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Alja [10]
3 years ago
11

One integer is 5 less than another and their product is 84. Find the integers.

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

The first integer is going to be x and the second one is going to be y.

We now turn the clues into equations:

x = y - 5

xy = 84

The substitution method:

(y - 5)y = 84

y^2 - 5y - 84 = 0

(y+7)(y-12) = 0

y = -7, 12.

If y = -7, then x = -12.

If y = 12, then x = 7

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Please help i am so confused
AnnZ [28]

9514 1404 393

Answer:

  1. vertex: J, sides: JH and JK

  5. angle 3, angle M, angle LMN, angle NML

  10. angles 1, 3, 6, HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Step-by-step explanation:

Your question has too many parts for the kind of answers Brainly is intended to provide. So, we hope to alleviate your confusion by providing examples of the way these questions are answered.

__

An angle can be named by any of ...

  • its vertex
  • an angle designator in an unambiguous place (usually inside, near the vertex)
  • three points, with the vertex listed in the middle

Note that angle ABC consisting of rays BA and BC sharing end point B can also be named angle CBA.

__

1. The rays share end point J. That is the vertex of the angle. The rays are named using the end point first, so the rays in this diagram are JH and JK.

The vertex is J; the sides are JH and JK.

__

5. We note there is an angle designator inside near the vertex, point M. That designator can be used to name the angle: angle 3.

There are only two rays that meet at vertex M, so the angle can also be named by naming the vertex: angle M.

The angle can also be named by naming an point on each ray, with the vertex in the middle: angle LMN or angle NML.

The four ways to name this angle are: angle 3, angle M, angle LMN, angle NML.

__

10. All of the angles with numeric designators have V as a vertex. Those angles are angle 3, angle 1, angle 6.

In this case, we cannot use V to name an angle, because many angles have vertex V. That name would be ambiguous, not referring to a specific angle.

The other angles that have V as a vertex can be named by naming their rays. There are 4 rays that meet at vertex V. Any two will identify an angle. There are 4·3 = 12 permutations of 4 rays taken 2 at a time. For example, if we choose to use rays VJ and VK as the two rays of our angle, we can name it two ways: JVK or KVJ. (This particular angle is also angle 1.)

So, the angles that have V as a vertex are ...

  angles HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

8 0
3 years ago
A highway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning situation per square root how much cleaning situatio
crimeas [40]

Answer:

1260 ounce of the fluid.

Step-by-step explanation:

Dimension of hallway = 90 feet × 7 feet

Area of the hallway = 90 × 7

                                  = 630 square feet

Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;

                 =  \frac{area of hallway}{cleaning situation per foot}

                 = \frac{630}{0.5}

                 = 1260 ounce

The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.

5 0
3 years ago
The line passes through the points (-5,0) and (-1,-4)<br> The slope of the line is
kotykmax [81]

Answer:

-1.

Step-by-step explanation:

First, you find the distance from the first x coordinate to the second. This is done by doing -5 - -1 (aka -5 + 1), which equals -4. Then, you find the distance form the first y coordinate to the second. THis is done by doing 0 - -4 (aka 0 + 4), which equals 4. Then, you divide the distance of the y's over the distance of the x's, which gets you the slope, which is -1. Hope this helped!

8 0
3 years ago
What's 3x+5y=-7 (show step by step on paper)
Allushta [10]

Answer:

m=-3/5

Step-by-step explanation:

Simplifying

3x + 5y = 7

Solving

3x + 5y = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

3x + 5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0

3x + 0 = 7 + -5y

3x = 7 + -5y

Divide each side by '3'.

x = 2.333333333 + -1.666666667y

Simplifying

x = 2.333333333 + -1.666666667y

6 0
2 years ago
I need help with this pls:)
kompoz [17]

Answer:

it is number 3 i actually did this one not even to long ago have a good day

8 0
2 years ago
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