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adoni [48]
3 years ago
9

A line passes through (2, 4) and (-2, 2). Find the value of y if (6, y) lies on the line. Not sure how the 3 was brought into th

e equation per the last answer to my question.
Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

Well, that is simple. You first must find the slope of the line from the 2 given points by using the slope formula. Which is y2-y1/x2-x1. So 2-4/-2-2 which equals -2/-4 which is 1/2. So the slope is 1/2. Now we can use the slope intercept form which is y=mx+b to find the slope equation. So we plug in one the points, say (2,4) and get y=1/2x+3. So now we plug in (6,y) Since we know x we can find y. y=1/2(6)+3 which gives us y=6. So y is 6.

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Select the correct answer. Which function is the inverse of f(x) = -x3 − 9? A. B. C. D.
Masja [62]

Answer:

-3 = x

Step-by-step explanation:

0 = -x3-9

9=-x3

3=-x

-3=x

4 0
2 years ago
Read 2 more answers
If you place a 100-foot ladder against the top of a 96-foot building, how many feet will the bottom of the ladder be from the bo
soldier1979 [14.2K]
X^2+y^2=z^2

x^2+96^2=100^2

x=sqrt(100^2-96^2)

x=28 so the distance from the base of the ladder and the base of the ladder is 28ft.

Hope this helps. Any questions please just ask. Thank you.
4 0
3 years ago
Read 2 more answers
A triangle has a perimeter of 126 centimeters. The 2 longer sides are 3 times as long as the shortest side. Find the length of e
Vladimir [108]

The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm

<u>Solution:</u>

Given that triangle has perimeter of 126 cm

Let the length of the shorter side of the triangle be "a"

The 2 longer sides are 3 times as long as the shortest side

So length of 2 longer sides = 3(length of the shorter side)

length of 2 longer sides = 3a

<em><u>The perimeter of triangle is given as:</u></em>

perimeter of triangle = length of the shorter side + length of 2 longer sides

perimeter of triangle = a + 3a + 3a

126 = a + 3a + 3a

7a = 126

a = 18

So length of shorter side = 18 cm

length of 2 longer sides are each = 3a = 3(18) = 54 cm

Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm

4 0
2 years ago
The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?
Nat2105 [25]

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

5 0
3 years ago
Will mark brainliest
VMariaS [17]

Answer:

Interquartile range => 7

Third quartile => 22

Range => 13

First quartile => 15

Step-by-step explanation:

Order your data set, from the least amount to the highest amount:

$12, $14, $15, $15, $15, $15, $16, $22, $24, $25

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

Q1 = the middle value of the lower part of the data set, from the median to your left.

Q3 = the middle value of the upper part of the data set, from the median to your right.

The median lies between the 5th and 6th value that is enclosed in the parenthesis below:

$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25

The median divides the data set into upper and lower part.

Median = \frac{15 + 15}{2} = 15

First quartile: Q1 = $15

Third quartile: Q3 = $22

IQR = $22 - $15 = $7

Range = highest amount - least amount = 25 - 12 = $13

3 0
3 years ago
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