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3 years ago

Can someone help me solve this question? Step by step please

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

So what we do is we first get the x on the right side: 7x-x = 6x.

Now we get the 5 to the left side: 71-5= 66.

Now our equation is 66=6x.
We divide 66 by 6 which makes x=11

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3x+4y=-23 <br> 2y-x=-19 <br> What is the solution (x,y) to the systems of equations above?

Shkiper50 [21]

If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)

3 0

3 years ago

Number 19 and 20 help someone

Semmy [17]

Omg I have the same page as you. But here’s the first one for number 19

5 0

3 years ago

Read 2 more answers

Find the minimum value of the function f(x) = x2 + 5x – 6

Klio2033 [76]

So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.

Firstly, the equation to find the axis of symmetry is $x=\frac{-b}{2a}$ , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

$x=\frac{-5}{2*1}\\\\x=\frac{-5}{2}\\\\x=-2.5$

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

$f(-2.5)=(-2.5)^2+5*(-2.5)-6\\ f(-2.5)=6.25+(-12.5)-6\\ f(-2.5)=-12.25$

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).

6 0

3 years ago

Triangle JKL is shown on the grid below. Triangle J'K'L' is the image of triangle JKL under a 90 degree clockwise rotation about

zheka24 [161]

Answer:

J (-4 , 1) -> J' (1 , 4)

K (-2 , 1) -> K' (1 , 2)

L (-2 , 5) -> L' (5 , 2)

Step-by-step explanation:

clockwise rotation 90°: (x,y) -> (y,-x)

J (-4 , 1) -> J' (1 , 4)

K (-2 , 1) -> K' (1 , 2)

L (-2 , 5) -> L' (5 , 2)

3 0

2 years ago

consider a quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1). determine the most accurate type of quadrilateral from the

Burka [1]

Answer:

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

Step-by-step explanation:

Considering the quadrilateral with vertices

d(0,0)

i(5,5)

n(8,4)

g(7,1)

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

From the figure a, it is clear that the quadrilateral has

Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half

Please check the attached figure a.

Keywords: kite, quadrilateral

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4 0

2 years ago