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Orlov [11]
3 years ago
13

Im not sure how to do this

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then then corresponding sides are in proportion , that is

\frac{NP}{ST} = \frac{NM}{SR} , substitute values

\frac{x}{25} = \frac{18}{30} ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

Similarly

\frac{UT}{QP} = \frac{NM}{SR} , that is

\frac{y}{15} = \frac{18}{30} ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

The similarity ratio is the ratio of corresponding sides , that is

\frac{NM}{SR} = \frac{18}{30} = \frac{3}{5}

SRUT is \frac{3}{5} of NMQP

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Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8
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Answer:

see explanation

Step-by-step explanation:

I don't have graphing facilities but can give you the vertex and 1 other point.

Given a parabola in standard form

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y = - x² - 2x + 8 ← is in standard form

with a = - 1 and b = - 2 , then

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

Substitute x = - 1 into the equation for corresponding value of y

y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9

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To obtain another point substitute any value for x into the equation

x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph

x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0  then (2, 0 ) is a point on the graph

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3 years ago
Factor 7(x − 3)2 − 4(x − 3) − 3 completely.
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kondaur [170]

Answer:

sqrt(10)

Step-by-step explanation:

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4vir4ik [10]
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Explain the main parts and uses of two kinds of proofs. March the word with the right definition.
slava [35]

Answer:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

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Step-by-step explanation:

A. Definition refers to a statement that exactly defines the object, thing or everything.

B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.

C. Common notion is the statement that helps to understand the common sense about the subject.

D. Theorem is a statement that shows proof on the basis of previously making statements.

E. Corollary is a statement that act as a small proof that has already been proven.

Hence, the correct matches are:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

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