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Gennadij [26K]
3 years ago
14

PLEASE HELP FAST!!! How many solutions does this system have?

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Step-by-step explanation:

  • y=3/4x+(-5)
  • -4x+4(3/4x+-5)=-20

-4x+3x-20=-20

-x=-20+20

-x=0

x=0

  • x=0 in y=3/4x-5

y=3/4×{0}-5

y=-5

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Find the distance between the two points.
Ksenya-84 [330]

Hey there!

Distance formula:

d = \sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }

Plug in variables:

d = \sqrt{(0-(-6))+(0-(-7))}

Simplify.

d = \sqrt{6+7}

d = \sqrt{13}

The distance between the two points is \sqrt{13}  units.

Hope this helps!

4 0
3 years ago
Gavin goes for a run at a constant pace of 9 minutes per mile. Ten minutes later, Lars goes for a run, along the same route, at
sweet [91]

Answer:  The answer is 35 minutes.


Step-by-step explanation:  Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.

Similarly,

In 7 minutes, distance run by Lars = 1 mile.

So, in 1 minute, distance travelled by Lars will be

d_L=\dfrac{1}{7}=\dfrac{9}{63}~\textup{miles}.

Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be

d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.

Now, difference between Lars and Gavin's rate of runnings is

\dfrac{9}{63}-\dfrac{7}{63}=\dfrac{2}{63}.

Therefore, the time taken by Lars to reach Gavin is given by

t=\dfrac{\frac{70}{63}}{\frac{2}{63}}=35.

Thus, the required time is 365 minutes.  


6 0
3 years ago
2 Which expression is equivalent to (29) ? 13 g12 qog​
sattari [20]
I’m pretty sure that it’s the third answer (q^12)! :)
5 0
2 years ago
Solve the following equation. Then place the correct number in the box provided. x/1.2=15
Schach [20]

Answer:

x = 18.

Step-by-step explanation:

x / 1.2 = 15

To isolate x we multiply both sides of ther equation by 1.2:

x = 15 * 1.2

x =  18 (answer).

7 0
2 years ago
Read 2 more answers
The altitude of a triangle is 6 cm greater than its base .if its area is 108 cm ,find its base
xeze [42]

Area of the triangle = (1/2)*base*height

base = x

height = altitude = x+6

Area of the triangle = (1/2)*x*(x+6) = 108

(1/2)*x*(x+6) = 108

x²+6x-216 =0

(x+18)(x-12)=0

x=-18, or x=12

We can use only positive value, so x=12.

Base =12 cm.


6 0
3 years ago
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