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Ede4ka [16]
3 years ago
6

Please help me with this problem

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (-3, -13) or (-8, -23)

Step-by-step explanation:

The values for y can be equated and the resulting quadratic solved by factoring.

  2x -7 = x^2 +13x +17

  0 = x^2 +11x +24 . . . . . . subtract 2x-7

  0 = (x +8)(x +3) . . . . . . . .factor*

The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...

  y = 2(-8) -7 = -23

  y = 2(-3) -7 = -13

The solutions are ...

  (x, y) = (-8, -23) and (-3, -13)

_____

* The constants in the binomial factors are factors of 24 that total 11. You know that ...

  24 = 1×24 = 2×12 = 3×8 = 4×6

The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.

"24" is the constant in the quadratic. "11" is the coefficient of the x term.

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Seven-ninths of the pencils in a box are yellow. Three-tenths of the yellow pencils are sharpened. What fraction represents the
jek_recluse [69]

Answer:

7/30

Step-by-step explanation:

We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.

To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.

That is:

=> (7 / 9) * (3 / 10)

=(7 * 3) / (9 * 10)

= 21 / 90

= 7 / 30

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3 0
3 years ago
What are the coordinates of the midpoint of GH with endpoints (-2,5) and<br> H(4,1)?
kozerog [31]

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let G(-2, 5) = (x_1, y_1)

H(4, 1) = (x_2, y_2)

Thus:

M(\frac{-2 + 4}{2}, \frac{5 + 1}{2})

M(\frac{2}{2}, \frac{6}{2})

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Coordinates of the midpoint of GH = (1, 3).

6 0
3 years ago
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!
Mama L [17]
Maybe b or c I guess??
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Step-by-step explanation:

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