Answer:
x = -0.2
Step-by-step explanation:
Cross multiply
9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.
1.8 (6x + 1) = 1.8 x Remove the brackets on the left
1.8*6x + 1.8 = 1.8x Multiply the factors on the left. Don't do anything with the plus sign
10.8x + 1.8= 1.8x Subtract 1.8 from both sides
10.8x = 1.8x - 1.8 Subtract 1.8x from both sides
10.8x - 1.8x = -1.8
9x = - 1.8 Divide by 9
x = -1.8/9
x = - 0.2
Check
This is one question you should check. There's lot's of room for an error.
<em><u>LHS</u></em>
0.2(6x+1)/3.6
0.2(6 * -0.2 + 1) / 3.6
0.2( - 1.2 + 1) / 3.6
0.2( - 0.2) / 3.6
- 0.04 / 3.6
- 0.011111111
<em><u>RHS</u></em>
0.5 ( - 0.2)/9
-0.1/ 9
- 0.0111111 And the left and right side check.
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
#3
385 of 438 is 170.24 but since you cant have a quarter of a person it would be about 170 student
Answer: the y intercept is -5
You can use the slope intercept form to find the answer. Aka y = mx + b
In this equation m is equal to the slope and b is equal to the y-intercept.
We already know the slope, 4. And we have two different point we can choose from. I’ll show how to solve with the first (1,-1) point.
Answer:
4th option
Step-by-step explanation:
given
sinΘ =
and cosΘ =
, then
(
)² + (
)²
=
+ 
= 
=
= 1
showing sin²Θ + cos²Θ = 1