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3 years ago

7+

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Ok so

(-3)(5x+-13)
=(-3)(5x)+(-3)(-13)

So your answer should be A. -15x+36

Hope this helps ❤️

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A pair of tow trucks are pulling on a trailer that is stuck

Varvara68 [4.7K]

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

$A^{2}=B^{2}+C^{2}-2AB cos \alpha$

so we can use the data given by the problem:

$R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha$

so we can solve this for R, so we get:

$R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}$

now we can substitute:

$R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}$

which yields:

R=10,244Lb

8 0

3 years ago

How do u make a sentence or a math problem with 2k-10=6

Sedbober [7]

Here's an example.
Sally was buying two mangos at the grocery store. She brought a coupon that day and god 10 dollars off the mangos, <em>k,</em> price. The cashier told her to pay $6. How much did each mango cost?

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4 years ago

PLEASE ANSWER ASAP For the equation y=2x2-16x+30 Identify the vertex and convert into vertex form. STEP BY STEP PLEASE EXPLAIN H

Mnenie [13.5K]

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

$2x^2-16x=-30$

Next, the rule is that the leading coefficient has to be a positive 1. Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

$2(x^2-8x)=-30$

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

$2(x^2-8x+16)$

That's the left side. Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

$2(x^2-8x+16)=-30+32$

Completing the square allows us to create a perfect square binomial on the left which is in the form (x - )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

$2(x-4)^2=2$

Last step is to move the constant back over and set the quadratic back equal to y:

$y=2(x-4)^2-2$

From here the vertex is apparent. It is (4, -2).

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3 years ago

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smalle

dsp73

<span>The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.</span>

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3 years ago

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Gross earnings are $655.12. Calculate social security deduction from earnings. (round answer)

viktelen [127]

Answer:

social security rate is 6.2%

$614.50 is the net earnings after deduction

Step-by-step explanation:

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3 years ago