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3 years ago

9

Evaluate The Expression 3(× - 1)² +2× - 7 for × = 3

2 answers:

Over [174]3 years ago

8 0

(hope that helps )

ANSWER: 35

STEP BY STEP:

First rewrite the equation
(sry I cannot do exponents so I put the whole #) ⇩

3(x-1)2 + 2x -7

Then substitute x for what it is, in this case 3.

3(3-1)2 + 2x -7

Distribute

(9-3)2 + 2(3) - 7

Solve what is inside the parentheses

6 2 + 2(3) - 7

Solve exponents

36 + 2(3) - 7

Solve multiplication

36 + 6 - 7

Add

42 - 7

Subtract for final answer

35

jeyben [28]3 years ago

6 0

$\bf 3(x-1)^2+2x-7\implies \stackrel{\stackrel{x=3}{\cfrac{}{}}}{3[(3)-1]^2+2(3)-7}\implies 3[2]^2+6-7 \\\\\\ 3[4]+(-1)\implies 12-1\implies 11$

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Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y

astra-53 [7]

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3 years ago

An equilateral triangle has a height of 10 feet. How long is one of its sides? (Note: In an equilateral triangle, all sides have

lidiya [134]

Answer:

side length is $\frac{20\sqrt{3} }{3}$ feet

Step-by-step explanation:

An equilateral triangle has a height of 10 feet. the height of the triangle is the perpendicular bisector to the base

so it forms a two right angle triangle

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the diagram is attached below

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3 years ago

Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure

Tju [1.3M]

<u>Corrected Question</u>

Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure of ∠QTS and

mRQT=mRST .

(a)Determine the measure of Angle QTS .

(b)What is the common measure of angles RQT and RST ?

Answer:

(a)48 degrees

(b)90 degrees

Step-by-step explanation:

Theorem: Opposite angles of a cyclic quadrilateral are supplementary.

(a)

Let the measure of ∠QTS=x

Therefore: m∠QRS=3x-12

∠QTS and ∠QRS are opposite angles of a cyclic quadrilateral. By the theorem above:

x+3x-12=180

4x=180+12

4x=192

x=48 degrees

The measure of angle QTS is 48 degrees.

(b)Since mRQT=mRST

mRQT and mRST are opposite angles of a cyclic quadrilateral

Therefore:

mRQT+mRST=180 degrees

2mRQT=180

mRQT=90 degrees

Therefore, the common measure of RQT and RST is 90 degrees.

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3 years ago