Answer:
-2/3
Step-by-step explanation:
-4x -4x
-4x+12=6y
/6 /6
-2/3+2=y
so the slope is -2/3
a height of 23 cm. What is
the volume of the prism?
Answer:
The volume of the rectangular prism is 207cm³
Step-by-step explanation:
To calculate the volume of a triangular prism we have to use the following formula:
a = area = 9cm²
v = volume
h = height = 23cm
v = a * h
we replace the values that we know
v = 9cm² * 23cm
v = 207cm³
The volume of the rectangular prism is 207cm³
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)
The product that is equivalent to the given expression is: A. (5x-4)(5x+4)..
Equivalent expressions are expressions that have equal value when simplified.
(5x-4)(5x+4) is equivalent to 25x² – 16 because if we expand we would have:
5x(5x+4) -4(5x+4)
5x² + 20x - 20x - 16
Add like terms
25x² – 16
Therefore, the product that is equivalent to 25x² – 16 is: A. (5x-4)(5x+4).
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through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
Answer:
-44
Step-by-step explanation:
half of the length of AB
double the length of DO
one-fourth the length of AC
equal to the length of AO
Answer
double the length of DO
Explanation
For a trapezium, two of the opposites are parallel. The diagonals act like a transverse to the two the pair of parallel lines.
This makes the two diagonals to have some properties.
In the diagram shown, if 2AO = CO, for the other diagonal 2DO = BO.
∴ the length of BO is double the length of DO.