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alexandr402 [8]
3 years ago
6

Which equation has the same solution as x2 + 16x – 11 = 4?

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.

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satela [25.4K]
1.41666666667  is the answer
4 0
3 years ago
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A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make
qwelly [4]

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

5 0
3 years ago
Read 2 more answers
What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?
const2013 [10]

Answer:

(7,6)

Step-by-step explanation:

Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the coordinates of the midpoint O of the hypotenuse AC:

x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6

So, O(7,6)

4 0
3 years ago
Jade ran 6 times around her neighborhood to complete a total of 1 mile. How many times will she need to run to complete 5/6 of m
svetlana [45]
Set up a proportion where number of times is on top and miles is on bottom:
6/1 = x/(5/6)
Cross-multiply:
6*(5/6) = 1*x
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She must run 5 times around her neighborhood.
7 0
3 years ago
21 + 15 = __(7 + 5) Help me what is the missing blank
V125BC [204]

Answer:

7776

Step-by-step explanation:

7 0
3 years ago
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