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Vlad1618 [11]
3 years ago
14

What is x in the equation 4x - 12 equals -7x - 111

Mathematics
2 answers:
lukranit [14]3 years ago
5 0
4x - 12 = -7x - 111
11x = -99
x = -9
HACTEHA [7]3 years ago
3 0

Answer:

x = -9

Step-by-step explanation:

I'm sorry, but I won't be explaining it, however I will show every step.

Let's begin.

4x - 12 = -7x - 111

4x - 12 + 7x = -7x - 111 + 7x

11x - 12 = -111

11x - 12 + 111 = -111 + 111

11x + 99 = 0

11x + 99 - 99 = 0 - 99

11x = -99

11x/11 = -99/11

x = -9

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Please help me!
Alexxandr [17]

A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.

We can use the Pythagorean formula to find the other leg of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5m and hypotenuse: c=13√5 m.

So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,

5²+b²=(13√5)²

25 + b² = 13²*(√5)²

25 + b² = 169* 5

25+ b² = 845

25 + b² - 25 = 845 - 25

b² = 820

b =√ 820

b = √(4*205)

b = √4 *√205

b = 2√205

b= 2* 14.32

b = 28.64

So, b= 28.6 (Rounded to one decimal place)

Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).

5 0
3 years ago
. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS
trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = \frac{1}{2}  (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

\sqrt{17^{2}-15^{2}} = RP

RP=\sqrt{289-225}

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = \frac{1}{2} (30) (33) = 495 meter²

6 0
3 years ago
Diana is painting statues. She has 7/8 fraction of a gallon of paint remaining. Each statue requires 1/6 of a gallon of paint. h
fomenos
She can paint almost 7 statues - 6.86 statues.

7/8 ÷ 1/6

21/24 ÷ 4/24

21/24 * 24/4 = 576/84

576 / 84 is approximately 6.86.
4 0
3 years ago
Which has the least result? A. 3/4-3/4 B. 3/4+3/4 C. -3/4 + 3/4 D. -3/4-3/4?
MatroZZZ [7]

Answer: D

Step-by-step explanation:

The solution to both A and C would total to about 0. Also, in B both numbers are positives, so that would also be out of the case. If you are looking for the least value, the answer would be D since -3/4 -3/4 would equal -1.5, (or -1 1/2). Therefore, your answer would be D.

Hope that helps :D

4 0
2 years ago
Read 2 more answers
What is the slope of the line?​
Zolol [24]

Answer:

-\frac{3}{2}

Step-by-step explanation:

First, find 2 points on the graph where the line intersects.

For this example, let's use (2, -1) and (4, -4). Find the slope using the rise over run equation. See below:

Slope = \frac{rise}{run} = \frac{(2, -1)}{(4, -4)} = \frac{y2 - y1}{x2 - x1} = \frac{(-4 + 1)}{(4-2)} = -\frac{3}{2}

7 0
2 years ago
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