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2 years ago

19. The product of two consecutive integers is 5 more than three times the larger

1 answer:

6 0

X = larger number
x-1 = smaller number

x*(x-1)=5+3x

x^2-4x-5=0 use the formula

x=5
x-1=4
the 2 numbers are 5&4 or -1,-2

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A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$

$-12.2+12.2+x=-4.55+12.2$

$x=7.65$

Therefore, the scuba diver will travel a vertical distance of 7.65 meters.

7 0

3 years ago

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of

Firlakuza [10]

The length of the hypotenuse = 7.1 inch

Step-by-step explanation:

In an isosceles right angle triangle if one leg is 5 inch, another side along the right angle is 5 in

hypotenuse = $\sqrt{side^{2} +base^{2} }$ ( by Pythagoras theorem)

= $\sqrt{5^{2}+5^{2} }$

= $\sqrt{50}$

= 7.07106781

= 7.1 inch (approx)

6 0

2 years ago

X plus 9 divided by 7 equals 3

zavuch27 [327]

Answer- X=12

Step-by-step explanation:

X + 9/7 = 3 is our equation

Then we are going to do the opposite of dividing 7 from 9 which is multiplying 7 from 9. (on both sides)

It will leave us with - X + 9 = 21

Then we will do the opposite of adding 9 to X which is subtracting 9 from X. (also on both sides) ( whenever you do any adding or subtracting or multiplying or dividing on one side you have to do it on the other for the equation to be true)

Now it will leave us with X = 12

And that's our answer! :>

7 0

2 years ago

In this diagram, EA−→−⊥ ED−→− and EB−→− bisects ∠AEC . Given that m∠AEB = 4x + 1 and m∠CED = 3x, determine the missing measures.

alexdok [17]

Answer:

Step-by-step explanation:

8,33

7 0

3 years ago

Given mſn, find the value of x. (6x-7)º m (4x-10°

Pavel [41]

Answer:

x = 3

Step-by-step explanation:

These angles are actually equal to each other

This is because when two lines intersect, the two opposite angles are the same.

Since they are the same, you can set them equal to each other

Like so:

6x - 7 = 4x - 1

Then solve:

6x - 7 = 4x - 1

6x = 4x +6

2x = 6

x = 3

5 0

2 years ago