Answer: x = 2.65, y = 3.81
Step-by-step explanation:
ABC similar to PQR
1) Find the ratio of corresponding sides
2) Use that ratio to find values for x & y
1) Side AB = 2.76cm & Side PR = <em>y</em><em> </em>cm
Side BC = <em>x</em> cm & Side RQ = 3.66 cm
Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)
Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14
Length of sides ABC = 3/4.14 times the length of sides PQR
2) x = (3 / 4.14) * 3.66 = 2.65
Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (<em>y </em>)
<em>equality property</em> (both sides) & inverse operation to isolate <em>y : </em> . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (<em>y</em><em>)</em>
2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (<em>y</em><em>)</em>
(2.76 * 1.38 ) = 3.81 = <em>y</em>
<em></em>
<em>Scale Factor Method: Determine the Multiplier</em>
Small to Big or Big to Small ➜ Be sure not to switch
Y=1x+(-5) because the y-intercept is negative 5 and that is going to be the B value. Because anything that multiplies with zero equals zero so when you input 0 for x the b value would always be the y-intercept.
Answer:

Step-by-step explanation:
1) regroup term.

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

3) Factor out the common term 4.

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

5) Expand by distributing terms.

6) Remove parentheses.

6) Collect like terms.

8) Simplify.

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>-x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>
Answer:
Your answer would be (B. I don't know what the options are, but I did a quiz with this question, and picked B. And got a %100!
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
<em>See attachment for complete question</em>
Given
Malcom's Family:

To determine the equation of Theo's family, we refer to the attached graph.
From the graph:


First, we determine the slope, m:




Next, we determine equation for Theo's family using:



Add 50 to both sides


So, we have the following:
--- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
--- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:


<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>