All categories

3 years ago

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

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

You might be interested in

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:

4 0

3 years ago

DO NOT SEND ME PDFS OR LINKS WIL REPORT ANSWER CORRECTLY FOR BRAINLIEST

STatiana [176]

Answer:

7665

Step-by-step explanation:

bfdf

8 0

3 years ago

Read 2 more answers

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

Brainliest would be appreciated

Have a great day!</span>

3 0

2 years ago

Read 2 more answers