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Mazyrski [523]
2 years ago
12

-7r^2= -329 square root property​

Mathematics
2 answers:
Volgvan2 years ago
8 0

Answer:

This is what I got.

Step-by-step explanation:

Genrish500 [490]2 years ago
5 0

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
I need help please.
GuDViN [60]

Answer:

The factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

Step-by-step explanation:

The given expression is:

2q²-5pq-2q+5p

Make a pair of first two terms and last two terms:

(2q²-5pq) - (2q-5p)

Now factor out the common factor from each group.

Note that there is no common factor in second group. So we will take 1 as a common factor.

q(2q-5p) -1(2q-5p)

Now factor the polynomial by factoring out the G.C.F, 2q-5p

(2q-5p) (q-1)

Thus the factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

4 0
3 years ago
Chris earns a fixed amount of money every month. At the end of 2 years, chris had earned $86,688. He earned $ each year. He earn
dmitriy555 [2]

Answer:

Chris earned $ 43,344 each year

Monthly Chris earns $ 3,612

Step-by-step explanation:

If you earn a fixed amount of money each month, for 2 years and one year you have 12 months, then 2 years equals 24 months.

To know how much you earn each month we divide the total amount earned in the two years between 24 months

I = $ 86,688 / 24

I = $ 3,612

Monthly Chris earns $ 3,612


To calculate what he earned each year we divided $ 86,688 / 2

I = $ 86,688 / 2

I = $ 43,344

Chris earned $ 43,344 each year

6 0
2 years ago
Please answer ASAP. You begin with 1/2 scoop of ice cream. Since you're hungry, you ask the vendor for 2/7 more scoops of ice cr
katen-ka-za [31]

Answer:

9/56

Step-by-step explanation:

\frac{1}{2}  +  \frac{2 }{7}  -  \frac{5}{8 }  =  \frac{9}{56}

6 0
3 years ago
Read 2 more answers
A 24-ounce can of tomato sauce costs $3.60. What is the cost per ounces?
cluponka [151]
.15 cents. You do the money divided by the ounces or weight.
6 0
2 years ago
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