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Dovator [93]
3 years ago
13

Line segment AB has endpoints A(1, 4) and B(2, 8) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has en

dpoints A′(18, 12) and B′(14, 1) . What is the scale factor of the dilation? 1/8 1/2 2 8
Mathematics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

The answer is 1/8!

Step-by-step explanation:

I took the test and got this question correct! Good luck everyone, you'll do great! Especially with this correct answer =)

kumpel [21]3 years ago
7 0
To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
                            d = √(x₂ - x₁)² + (y₂ - y₁)²
 Substituting the known values.

Line Segment 1:     d = √(1 - 2)² + (4 - 8)²  = 4.123

Line Segment 2:     d = √(18 - 14)² + (12 - 1)² = 11.70

Dividing the answers will give us 0.352
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−3(2+4k)+7(2k−1) eqivalent expression
Alex17521 [72]

Answer:

\large\boxed{-3(2+4k)+7(2k-1)=2k-13}

Step-by-step explanation:

-3(2+4k)+7(2k-1)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(-3)(2)+(-3)(4k)+(7)(2k)+(7)(-1)\\\\=-6-12k+14k-7\qquad\text{combine like terms}\\\\=(-12k+14k)+(-6-7)\\\\=2k-13

6 0
3 years ago
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year
puteri [66]

Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

8 0
3 years ago
Im really stook does any one know 6÷3/5
IRISSAK [1]
Ok so if the <span>6÷3 does not have a bracket, then the answer would be:

</span><span>6÷3/5 = 6 * 5/3 = 2 * 5 = 10

Hope this helps!</span>
3 0
3 years ago
|2 + 3x| = |4 - 2x|<br> Plz
KiRa [710]

Answer:

3x+2|=lpz(|−2x+4|)

Step-by-step explanation:

4 0
2 years ago
Evaluate 2 sin 60° + tan 45° + cos²60°​
DerKrebs [107]

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2,  tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 +  1.25

3 0
3 years ago
Read 2 more answers
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