24:
2 x 12 = 24
Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:
2 x (2 x 6) = 2 x 12 = 24
Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:
2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24
Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.
Answer:
The length of the rectangle is 12cm and the area of the rectangle is 60cm2.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2
52+b2=132
25+b2=169
25−25+b2=169−25
b2=144
√b2=√144
b=±12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.
The area of a rectangle is given by multiplying the width by the length.
A=(5cm)(12cm)
A=60cm2
Answer:
D.
Step-by-step explanation:
Ape x.
f(x)= -2 (x - 2) ( x - 4)
if x=2 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (2,0)
if x=4 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (4,0)
if x=0 ⇒f(x)= -2 *(-2)*(-4)= - 16 ⇒ graph of f(x) intercept y axis in (0,- 16)
⇒ f(x)= -2 (x - 2) ( x - 4) is the answer
