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Burka [1]
4 years ago
8

Find the value of x and y.

Mathematics
1 answer:
nalin [4]4 years ago
5 0

Answer:

x = 21, y = 25

Step-by-step explanation:

DEFG is a parallelogram.

Diagonals of a parallelogram bisects each other.

x - 2 = 19 \\ x = 19 + 2 \\  \huge \:  \red{ \boxed{x = 21}} \\  \\ y + 1 = 26 \\ y = 26 - 1 \\ \huge \:  \purple{ \boxed{y = 25}}

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Select all of the answer choices that show the sum of 3⅖ + 2⅕.
ASHA 777 [7]

Answer:

5 3/5

Step-by-step explanation:

17/5+11/5=28/5=5 3/5

8 0
3 years ago
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A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of
pantera1 [17]
A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.

4 0
3 years ago
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I need help please, I am so confused.​
vazorg [7]

Answer:

\begin{tabular}{| c | c | c |}\cline{1-3} Equation & x-intercepts & x-coordinate of vertex\\\cline{1-3} $y=x(x-2)$ & $x=0, x=2$ & $x=1$\\\cline{1-3} $y=(x-4)(x+5)$ & $x=-5, x=4$ & $x=-0.5$\\\cline{1-3} $y=-5x(x-3)$ & $x=0, x=3$ & $x=1.5$\\\cline{1-3} \end{tabular}

Step-by-step explanation:

x-intercepts are when the curve intercepts the x-axis, so when y =0.

Therefore, to find the x-intercepts, substitute y = 0 and solve for x.

The vertex is the turning point:  the minimum point of a parabola that opens upward, and the maximum point of the parabola that opens downward.  As a parabola is symmetrical, the x-coordinate of the vertex is the midpoint of the x-intercepts.

Equation:  y=x(x-2)

\implies x(x-2)=0

\implies x=0

\implies (x-2)=0 \implies x=2

Therefore, the x-intercepts are x = 0 and x = 2

The midpoint of the x-intercepts is x = 1, so the x-coordinate of the vertex is x = 1

Equation: y=(x-4)(x+5)

\implies (x-4)(x+5)=0

\implies (x-4)=0 \implies  x=4

\implies (x+5)=0 \implies x=-5

Therefore, the x-intercepts are x = -5 and x = 4

The midpoint of the x-intercepts is x = -0.5, so the x-coordinate of the vertex is x = -0.5

Equation: y=-5x(3-x)

\implies -5x(3-x)=0

\implies -5x=0 \implies x=0

\implies (3-x)=0 \implies x=3

Therefore, the x-intercepts are x = 0 and x = 3

The midpoint of the x-intercepts is x = 1.5, so the x-coordinate of the vertex is x = 1.5

\begin{tabular}{| c | c | c |}\cline{1-3} Equation & x-intercepts & x-coordinate of vertex\\\cline{1-3} $y=x(x-2)$ & $x=0, x=2$ & $x=1$\\\cline{1-3} $y=(x-4)(x+5)$ & $x=-5, x=4$ & $x=-0.5$\\\cline{1-3} $y=-5x(x-3)$ & $x=0, x=3$ & $x=1.5$\\\cline{1-3} \end{tabular}

4 0
3 years ago
Select all that apply
artcher [175]

x< -1 is the graph going down or up when x is less than -1?  its going down , so this is true

Range is the y values.  It appears to go down to y=5 and go up so its not all reals

x< -1 is the graph going down or up when x is less than -1?  its going down , so this isn't true

Domain is the x values and it does include all reals

Minimum (-1, 5), is that the value of vertex at the bottom, yes it is, so this is true

4 0
3 years ago
What is the answer in fraction form?<br><br>-4/3÷9/5=?
Katarina [22]

Answer:

-20/27

Step-by-step explanation:

-4/3 ÷ 9/5

= -4/3 * 5/9

= -20/27

Hope it helps :)

7 0
3 years ago
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