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suter [353]
3 years ago
7

When graphing a system (2 or more) inequalities, the solution set is where the shading on the graph overlaps.

Mathematics
1 answer:
dexar [7]3 years ago
5 0
The Correct answer is true
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3 years ago
How many sides does the smallville orb of kandor have?
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)
Alex_Xolod [135]

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

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3 years ago
Help Are the triangles similar? If so, determine the scale factor of ΔPQR to ΔEFD.
alex41 [277]
The answer is B. 
When you set up a ratio of all the corresponding sides, the ratios all equal 2:1
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