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3 years ago

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there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, an

d Africa has seven more than Europe. How many countries are in each continent? write an equation and solve it to answer the question

1 answer:

lana66690 [7]3 years ago

8 0

E = 2N

A = E + 7 = 2n + 7

n + 2n + 2n +7 = 122

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A part of linear function g is graphed on the grid.

shutvik [7]

By looking at the graph, we can see that:

Domain: -7 ≤ x ≤ 6
Range: -4 ≤ y ≤ 5.

<h3>How to find the domain and range of a function?</h3>

For a function:

y = f(x)

We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.

Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:

-7 ≤ x ≤ 6

The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.

Then the correct option is the first one.

If you want to learn more about domain and range, you can read:

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2 years ago

Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

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3 years ago

olivia goes to egypt and saw a model of a pyramid. She enlarged it using a scale factor of 1.2. What will be the perimeter and a

DIA [1.3K]

Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.

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3 years ago

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adell [148]

Answer:

A and B is correct

Step-by-step explanation:

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3 years ago

Read 2 more answers

Help me please. How to prove this ?

podryga [215]

Answer:

First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...

$\frac{tan~x+1}{tan~x-1}$

Include 45 as one of the parameters and correlate with <em>tan</em>.

$\frac{tan~x+tan~45}{tan~x-tan~45}$

Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, <em>tan x + tan 45.</em>

Lastly, simplify, and you have the answer as <em>tan(45 + x)</em>

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3 years ago