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never [62]
3 years ago
9

Four distinct integers a, b, c and d have the property that when added in pairs, the sums 16, 19, 20, 21, 22, and 25 are obtaine

d. What are the four integers in increasing order?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer: The four integers are: 6,8,11 and 14

Step-by-step explanation:

The attachments below contains step-by-step explanations of the guessing and checking approach that would be used to arrive at the answer.

The calculations on the attachments is from left to right.

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Please help. 10 points. Please do not guess. Guesses will be reported. Thanks
Allushta [10]

The intersecting secant-tangent theorem says that

AP^2=PT\cdot TO

where T is the point at which line segment PO touches the circle. Similarly,

BP^2=PT\cdot TO

so we have

AP^2=BP^2\implies AP=BP

OP is of course as long as itself, and AO and BO are radii of the same circle so they have the same lengths.

This means triangles APO and BPO are congruent, which means angles APO and BPO are congruent, so angle APB is bisected by PO.

8 0
3 years ago
Marissa is painting one of her bedroom walls. She marks off 1/4 of the wall. Then she divides the marked section into 3 equal pa
Sergio039 [100]

Answer:

1/12

Step-by-step explanation:

The question can be written as (1/4) / 3. This is equivalent to (1/4)*(1/3), which is 1/12.

4 0
3 years ago
Four ounces of a certain perfume cost 20$. How much would six ounces of perfume cost?
cupoosta [38]

Answer:

30

Step-by-step explanation:

you divide 20 by 4 then multiply that by 6

7 0
3 years ago
Help me with this please
Tems11 [23]

Answer:

q.4 's answer is d. miles

q.5 's answer is 3

q.6 's answer is 6

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4 0
2 years ago
Find(f+g)(x) for the following functions. f(x) = 12x2 + 7x + 2 g(x) = 9x + 7
Nimfa-mama [501]

Answer:

(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add and subtract two function by adding and subtracting their

 like terms

Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then

     (f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x

     (f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2

* Lets solve the problem

∵ f(x) = 12x² + 7x + 2

∵ g(x) = 9x + 7

- To find (f + g)(x) add their like terms

∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)

∵ 7x and 9x are like terms

∵ 2 and 7 are like terms

∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)

∴ (f + g)(x) = 12x² + 16x + 9

* (f + g)(x) = 12x² + 16x + 9

8 0
2 years ago
Read 2 more answers
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