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dexar [7]
3 years ago
5

Evaluate each expression. d = 5 e = 8 f = 10

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

d=f

Step-by-step explanation:

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PLEASE HELP!!!!!! The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
nataly862011 [7]
y= ax^{2} -8x-3

1.

the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.

the point x=2 is the midpoint of the roots x_1 and x_2. 

so 
\frac{x_1+x_2}{2}=2

x_1+x_2=4

Remark: in the x-axis, if c is the midpoint of a and b, then c= \frac{a+b}{2}


2.
since x_1 and x_2 are roots 

a(x_1)^{2} -8(x_1)-3=0 and a(x_2)^{2} -8(x_2)-3=0

3.
equalizing:

a(x_1)^{2} -8(x_1)-3=a(x_2)^{2} -8(x_2)-3

a(x_1)^{2} -8(x_1)=a(x_2)^{2} -8(x_2)

a(x_1)^{2}-a(x_2)^{2} =8(x_1) -8(x_2)

in the left side factorize a, in the left side factorize 8:

a[(x_1)^{2}-(x_2)^{2}] =8(x_1 -x_2)

in the right side use the difference of squares formula:

a(x_1 -x_2)(x_1 +x_2) =8(x_1 -x_2)

simplify by (x_1 -x_2)

a(x_1 +x_2) =8

substitute (x_1 +x_2) with 4:

a*4 =8

a=2


Answer: C)2

5 0
4 years ago
What three pairs of numbers have 5 as there greatest common factor?
lawyer [7]

Answer:

10 and 15, 20 and 25, and 35 and 45.

Step-by-step explanation:

7 0
3 years ago
a pitcher can hold 8 times as much as a glass. the pitcher holds 64 ounces which model shows this comparison.
SpyIntel [72]

Answer:

A model that shows a pitcher holding 8 times the amount of a glass

Step-by-step explanation:

I would need a picture of the models, but I think I can still help.

Any model that shows a pitcher holding 8 times as much as a glass is the correct model. Be sure to read carefully so you pick the right model.

7 0
3 years ago
MARKING BRAINLIEST FOR CORRECT ANSWER<br><br> -13 5/7 ÷ -56/91 = ?
BlackZzzverrR [31]

Answer:

-13 5/7 divided by -56/91 is 22 2/7

Step-by-step explanation:

By checking, (don't do it my way)

#1.        13 5/7 is 96/7 as an improper fraction.

#2        Then, make it negative.

#3         -56/91 is simplified as -8/13

#4         Divide. --> -96/7 :(-8/13)=-96/7*-13/8= -96/*(-13)/7*8=1248/56=156/7

=22 2/7

3 0
3 years ago
What is the answer for 5-3x=-7
MAXImum [283]

Answer:

x=4

Step-by-step explanation:

5-3x=-7

1) you subtract the 5 from both sides

-3x=-12

2) then you divide both sides by -3

x=4

3 0
3 years ago
Read 2 more answers
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