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SIZIF [17.4K]
3 years ago
8

Identify the constant term in this expression. 25x + 9y + 20 + 2y

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

20

Step-by-step explanation:

constant is the term with no variables attached

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The angle of depression from D to F measures 40°. If DE = 100 m, find DF. Round your answer to the nearest tenth.
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Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)
OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of sides are

AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}

BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}

CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}

AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Slope of AB is

m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}

Slope of BC is

m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

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The sum of a number times 5 and 24 is at least -16
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Answer:

Step-by-step explanation:

5n+24 = -16

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5n = -40

/5     /5

n = -8

4 0
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Which expression is equivalent to 2√28+2√63
ArbitrLikvidat [17]

2\sqrt{28}+2\sqrt{63}=2\sqrt{4\cdot7}+2\sqrt{9\cdot7}=2\sqrt4\cdot\sqrt7+2\sqrt9\cdot\sqrt7\\\\=2(2)\sqrt7+2(3)\sqrt7=4\sqrt7+6\sqrt7=\boxed{10\sqrt7}

7 0
3 years ago
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