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3 years ago

Please help, thank you.

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

As the x value goes up by 1, the y value goes up by 3. If the x value skips from 4 to 20, it goes up by 16. This means that the y value has gone up by 16 * 3, or 48. 13 + 48 = A) 61

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Find the GCF of 27x^2 and 45x^3y^2

Inga [223]

Step-by-step explanation:

27x² = 3*3*3*x*x

45x³y² = 3*3*5*x*x*x*y*y

Now

GCF = 3 * 3 *x * x = 9x²

6 0

3 years ago

Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

3 years ago

I'm so confused I need help please

Leviafan [203]

Answer:

CD||GH is "equal" ABD is "Right angle" and ABD||GEF is "Approximately equal"

8 0

3 years ago

identify any outliers in the table. and describe the association between the altitude and the temperature using the table above.

serg [7]

Answer:

-68 <em>could</em> be a potential outlier, but other than that, the data seems pretty steady.

The association between the altitude and the temperature is the higher up in the atmosphere you are, the colder it gets.

6 0

3 years ago

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

hodyreva [135]

Answer: D. y-5= -7(x-8)

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

slope= -7

point: (8,5)

use the slope and point and plug it into point slope form equation.

y-5= -7(x-8),

The Answer would be D. y-5= -7(x-8)

3 0

3 years ago