Answer:
D) a = 14, b = 6√2
Step-by-step explanation:
The given figure is trapezoid.
When we draw perpendicular to base "a", we get h = 6
From 45, 45, 90 degrees triangle, the ratio of sides 1:1:√2
since h = 6, b = 6√2
a = 8 + 6
a= 14
Therefore, a = 14 and b = 6√2
Thank you.
The value of the equation is A = 42v - 59
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 29v ) - ( -13v + 59 ) be equation (1)
On simplifying the equation , we get
A = 29v - ( -13v ) - 59
On further simplification , we get
A = 29v + 13v - 59
The value of A = 42v - 59
Therefore , the value of A is 42v - 59
Hence , the equation is A = 42v - 59
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Answer: 42v-59
Step-by-step explanation:
Combine like terms
29v- -13v= 42v
The negative sign turns 59 into -59
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
___x 9=___
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)
Answer: Choice A
m = undefined
point (-2,5)
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Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
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All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
b is the awnser
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.