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slega [8]
3 years ago
13

What are the solutions of –7x – 60 = x2 + 10x?

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0
-7x-60=x^2+10x
Or
x^2+10x=-7x-60
Add 7x to each side
x^2+10x+7x=-7x-60+7x
x^2+17x=-60
Add 60 to each side
x^2+17x+60=-60+60
x^2+17x+60=0
Next, we need to factor this base on:
ax^2+bx+x
To
ax^2+mx+nx
To be able to find m and n, we need to know two numbers that multiply together to get 60 and add together to get 17 which is 12 and 5, so m=12, and n=5
ax^2+mx+nx
x^2+12x+5x+60
Factor this:
x(x+12)+5(x+12)
(x+5)(x+12)
Then,
If
x+5=0
x=-5

If
x+12=0
x=-12. As a result, the solutions are -5 and -12. Hope it help!
abruzzese [7]3 years ago
4 0
It is gonna be X= - 60/19
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ABCD Is a rectangle that represents a park.
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Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = \sqrt{50^{2}+80^{2} } = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = \frac{15}{2} = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = \frac{47.123}{2} = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass  from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

3 0
3 years ago
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Y=1/3x + 2 what is the domain?
Trava [24]

Answer:

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Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.

So if the x-coordinates were 4,5,6,4,7,5

You would write the domain as {4,5,6,7}

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2 years ago
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Together,two boxes of spices weigh 4 pounds 8 ounces. Each pound is worth $400. How much are the boxes worth in all.
Zanzabum

The total worth of the 4 pounds and 8 ounces of box is $1800

<h3>Total cost</h3>

Weight of the boxes:

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Convert ounces to pounds:

8 ounces to pounds = 0.5 pounds

Total cost of the boxes = 4 pounds (400) + 0.5 pounds (400)

= 1600 + 200

= $1,800

Learn more about ounces to pounds:

brainly.com/question/10618309

#SPJ1

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Which ordered pair makes both inequalities true for y&gt; -2x + 3 and y ≤ x - 2
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Answer:

(2,0)

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