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gayaneshka [121]
2 years ago
7

Look at this shape : which image shows a rotation?

Mathematics
1 answer:
Luba_88 [7]2 years ago
8 0

Answer:

Option C

Step-by-step explanation:

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If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

<em></em>

Step-by-step explanation:

Given

f(x)=x^3-12x^2+35x-24

f(8) = 0

Required

Find all zeros of the f(x)

If f(8) = 0 then:

x = 8

And x - 8 is a factor

Divide f(x) by x - 8

\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}

Expand the numerator

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}

Rewrite as:

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}

Factorize

\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}

Expand

\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}

Factorize

\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}

\frac{f(x)}{x - 8} = (x - 1)(x - 3)

Multiply both sides by x - 8

f(x) = (x - 1)(x - 3)(x - 8)

<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>

7 0
2 years ago
A car moves at a speed that allows it to move 45 yards in 5⁄4 of a second. How long will it take a car at the same speed to move
Dimas [21]

First, to make things easier, let's turn 5/4 into a decimal given a second is equal to 1000 milliseconds.

5/4 = 1,25

1,25 * 1000 = 1250 milliseconds = 1.25 seconds


So, we've found that 45 yards can be covered in 1.25 seconds. Now we'll use the rule of 3:

45 - 1.25

80 - x


Now we solve:

(80 * 1.25) / 45 = x

100 / 45 = x

2,22... = x


So, according to our answer, 80 yards can be covered in 2,22 seconds, which in fractions would be:

2,22 =\frac{222}{100} = \frac{111}{50}


Hope it helped,


BioTeacher101

7 0
3 years ago
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Convert square<span> units ... Pi is approximately , or </span>3.14<span> rounded to two decimal places. ... Note: In </span>finding<span>the circumference of a circle, you can </span>use<span> whichever approximation for pi .... Converting Between </span>Feet<span>and Yards in </span>Finding Area<span> .... </span>38<span>. Cost. An A-frame cabin has a triangular front with a base of 30 ft and a height of. 20 ft. Hope this helped please mark me as brianliest thx</span>
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3 years ago
4. a) Which method can be used to prove the triangles congruent?
kogti [31]
Side side side congruency theorem. if the three corresponding side in two triangles are congruent then the triangles are congruent
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3 years ago
NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657
sveticcg [70]

Answer:

33

Step-by-step explanation:

Given that :

Card numbered from: 500 - 799

The required number of values must meet both conditions 1 and 2

Condition 1 : first of the 3 digits is odd :

500 - 599 = 100

700 - 799 = 100

(100 + 100) = 200 cards

Condition 2: three digits is divisible by 6

{500 - 599} and {700 - 799}

The numbers divisible by 6 are 33

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2 years ago
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