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2 years ago

Write the equation of the line that passes through the given points. (0, - 4) and (6,3)

Mathematics

1 answer:

Alenkinab [10]2 years ago

8 0

Answer:

y= (7/6) x + (-14/3)

Step-by-step explanation:

m= (3-(-4))/6-0 =7/6

y = 7/6 x + b

when y=0, x= -4,

0 = 7/6 (-4) + b,

b= -28/6 = -14/3

the equation is : y= (7/6) x . + (-14/3)

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What is the range of f(x) = – 4?

Andre45 [30]

The answer is -4. The range is the y-value and when you say f(x) that is the same thing as y, so if f(x) = -4 that means y = -4 which means the range is -4.

5 0

3 years ago

Read 2 more answers

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my wo

masha68 [24]

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

8 0

2 years ago

Tonya is making a scale model of a monument that is 160 feet tall. If she uses a scale of 4 in. = 5 ft., how tall should she mak

olasank [31]

Answer:

It should be 128 inches or 10.67 feet tall

Step-by-step explanation:

Real size of the monument = 160 feet tall

Scale used by Tonya = 4 inches equal to 5 feet

Scale model of the monument = Real size of the monument / Scale used

Proportion between real monument and scale model = 160 / 5 = 32

It means that the proportion between the real monument and the scale model is 32

Scale model height = Proportion * scale used

Scale model height = 32 * 4

Scale model height = 128 inches

Scale model height = 128/12 = 10.67 feet (12 inches = 1 feet)

4 0

3 years ago

1. Consider the data set 1,2,3,4,5,6,7,8,9.

ivanzaharov [21]

Answer: a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

Step-by-step explanation:

Since we have given that

1,2,3,4,5,6,7,8,9

Here, n = 9 which is odd

So, Mean would be

$\dfrac{1+2+3+4+5+6+7+8+9}{9}=\dfrac{45}{9}=5$

Median = $(\dfrac{n+1}{2})^{th}=\dfrac{9+1}{2}=5^{th}=5$

If 9 is replaced by 99,

1,2,3,4,5,6,7,8,99

So, mean would be

$\dfrac{1+2+3+4+5+6+7+8+99}{9}=\dfrac{135}{9}=15$

Median would be same as before i.e. 5

The mean is neither central nor typical for the data due to outlier i.e. 99

Hence, a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

5 0

2 years ago

a manufacturer is designing a flashlight for the flashlight to admit a focused beam the bull needs to be on the central axis of

Helen [10]

Answer:

y= 1/12(x-0)^2+0

this answer works as an upward parabola

Step-by-step explanation:

The formula for a veritcal parabola is y=1/4p(x-h)^2+k
(h,k)= coordinates of the vertex of the parabola
p= absolute value of the distance from the vertex to the focus/directrix
In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
Now, you know the values of the variables. Fill in the values
FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
(x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
once all the variables are given values (except x and y) you have made your equation!
The answer is y=1/12(x-0)^2+0

MARK BRAINLIEST! this took forever, and I know this is the right answer since I got a perfect grade when I turned mine in.

8 0

2 years ago