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Elanso [62]
4 years ago
14

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

Mathematics
2 answers:
77julia77 [94]4 years ago
7 0

Answer:

The slope is -3/2 and contains the point (0, −2). Which is b.

Step-by-step explanation:

(-3,-4) (3, 0)

slope = (0 +4) / (3 + 3) = 4/6 = 2/3

perpendicular so slope = -3/2

line on graph

y = mx + b

0 = 2/3 (3) + b

0 = 2+ b

b = -2

y intercept (0,-2)

svetlana [45]4 years ago
6 0
Y=-(3/5)x-7is the anwser because this is the form y=mx+b where m=5/3 any line perpendicular to this given line will have the slope of -1/m so, in this case slope of perpendicular is: -1/(5/3) = -3/5 we know the y-intercept is -7, point (0, -7) so wave: <span>y = -(3/5)x - 7</span>
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C(n)=−6+5(n−1) find the 8th term in the sequence
AleksAgata [21]

Answer:

Step-by-step explanation:

n = 8

c(n) = -6+5(n - 1)

c(8) = -6+5(8 - 1)

c(8) = -6+5( 7)

c(8) = -6+5(7)

c(8) = -6+35

c(8) =  29

============

Here is the series.

-6

-1

4

9

14

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29

4 0
4 years ago
Let g(x)= -3x and h(x) x^2+3 Find (g°h)(0)
raketka [301]
<h3>Answer is   -9</h3>

=================================

Work Shown:

(g°h)(x) is the same as g(h(x))

So, (g°h)(0) = g(h(0))

Effectively h(x) is the input to g(x). Let's first find h(0)

h(x) = x^2+3

h(0) = 0^2+3

h(0) = 3

So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.

Now let's find g(3)

g(x) = -3x

g(3) = -3*3

g(3) = -9

-------

alternatively, you can plug h(x) algebraically into the g(x) function

g(x) = -3x

g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)

g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3

g( h(x) ) = -3x^2 - 9

Next we can plug in x = 0

g( h(0) )  = -3(0)^2 - 9

g( h(0) ) = -9

we get the same result.

7 0
3 years ago
A rotation ____________ a figure around a fixed point called the center of<br> ________________.
Irina-Kira [14]

Answer:

A rotation ____on the coordinate plane________ a figure around a fixed point called the center of

___rotation_____________.

4 0
3 years ago
What is the remainder when 18,049 is divided by 14
kotykmax [81]

Answer:

3

Step-by-step explanation:

18,049 / 14 = 1289 and 3/14

So the remainder = 3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
Read 2 more answers
If AD=6 and AB=24, find AC
ruslelena [56]
When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)

Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12

By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.

Answer: b=12
6 0
3 years ago
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