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3 years ago

What is the slope of the line?

Mathematics

2 answers:

nexus9112 [7]3 years ago

7 0

Answer:

y = x + 5

1 would be the slope AKA m

Step-by-step explanation:

y = mx + b

mx is change of y to the change in x.

m is the slope

As you can see in the problem above, everytime y moves up 1, x moves to the right 1.

b is the y intercept - where is y when x is at 0?

This will help you find the slope of future problems hopefully. :)

Sergeu [11.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{rise}{run}=slope$

$\frac{1}{1} =1$

therefore the slope is 1

plz mark me brainliest. :)

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Which are linear pairs? Check all that apply.

boyakko [2]

Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

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3 years ago

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A line has a slope of Negative one-half and a y-intercept of –2. A coordinate plane. What is the x-intercept of the line?

dolphi86 [110]

Answer:

it's -4

Step-by-step explanation:

I just took the test and got it right

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4 years ago

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What is 8+(9-5)/2x4?

Amanda [17]

8+(9-5)/2x4 If we are not using variables,
72 -40/8
32/8
4 is your final answer.

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3 years ago

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Enlarge the triangle by a scale factor of 1.5

Mice21 [21]

Answer:the bottom left corner of the triangle should be on the red dot right?

Step-by-step explanation:

sorry if this isn't helpful just trying to help

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3 years ago

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Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0

3 years ago