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2 years ago

Simplify linear expressions : 36m+23m-9m+8-2+6m

Mathematics

1 answer:

GenaCL600 [577]2 years ago

4 0

Answer:

56m+6

Step-by-step explanation:

Subtract the numbers

36m+23m-9m+8-2+6m

36m+23m-9m+6+6m

Combine like terms

36m+23m-9m+6+6m

56m+6

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The formula for the perimeter of a triangle is Side A + Side B + Side C.

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3 years ago

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Licemer1 [7]

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

3x² + 8x - 10

Using the quadratic formula:

$\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}$

where:

a = 3
b = + 8
c = - 10

$\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}$

$\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}$

$\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}$

x = 0.927 or -3.594

Learn more about solving quadratic equations here:

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2 years ago

5xcan be written as 5 + x xxxxx 5 - x x + x + x + x+ x

AlexFokin [52]

5x can be written as x + x + x + x + x

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2 years ago

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:

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

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2 years ago

che is buying a computer that costs $2,856.he pays with $100 bills.how many notes will he give the salesperson

Ksenya-84 [330]

Answer: 29 $100 bills, and would 44 dollars back (not in real life because there would be tax but this is a math problem)

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2 years ago

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