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3 years ago

Will Give Brainliest!!! Answer ASAP

Mathematics

1 answer:

nata0808 [166]3 years ago

4 0

Answer:

I will assume that ABCD is a parallelogram.

1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.

2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.

3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.

4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.

5. Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.

6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.

7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.

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liubo4ka [24]

Answer:

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Step-by-step explanation:

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3 years ago

If in an equation the variables cancel out while solving and u are left with a true statement how many solutions are there and i

Deffense [45]

Answer: infinitely many and none

Step-by-step explanation:

if all variables cancel and you are left with zero, there are infinitely many solutions. if it is false there are no solutions.

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3 years ago

Read 2 more answers

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Leokris [45]

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3 years ago

The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?

daser333 [38]

Answer:

$d=\frac{3}{2}=1.5$

Step-by-step explanation:

We have the function:

$y=a(x-2)(x-1)$

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

$d=\frac{1+2}{2}=3/2=1.5$

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

$y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a$

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

$x=-\frac{b}{2a}$

So, we will substitute -3a for b and a for a. This yields:

$x=-\frac{-3a}{2a}=\frac{3}{2}=1.5$

Confirming our answer.

4 0

3 years ago

Margot is trying to decide between cable and satellite TV. Cable has a package of $49.99 a month for the basic package, plus $9.

VashaNatasha [74]

The cost of cable (c) in terms of months (m) is
c = (49.99 +9.95 +9.95 -10.00)m
c = 59.89m

The cost of satellite TV (s) in terms of months is
s = 125.00 +49.95m

The difference in price is ...
s - c = (125 +49.95m) -(59.89m)
s - c = 125 -9.94m

At 12 months, the difference in price is
s - c = 125 -9.94*12 = 5.72
This number is positive, which means ...
the Cable company will save Margot money over a 12-month period.

At 24 months, the difference in price is
s - c = 125 -9.94*24 = -113.56
This number is negative, which means ...
the Satellite TV company will save Margot money over a 24-month period.

_____
A graph of the costs shows a cross-over at 12.5 months. Until then, the Cable provider is less expensive. Over terms longer than that, the Satellite TV provider is less expensive.

3 0

3 years ago