9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10
Value of first integer = x = 10
Answer:
The slope of the line is: 1
The y-intercept is: -3
You can graph the line using the slope and y-intercept, or two points.
Answer:
B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.
Step-by-step explanation:
For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.
For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.
For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.
For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.
For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.
I hope this helps, have a blessed day! :D
Answer:
Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.
Step-by-step explanation:
Answer:
1560
Step-by-step explanation:
The rate of Increase of the population (P) of the bacteria is given as:
Where k is a constant of Integration.
At t=0, P(t)=36
Therefore: