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____ [38]
3 years ago
5

If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system? A. The line

s intersect at one point. B. The lines are parallel. C. The lines are the same line. D. The lines cannot be graphed.
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0
I also had to do this. So I am pretty sure the answer should be A.

I think this because if there is linear lines do intersect but no linear no lines intersect. Very sorry if I’m wrong.
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Triangles PQR and RST are similar right triangles. ​ ​​Which proportion can be used to show that the slope of LaTeX: \overline{P
alukav5142 [94]

<em>Question:</em>

<em>Triangles PQR and RST are similar right triangles.  Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>

Answer:

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

P = (-7,7)

Q = (-7,3)

R = (-4,3)

S = (-4,5)

T = (2,-5)

First, we need to calculate the slope (m) of PQR

Here, we consider P and R

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

P(x_1,y_1) = (-7,7)

R(x_2,y_2) = (-4,3)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{3 - 7}{-4 - (-7)} --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

R(x_1,y_1) = (-4,3)

T (x_2,y_2)= (2,-5)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-5 - 3}{2 - (-4)} ---------- (2)

Next, we equate (1) and (2)

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

<em>From the list of given options (see attachment), option A answers the question</em>

4 0
2 years ago
Please help with my math work !<br> due tomorrow morning
Y_Kistochka [10]

Answer:

y=2x+6

Hope This Helps! :)

3 0
2 years ago
7. Solve |3x – 2| = |x + 1|
Vladimir [108]

2x -2 =1

2x = 3

x =1.5

5 0
4 years ago
Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers
Marrrta [24]
X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4,   (-4)^2 = 16,  add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
3 0
3 years ago
Help me please.<br><br> ------------------------------------------------
ladessa [460]

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

5 0
3 years ago
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