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2 years ago

Solve the system 2x + y = 5, x + 3y = 0 by graphing.

Mathematics

1 answer:

prohojiy [21]2 years ago

6 0

Answer:

Step-by-step explanation:

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5. State whether the number 91 is prime, composite, or neither.

Zolol [24]

Answer:

91 is a composite number

Step-by-step explanation:

A prime number is the positive number, which has factors 1 and itself.

Example : 1,3,5,7

Clearly 91 is not a prime number, as its factors are:

91 = 1,7,13,91

It has more than 2 factors (1 and itself), hence 91 is a composite number.

Composite number is the number which has factors other than 1 and itself.

7 0

4 years ago

Solve 2x2 − 8x = −7.

leva [86]

$\sf 2x^2 - 8x = - 7 \\ \\ Subtract \ -7 \ from \ both \ sides \ of \ the \ equation. \\ \\ 2x^2 - 8x - (-7 ) = - 7 - (-7) \\ \\ 2x^2 - 8x + 7 = 0 \\ \\ Use \ quadratic \ formula \ a = 2, b = -8, c = 7 \\ \\ x = \dfrac{- b \pm \sqrt{b^2- 4ac} }{2a} \\ \\ \\ x = \dfrac{-(-8) \pm \sqrt{(-8)^2 - 4 (2) (7) } }{2(2)} \\ \\ x = \dfrac{8 \pm \sqrt{8} }{4} \\ \\ x = 2 + \frac{1}{2}\sqrt{2} \ or \ x = 2 + \frac{-1}{2} \sqrt{2}$

Ur answer is the fourth one

7 0

4 years ago

Read 2 more answers

What is the length of the diagonal, ddd, of the rectangular prism shown below?

Yuki888 [10]

Answer:

9.6

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

What is the <br> Formula:<br> Slope:

prisoha [69]

Answer:

Slope = $0$

Formula: $y=\frac{3}{4}$

Step-by-step explanation:

First use the slope equation to find the rise over run:

Slope Equation = $\frac{y_1-y_2}{x_1-x_2}$

Then insert the two points:

$\frac{3/4 - 3/4}{2-5}$

Then complete the equation:

$\frac{0}{-3}$

Now we have an answer for our slope:

Slope = $0$ , because -3 can go into 0 a total of 0 times.

Afterwards we take the Point Slope Formula:

Point Slope Formula = $y=mx+b$

And insert our new slope and one of the points that belongs to this formula:

$y=mx+b\\y=\frac{3}{4} ,x=5,b=?\\\frac{3}{4}=0(5)+b$

Now we calculate for b which is the y-intercept:

$\frac{3}{4} =0(5)+b\\\frac{3}{4} = 0+b\\\frac{3}{4} =b$

Now we know that the y-intercept is $\frac{3}{4}$ .

So we have all the parts of the formula:

Slope = 0

Y-intercept = $\frac{3}{4}$

So now you plug in these numbers into their places in the point slope formula:

$y=mx+b\\y=0x+\frac{3}{4}$

So that's our answer, but you can simplify this equation more by seeing that no matter what the x-value is, when its multiplied by 0 it will always ne 0. So we can take the, 0x, out of the equation since the number will never change.

Which leaves us with:

$y=\frac{3}{4}$

5 0

2 years ago

If two pyramids are similar and the ratio between the lengths of their edges is

SVEN [57.7K]

Answer:

D. 27:1331

Step-by-step explanation:

The volume ratio for the two solids is the side length ratio raised to the third power.

3 to the 3rd power = 27

11 to the 3rd power = 1331

5 0

3 years ago