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Paul [167]
3 years ago
8

If the equation of a perpendicular bisector of a triangle is y = 2x + 7, what is the slope of the side that it is bisecting? Exp

lain how you know. 
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

slope = - \frac{1}{2}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 7 is in this form with slope m = 2

This line is perpendicular to the side it bisects.

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}


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What is the solution set of {x | x < -3} ∩ {x | x > 5}?
solniwko [45]

x <-3 includes the numbers-4, -5, -6..........

x> 5 includes the numbers 6, 7 , 8.....

here we have to find intersection of these two.

By intersection we mean the values of x that occur in both the sets,

here there is no number or value of x that occur in both the sets.

So answer is empty set

5 0
3 years ago
Jonah has collected 91 coins worth $7.20 in his piggy bank. his collection includes only dimes and nickels. how many dimes are t
deff fn [24]
<span>There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows: x.10+(91-X).05=7.2 Solving through will yield X =53 which means 91 - 53 = 38. 53*.10 + 38*.05 = $7.20. Other methods will also work, but this is the most straight forward.</span>
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3 years ago
What is the volume of a cylinder that has the same base and height dimensions as the cone shown below? Use 3.14 for pi the base
Zarrin [17]
Answer: I assume the radius is 1/2 the base of 6 in.

r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
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r = radius
h = height
s = slant height
V = volume
L = lateral surface area
<span>B = base surface area </span>
A = total surface area
π<span> = pi = 3.14159</span>
<span>√ = square root</span>
8 0
3 years ago
Simplify the expression 6(2x+1)+3(6x+2)
ExtremeBDS [4]

Answer:

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Step-by-step explanation:

distribute 6 into (2x+1) and 3 into (6x+2) basically multiply

12x+6+18x+6

combine like terms

12x+18x=30x

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hope this helps

7 0
3 years ago
Read 2 more answers
for the question. 19. Solve this equation: 80 = 3y + 2y + 4 + 1. A. y = 15 B. y = 75 C. y = –15 D. y = 1/5
Scorpion4ik [409]
80 = 3y+ 2y+4+1
Simplfy like terms:
80 = 5y + 5
-5           -5
75 = 5y
5       5
y = 15 
The answer is A. hope this helps

3 0
3 years ago
Read 2 more answers
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