All categories

3 years ago

What is the solution to the system of equations represented by these two lines?

Mathematics

2 answers:

Umnica [9.8K]3 years ago

8 0

The solution to the two lines is the point at which they intersect. The point at which they intersect is (3,2).

The answer is C) (3,2).

zepelin [54]3 years ago

3 0

The solution is (3,2) cause both of the lines intersect at one point (which is a solution),and that point is (3,2) :)

You might be interested in

Agent Bond is standing on a bridge, 13.5 m above the road below, and his pursuers are getting too close for comfort. He spots a

Scrat [10]

Answer:

Step-by-step explanation:

Eek! Let's give this a go. Things we know:

acceleration of Bond in free fall is -9.8 m/s/s

velocity of the truck is 25 m/s

displacement Bond will travel when he jumps is -10 m

What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.

Our displacement equation is

Δx = v₀t + 1/2at²

Filling in we have

$-10=25t+\frac{1}{2}(-9.8)t^2$

Simplifying we get

$-10=25t-4.9t^2$

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.

Good luck with this!

Cheers!

6 0

3 years ago

What are three expressions equivalent to : 2g+10h?. <br> PLEASE!!!!!

stellarik [79]

Answer:

2(1g + 5h)

(2 x g) + (2 x 5h)

4g + 10h

_______

I don't know the options so I just did 3 possible ways it could be equal

8 0

3 years ago

What is the average rate of change of f over the interval -7 < or equal to x Give an exact number

Annette [7]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

The average rate of change can be found by using the following formula

$\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}$

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

$\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}$

Good luck!

3 0

2 years ago

The sides of a square are five to the power of two fifths inches long. How is that written in radical form?

Evgen [1.6K]

Remember
$x^ \frac{m}{n}= \sqrt[n]{x^m}$
so
$5^ \frac{2}{5}= \sqrt[5]{5^2}= \sqrt[5]{25}$

5 0

3 years ago

Find the value of x (sines and cosines)

Sav [38]

You would begin by choosing which trigonometric function to use.
In this case, you would use sine.

Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.

sin(35) = $\frac{18}{x}$ (multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...

So, therefore x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)

3 0

3 years ago