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tia_tia [17]
3 years ago
10

Calculate the slope of the line that passes through the pair of points. (-5,3) and (6,-1)

Mathematics
1 answer:
postnew [5]3 years ago
5 0
M = (y2-y1)/(x2 -x1)
m = (-1 -3)/(6 + 5)
m = -4/11

answer: slope m = -4/11 (d is your answer)
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Given that x=1.5 is the only solution to the equation 4x^2 - ax + b = 0, find the values of a and b. Show all workings.
evablogger [386]
If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then

4x² - ax + b = 4(x - 1.5)²      |use p² - 2pq + q² = (p - q)²

4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)

4x² - ax + b = 4(x² - 3x + 2.25)

4x² - ax + b = 4x² - 12x + 9  |subtract 4x² from both sides

-ax + b = -12x + 9

therefore

-a = -12 ⇒ a = 12 and b = 9


5 0
3 years ago
The volume of a cone is 36 pi inches cubed. What is the volume of a cylinder with the same base and height as the cone? 12 pe in
nadya68 [22]

Answer:

108 pi

Step-by-step explanation:

The formula for volume of a cone is (1/3) * π * r² * h

36 pi = (1/3) * π * r² * h

108 pi= π * r² * h

108 =  r² * h

Formula for volume of a cylinder: πr²h

108 pi

6 0
3 years ago
If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24
Inessa [10]

Answer:

8

Step-by-step explanation:

\frac{2}{3}  =  \frac{x}{12}  \\ x =  \frac{2 \times 12}{3}  \\ x = 2 \times 4 \\ x = 8

6 0
3 years ago
Read 2 more answers
Help ill put the pics below
Aliun [14]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
The expression 12x+15x-11x can be combined because of which property
marshall27 [118]

Answer:

The expression 12x+15x-11x can be combined because of the commutative property of addition.

Step-by-step explanation:

A monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers. That means that

12x+15x-11x

all are examples of monomials.

The commutative property of addition says that changing the order of addends does not change the sum.

If we add [(a + b)+ c] or [a + (b + c)], the result will be same.

Therefore,

12x + 15x - 11x = (12 + 15 - 11)x\\12x + 15x - 11x  = (27 - 11)x\\12x + 15x - 11x  = 16x

7 0
3 years ago
Read 2 more answers
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