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4 years ago

The answer was 64cm

Mathematics

1 answer:

mamaluj [8]4 years ago

6 0

Answer:

I'm guessing you want a word problem that answers this?

Step-by-step explanation:

The length of a rectangle is 8 cm more than 3 times its width.

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What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

$x=1$

3 0

3 years ago

John left his house in Irvine at 8:35 am to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50.

Vsevolod [243]

Answer:

b is the correct answer. I'm 95% positive

Step-by-step explanation:

4 0

4 years ago

Can someone help with this

kari74 [83]

Answer:

I think D option is write hope you help

5 0

3 years ago

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

Mashcka [7]

Answer:

The variance of the given data is 106.9667

Step-by-step explanation:

The variance, S² of a sample is given by the expression;

$S^2 = \dfrac{\sum \left (x_{i}-\bar{x} \right )^{2}}{n-1}$

Where:

$x_{i}$ = One of the observations

$\bar{x}$ = The mean of the observations

n = Number in the sample = 6

The mean = Σ $x_{i}$ /n = (26 + 32 + 29 + 16 + 45 + 19 )/6 = 167/6 = 27.833

Therefore, we have;

S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.

3 0

3 years ago

Two vehicles are driving along a straight roadway at a constant speed. At a certain point in time, a car is 1.2 miles away from

Maurinko [17]

Answer:

The expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds

Step-by-step explanation:

The parameters given are;

Distance, d between car and landmark = 1.2 miles

Speed of car = 65 miles/hr

Distance between truck and landmark = 0.7 miles

Speed of car = 55 miles/hr

The expression for the total distance between the car and the landmark as a function of time t is given as follows;

Distance, d = Speed, v × Time, t

Therefore, the expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds.

7 0

3 years ago