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ddd [48]
2 years ago
9

The sum of two numbers is -17. Their difference is 41. Find the numbers

Mathematics
1 answer:
Alex787 [66]2 years ago
3 0

Answer:

x = 12

y = -29

Step-by-step explanation:

Our given equations: x + y = -17 and x - y = 41

Solve for x and substitute.

x = -17 - y

(-17 - y) - y = 41

-17 - 2y = 41

2y = -58

y = -29

Solve for x using y

x + (-29) = -17

x = 12

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Find an integer value of b that makes x^2 + bx - 81 factorable​
m_a_m_a [10]

x² + bx - 81

there are 2 formula that fit this equation :

>> x² - a² = (x+a)(x-a)

or

>> x² + 2ax² + a² = (x+a)(x+a)

because the last value of our equation is negative value therefore we have to use the first formula >> x² - a² = (x+a)(x-a)

step:

x² + bx - 81  

x² + bx - 9²

because we have to follow the first formula x² - a² therefore bx = 0

x² + bx - 9²

bx = 0

b = 0

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3 years ago
Rachel is 1.55 m tall. Her friend, Pita, is 132 cm tall. Who is taller, and by how much?
anygoal [31]
Rachel is taller, she is taller by 23 cm
4 0
2 years ago
A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we
Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

\frac{dP}{dt} = 1.5P

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

\frac{dP}{dt} = kP

Hence:

\frac{dP}{dt} = 1.5P

More can be learned about proportions at brainly.com/question/24372153

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8 0
2 years ago
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3 years ago
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with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

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Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
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