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3 years ago

A parallelogram is ______ a rectangle Always Sometimes Never Inconclusive

1 answer:

8 0

"Rectangle" is a special case of "parallelogram," where all the vertices of the "parallelogram" are right angles. A parallelogram does NOT have to be a rectangle; the vertical sides could be slanted to one side or the other.

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What two numbers product is 72 and sum is 17

iVinArrow [24]

That would be 8 and 9.

9*8=72
While 9+8=17

I hope this helps! (:

8 0

3 years ago

Read 2 more answers

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.

zmey [24]

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

8 0

3 years ago

The radius of a circle is 10 inches. What is the angle measure of an arc bounding a sector with area 15 square inches?

vova2212 [387]

Answer:

times it by pi

Step-by-step explanation:

4 0

3 years ago

Nina's best friend's name starts with a letter that includes 2 parallel lines. Which letter begins her friend's name? A:A B:W C:

valina [46]

The answer is "N". Even though "W" has parallel lines, "N" only has 2.
Hope it helps!
-Lacy

7 0

3 years ago