4x(11+4)-3²<br> A.-6<br> B.11

podryga [215]

Angle MHL is equal to angle JHN + angle NHK

7 0

3 years ago

Luisa had $29.90 in her piggy bank. She made $5.50 a week for 4 weeks by baby-sitting. Write a sequence to show how much money s

Temka [501]

Answer:Week 1: $35.40

Week 2: $40.90

Week 3: $46.40

Week 4: $51.90

Step-by-step explanation:

29.90 + 5.50(x) = y

replace x with 1, 2, 3, or 4 for each week.

4 0

3 years ago

Which statements about the system are true?

Kruka [31]

2 Answers:

B) The lines are parallel
C) The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.