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liraira [26]
3 years ago
12

Here are free points! please give some other people points. Have a great day :)

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

Aw you are so kind

Have a good day

ICE Princess25 [194]3 years ago
7 0
Thank you so much have a great day and be safe! :)
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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
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What is the area of the polygon in square units?
Inessa05 [86]
It is 16 square units

3 0
4 years ago
Sandra wants to make gift baskets. She needs 1.3 pounds of flour to make cupcakes and 1.7 pounds of flour to make pies. About ho
Katarina [22]

Answer:

18 pounds of flour

Step-by-step explanation:

Add your wright of flout, 1.3+1.7, getting 3lbs. Then multiply 3 by 6 because thats the number of baskets. Getting 18lbs. of flour

5 0
3 years ago
Two points in the xy plane have cartesian coordinates (1.50, −3.00) m and (−7.50, 7.50) m. (a) determine the distance between th
vova2212 [387]
Distance  = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]

                = sqrt 17,226.56  =  131.25 (answer)
3 0
3 years ago
Plz help ASAP I will mark brainleist
Zigmanuir [339]

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

4 0
3 years ago
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