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scoundrel [369]
3 years ago
6

Find the value of two numbers if their sum is 32 and their difference is 14.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0
23 and 9 are the two numbers

Explanation:

x = one number
y = other number

x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
-----------
2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}

x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}

23 and 9 are the two numbers
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The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = ?
dolphi86 [110]
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
4 0
3 years ago
Given the preimage and image,find the dilation scale factor.​
Oliga [24]

Answer:

The dilation scale factor is \frac{1}{2}.

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) K' = \alpha_{1} \cdot K

2) T' = \alpha_{2} \cdot T

3) P' = \alpha_{3} \cdot P

4) J' = \alpha_{4} \cdot J

5) \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}

If we know that K = (2, 0), K' = (1, 0), T = (3, 0), T' = (1.5,0), P = (1, 5), P' = (0.5, 2.5), J = (0, 3) and J' = (0, 1.5), then the coefficients are, respectively:

\alpha_{1} = \frac{1}{2}, \alpha_{2} = \frac{1}{2}, \alpha_{3} = \frac{1}{2}, \alpha_{4} = \frac{1}{2}

As \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}, we conclude that the dilation scale factor applied in the preimage is equal to \frac{1}{2}.

7 0
2 years ago
Calculate the marked price(original price)if after 20% discount, the price of an article.
Elina [12.6K]

Answer: An article was sold at a 20% discount, at Rs. 400. What was its marked price?

Let M denotes the required marked price of the given article.

Hence from above data we get following relation,

(1 - 20/100)*M = 400

or (4/5)*M = 400

or M = (5/4)*400 = 500 (Rs) [Ans]

Step-by-step explanation:

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3 years ago
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STatiana [176]

Answer:

7665

Step-by-step explanation:

bfdf

8 0
3 years ago
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Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
icang [17]
Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
<span>Measure of angle AED is 28°


I hope I helped


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3 0
2 years ago
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