All categories

3 years ago

Solve for x: −5|x + 1| = 10

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

Answer:

x=10

Step-by-step explanation:

You might be interested in

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

yan [13]

Answer

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

$\sf{7x + 8x = 90 °}$

Collect like terms

⇒ $\sf{15x = 90 °}$

Divide both sides of the equation by 15

⇒ $\sf{ \frac{15x}{15} = \frac{90}{15} }$

Calculate

⇒ $\sf{x = 6 °}$

The value of X is 6°

Now, substituting / Replacing the value of x

⇒ $\sf{7x = 7 \times 6 = 42}$

⇒ $\sf{8x = 8 \times 6 = 48}$

The measure of larger angle is 48°

Hope I helped!

Best regards!!

5 0

3 years ago

Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho

Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be= x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

Time taken by Samantha

$=\frac{80}{x}$

Time taken by Tamara

$=\frac{80}{4+x}$

Equation for difference in time

$=\frac{80}{x} -\frac{80}{4+x} =1$

Solve the equation for difference in time to get value of x which is samantha speed

$=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0$

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

$x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16$

Samantha speed is 16 mph

6 0

3 years ago

Please give coordinates

blsea [12.9K]

Answer:

(1, -3)

(2, -2)

7 0

3 years ago

Compute the average (mean) from the data shown. (round to the nearest tenth)

natita [175]

Answer:

65.2

Step-by-step explanation:

Add them together and divide the answer by 9

6 0

3 years ago

What is 21 divided by 8806

horrorfan [7]

Answer: .0023847376

Step-by-step explanation:

6 0

3 years ago