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2 years ago

8. Caitlyn wants to build a fence around her flower garden,

Mathematics

1 answer:

ioda2 years ago

5 0

Answer:

Step-by-step explanation:

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A school has 825 students and 55 teachers. How many students are there per teacher?

DochEvi [55]

15 students after dividing 825 with 55

3 0

3 years ago

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Please help me out thank you.

s2008m [1.1K]

its A

Step-by-step explanation:

6 0

3 years ago

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Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

Trigonometry Identities help please

sesenic [268]

theta is in the fourth quadrant where the cosine is positive.

the third side in the triangle = sqrt (4 - 2) = sqrt2

So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)

tan theta = - sqrt2 / sqrt2 = -1

6 0

3 years ago

Find the slope-intercept form of the equation of the line that has the given properties (m is the slope). passes through (2, 2);

Mkey [24]

Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4

Final:
y = -1x + 4

7 0

3 years ago