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leva [86]
3 years ago
7

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6 ?

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

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What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
GenaCL600 [577]

Answer:

Step-by-step explanation:

8 0
2 years ago
To estimate the average annual expenses of students on books and class materials a sample of size 36 is taken. The sample mean i
Elena L [17]

Answer:

C) $826.82 to $873.18.

Step-by-step explanation:

Sample mean (M) = $850

Standard deviation (s) = $54

sample size (n) = 36

Z for 99% confidence interval (Z) = 2.576

The confidence interval is determined by the following relationship:

M \pm Z*\frac{s}{\sqrt{n}}

Applying the given values, the lower (L) and upper (U) values are:

850 \pm 2.576*\frac{54}{\sqrt{36}}\\L=\$826.82\\U=\$873.18

The answer is C) $826.82 to $873.18.

6 0
3 years ago
A ball pit at a play area is filled with red and yellow balls. Of the total number of balls 60 percent are red. If there are 720
ser-zykov [4K]
To solve this we'll put the question in this format: x% of y things = z things

We have the percent so we'll put in 60 for x.
Now the total number of balls will be considered y since we have the number of red balls but not blue ones. so we end up having..

60% of y balls = 720 balls

Of is another word for multiplication, therefore:

60/100*y=720
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So we have 1200 balls
3 0
3 years ago
Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
3 years ago
Read 2 more answers
Permutations and combination math 30 question!
Nimfa-mama [501]

Answer:

The answer is 2,600

Step-by-step explanation:

nCr=n!/r!(n-r)!

26C3=26!/3!(26-3)!

=26!/3!(23!)

= 2600

5 0
4 years ago
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