It’s the distributive property.
Two equivalent expressions are multiply 12+4x by 2= 24+8x, and divide 12+4x by 2= 6+2x
Answer:
4 inches
Step-by-step explanation:
<u>Triangular prism formulas</u>
Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
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<u>How to find the height of a triangle - formulas</u>
area = b * l / 2, where b is a base, l - length.
so l = 2 * area / b/w-width.
<u>Solve</u>
1/2 x 6 x 8 x ? = 96
2 x 96 = 192
192/8 = 24
24/6 = 4
length = 4 inches
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
Answer:
x = -27
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(5 • (x + 3)) - 4 • (x - 3) = 0
Step 2 :
Equation at the end of step 2 :
5 • (x + 3) - 4 • (x - 3) = 0
Step 3 :
Equation at the end of step 3 :
x + 27 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : x+27 = 0
Subtract 27 from both sides of the equation :
x = -27
One solution was found :
x = -27
Processing ends successfully
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Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
We have:
Age (years) (x) 15 21 17 22 16 19 18
Number of questions they could answer(y) 17 17 17 17 17 17 17
As we can see all y values are the same.
n∑y² = 7(2023) = 14161
(∑y)² = 119² = 14161
If we put the value of the above data the value will become undefined.
Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
Learn more about the correlation here:
brainly.com/question/11705632
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