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Mice21 [21]
4 years ago
5

Select the correct answer.

Mathematics
1 answer:
IceJOKER [234]4 years ago
4 0

Answer: Option D. y+2x=3


Solution

If a line with a slope of -2:

Slope: m=-2

crosses the y-axis at (0,3):

(0,3)=(0,b)→b=3

What is the equation of the line?

y=mx+b

Replacing the known values:

y=-2x+3

Adding 2x both sides of the equation:

y+2x=-2x+3+2x

y+2x=3


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A baboon steals an apple and runs to a nearby boulder 10.0 m to its left. The baboon reaches the boulder in 1.0s with a constant
liq [111]

Answer:

Initial velocity is zero.

Step-by-step explanation:

According to second equation of motion

    s=ut+\frac{1}{2} at^2

where s = distance traveled  

           t = time taken

          a = acceleration

          u = initial velocity

here in the question we have

      s = 10 m

     t = 1 second

    a = 20ms^{-2}

plugging the known value in order to find the unknown which is u (initial velocity)

[tex]10=u(1)+\frac{1}{2} (20)(1)^2[/tex

10 = u +10

gives u =0

therefore initial velocity is zero.

4 0
3 years ago
Read 2 more answers
How would I find the value of x in this situation?
Dmitrij [34]
These two angles are corresponding angles,
so they are congruent.
12x - 4 = 10x + 10 
2x = 14
x=7


8 0
4 years ago
Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers
loris [4]
Looking at the problem, you can come up with an equation for the consecutive numbers. 

x^{2}  + (x + 2)^{2}  = 340

If we expand the second term:
x^{2}  +  x^{2} + 4x + 4 = 340

Combine like terms:

2 x^{2}  + 4x + 4 = 340

You can reduce this by dividing both sides of the equation by two:

x^{2} + 2x + 2 = 170

And we transpose 170 to get a standard quadratic form that the right side will be zero:
x^{2} + 2x - 168 = 0

Then factor the left side:
(x +14)(x-12) = 0

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14

7 0
3 years ago
Read 2 more answers
A student begins a proof of the law of cosines. His work is shown.
Phoenix [80]

The student made an error in <u>step 3</u>. To correct this error, he should define <u>side AY</u> in terms of <u>angle X</u>. <u>Pythagorean theorem</u> relates sides x, y, z, and <u>angle X</u>

<h3>The law of cosine.</h3>

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

cosθ = Opp/Hyp

<u>Where:</u>

  • Opp is the opposite side of a right-angled triangle.
  • Hyp is the hypotenuse of a right-angled triangle.
  • θ is the angle.

In this scenario, we can logically deduce that the student made an error in <u>step 3</u>. To correct this error, he should define <u>side AY</u> in terms of <u>angle X</u>.

After correcting this error, the student can use the <u>Pythagorean theorem</u> to relate sides x, y, z, and <u>angle X</u>.

Read more on law of cosine here: brainly.com/question/27613782

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6 0
2 years ago
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cos
Natali [406]
I think the sandwich should sell for $7.56. 
5 0
3 years ago
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