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snow_tiger [21]
3 years ago
10

(4x-y=-15)(3x-2y=-10)​

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

<h2>x = -4 and y = -1 → (-4, -1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}4x-y=-15&\text{multiply both sides by (-2)}\\3x-2y=-10\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-8x+2y=30\\3x-2y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5x=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{x=-4}\\\\\\\text{Put the value of x to the first equation.}\\\\4(-4)-y=-15\\-16-y=-15\qquad\text{add 16 to both sides}\\-y=1\qquad\text{change the signs}\\\boxed{y=-1}

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A segment is dilated, and the resulting segment is shorter than the original.
kati45 [8]

Answer:

3/8 and 1/5

Step-by-step explanation:

If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.

hope this helped :)

7 0
4 years ago
Determine whether the graphs of y =-9x+12 and y=1/3x-12 are parallel, perpendicular, coincident
notka56 [123]

1) graphs y = -9x + 12 and y = 1/3x - 12 are not coincident.

2) The graphs are not parallel, because the angular coefficients are not equal

3) The condition of perpendicularity:

k_1\cdot k_2=-1, where k_1=-9;~~~ k_2=\frac{1}{3}


(-9)\cdot\frac{1}{3}=-3\ne -1 - not perpendicular

8 0
3 years ago
A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetr
liraira [26]

Answer:

x = - 1

Step-by-step explanation:

The axis of symmetry is a vertical line located at the midpoint of the zeros.

Equation is then

x = \frac{-5+3}{2} = \frac{-2}{2} = - 1 , that is x = - 1

8 0
3 years ago
HELPS ME PASS THIS YEAR. will give brainliest happily
mixas84 [53]

Answer:

Step-by-step explanation:

1.) mean is 4   1,2,3,5,6,7

2.) Four students won 12, 13, 14, 15, 16, or 17 prizes.

A total of 10 prizes were won by all the students.

3.)don't know number 3

6 0
3 years ago
Read 2 more answers
At the end of a dice game, James has -5 points and Richard has 15 points. What is the difference in their scores? A. -20 B. 10 C
Degger [83]
  • Answer:

<em>C) 20 points</em>

  • Step-by-step explanation:

<em>James - 5</em>

<em>Richard + 15</em>

<em>What is the difference in their scores ?</em>

<em>+ 15 - (- 5) =</em>

<em>= 15 + 5</em>

<em>= 20 points</em>

3 0
3 years ago
Read 2 more answers
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