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Anna007 [38]
3 years ago
13

Which of the following statements is TRUE?

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer:

D is the correct answer. It's true

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What is the equation of a line that passes through the points (-3, 4) and (2,8)?
ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,4) and (2,8) in the above formula, we get;

m=\frac{8-4}{2+3}

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-3,4) and m=\frac{4}{5} in the above formula, we have;

y-4=\frac{4}{5}(x+3)

y-4=\frac{4}{5}x+\frac{12}{5}

     y=\frac{4}{5}x+\frac{12}{5}+4

     y=\frac{4}{5}x+\frac{32}{5}

Thus, the equation of the line is y=\frac{4}{5}x+\frac{32}{5}

6 0
3 years ago
I need help with this problem bk I’m so konfused by it
soldi70 [24.7K]

Do you want 5 and 6 or just 5? 5 is kind of neat.

44.5% = 0.445

4/9 = 0.4444444

You have enough information to put the numbers in order.

0.44 is the smallest number.

0.44444444.... is the next smallest number

0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9

Finally the largest number of all is 0.445 for the same reason given above.

Six

5/12 = 0.416666

0.4

42% = 42/100 = 0.42

0.416

0.4 is the smallest number

0.416 is the next smallest number

0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.

The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.

5 0
3 years ago
Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the g
Stels [109]

Answer:

The equation would be 3(n - 2) ≥ 5n

7 0
3 years ago
39. Find the length of each arc shown in red. Leave your answer in simplified radical form.
andre [41]

Answer:

The length of the arc shown in red is \frac{22}{9}\pi\ in

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=4\ in

substitute

C=2\pi (4)

C=8\pi\ in

step 2

Find the length of the arc in red

Remember that the length of the circumference subtends a central angle of 360 degrees

so

by proportion find the length of the arc by a central angle of 110 degrees

\frac{8\pi}{360}=\frac{x}{110}\\ \\x=8\pi*110/360\\ \\x=\frac{880}{360}\pi\ in

Simplify

\frac{880}{360}\pi=\frac{22}{9}\pi\ in

6 0
3 years ago
Help me please I am lost
goblinko [34]

Answer:

The answer to your question is:

a)   f(a) -2 = a² - 3

b)    f(a - 2) = a² - 4a + 3

c)     f(b + d) = b² + 2bd + d² - 1

Step-by-step explanation:

a. f(a) - 2 = (a)² - 1 - 2

  f(a) -2 = a² - 3

b. f(a - 2) = (a - 2)² - 1

    f(a - 2) = a² - 4a + 4 - 1

    f(a - 2) = a² - 4a + 3

c. f(b + d) = (b + d)² - 1

   f(b + d) = b² + 2bd + d² - 1

7 0
3 years ago
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