lin drew a triangle and a dilation of a triangle with scale factor 1/2. what is the center of the dilation?

Solve the following equation using the distributive property and language translation. 2(x+6)=10 ( 8th grade math )

tatuchka [14]

Answer:

X=-1

Step-by-step explanation:first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1

6 0

3 years ago

Which relationship is likely ONLY a correlation and NOT one of causation? A) As the temperature increases, the number of air con

Oksanka [162]

Answer: The answer is (C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.

Step-by-step explanation: We are given four options out of which we are to select which relationship is likely ONLY a correlation and NOT one of causation.

Causation is defined as the determination of the cause or reason for some sort of phenomenon while a correlation is simply a recognised relationship between two things or events, but it does not imply causation.In cases of correlation, one thing or event predicts another.

So, in the options (A), (B) and (D), we can see both correlation and causation simultaneously, but in option (C), we can only see correlation, NOT causation.

Thus, the correct option is (C).

6 0

3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a

Fantom [35]

Answer:

null hypothesis is p=0.41

alternate hypothesis is p<0.41

Sample proportion is 0.36

critical value for a = 0.01 is -2.2326

z-statistic is −1,0166

critical value for the level of significance 0.10 is -1.28155

we fail to reject the null hypothesis in 0.01 significance level.

Step-by-step explanation:

Let p be the proportion of the viewing audience of 11:00PM CBS newscast in the area. Then

$H_{0}$ : p=0.41

$H_{a}$ : p<0.41

Sample proportion is 0.36 and critical value (left tailed) for a=0.01 is -2.2326

sample proportion Z-score can be calculated as follows:

z(0.36)= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of vieved newscast (0.36)

p is the proportion assumed under null hypothesis. (0.41)

N is the sample size (100)

putting the numbers z(0.36)= $\frac{0.36-0.41}{\sqrt{\frac{0.41*0.59}{100} } }$ =−1,0166

if the level of significance is 0.10 then critical value would be -1.28155.

in 0.01 significance level sample mean is not in the critical region, therefore we fail to reject the null hypothesis.

5 0

3 years ago

Find the missing side the side of the triangle help

IrinaVladis [17]

Answer: X = 12.1 units

Step-by-step explanation:

Solving the side x of the triangle just requires the Pythagorean theorem.

x^2 + 7^2 = 14^2

x^2 + 49 = 196

subtract 49 on both sides, to cancel the 49 on the left side.

x^2 = 147 units

extract the square root of each side.

X = 12.1 units

Hope I Helped!

3 0

2 years ago

Write a linear equation in Slope-Intercept Form for a line that goes through the

Kitty [74]

Answer:

y = -2x -9

Step-by-step explanation:

<h2><u>in order to solve this question you have to do the following : </u></h2>

1. find the midpoint of the coordinates given

2. find the gradient of the line

3. make the equation

<h3><em><u>STEP : The midpoint </u></em></h3>

formula of the midpoint is

$\frac{x2 + x1}{2} , \frac{y2 + y1}{2}$

now place the values in the equation :

$\frac{-4 +-2}{2} , \frac{-5 + -1 }{2}$

midpoint = ( -3 , -3)

<h3><em><u>STEP 2 : The gradient </u></em></h3>

formula of finding the gradient

$\frac{y2-y1}{x2-x1}$

insert the values in the equation:

$\frac{-5-(-1)}{-2-(-4)}$

= $\frac{-4}{2} = -2$

gradient = -2

<h3><em><u>STEP 3: Form the equation </u></em></h3>

use the formula of the equation :

$(Y - y1) = m( X - x1)$

now make use of the gradient(m) and the midpoints and insert into the equation

(y-(-3)) = -2(x -(-3))

hence

y+3 = -2 (x +3)

y= -2x -6 -3

5 0

3 years ago