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3 years ago

X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of

1 answer:

3 0

X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5

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How should this problem be solved? (a^3)^2

fiasKO [112]

(a^3)^2
= a^(3*2)
= a^6
or
a^3 * a^3
= a^(3+3)
= a^6

7 0

3 years ago

Write 0.16666 as a fraction

olchik [2.2K]

This one you can do by multiplying the number by ten, getting 1.666, or 1+0.66. 0.66 is easy to put into a fraction form as 2/3. add the other 3/3 from the whole 1 to get 5/3. From here you either divide by 10 or multiply by 1/10, as KCF will do that anyways if you divide to get 5/30, or 1/6.

4 0

3 years ago

Read 2 more answers

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

lina2011 [118]

Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

6 0

2 years ago

The dual bar chart shows the hair colour of boys and girls in a year group.

Natasha2012 [34]

The fraction of the red haired students are boys will be 2 / 5.

<h3>What is a fraction number?</h3>

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The dual bar chart shows the hair colour of boys and girls in a year group.

The total number of the boys and girl will be

Total = 6 + 9

Total = 15

Then the fraction of the red haired students are boys will be

⇒ 6 / 15

⇒ 2 / 5

More about the fraction number link is given below.

brainly.com/question/78672

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