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disa [49]
3 years ago
15

Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. -3/4 4/3 3/4

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0
If the equation of the line is given in a form Ax + By + C = 0 then, the slope (m) is equal to -A / B. From the given equation of the line, A = 4 and B = 3. The slope of this line is -4/3. The line perpendicular to the given has a slope which is  the negative reciprocal of the slope of the given. Hence, the slope of the perpendicular line is 3/4.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Andrej [43]
1) Jason: Shop A - 11 units; Shop B - 12 units. Sales increase at 17% per week. So, 11 + 12 = 23.
 
f(x) = 23(1.17)ˣ

2) Daniel: Element A temp - 44(1.13)ˣ ; Element B temp - 17(1.13)ˣ. How much temp of Element A be more than the temp of Element B.

f(x) = 44(1.13)ˣ - 17(1.13)ˣ = 27(1.13)ˣ
f(x) = 27(1.13)ˣ

3) Maggie: Tshirt price - $13. Charity donation - 270

f(x) = 13x - 270

4) Mr. Smith: Length of backyard - 30x + 29 ; Length of square patio - 13x + 6
Length not covered by the patio.

f(x) = (30x + 29) - (13x + 6) = 30x - 13x + 29 - 6 = 17x + 23
f(x) = 17x + 23
5 0
3 years ago
Read 2 more answers
6,057 round it to the nearest thousands
iren [92.7K]

Answer: 6,000.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Answer step by step
enot [183]
Consider, please, this solution/explanation:
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:
\left \{ {{x+y=32} \atop {3x+27y=408}} \right. \ =\ \textgreater \  \  \left \{ {{x=19 (cars)} \atop {y=13(buses)}} \right.

Answer: 13 - b., 19 - c.
6 0
3 years ago
Convert Y = -7/2x-11 to Standard Form​
monitta

Answer:

7x + 2y = -22

Step-by-step explanation:

Standard form looks like Ax + By = C.

Start with Y = -7/2x-11.  Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.

Move the (-7/2)x term to the left:

(7/2)x + y = -11

Multiply all terms by 2 to eliminate the fractions:

7x + 2y = -22 (answer)

6 0
3 years ago
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 76.676.6
faltersainse [42]

Answer:

Step-by-step explanation:

Researchers measured the data speeds for a particular smartphone carrier at 50 airports.

The highest speed measured was 76.6 Mbps.

n= 50

X[bar]= 17.95

S= 23.39

a. What is the difference between​ the carrier's highest data speed and the mean of all 50 data​ speeds?

If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps

b. How many standard deviations is that​ [the difference found in part​ (a)]?

To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation

Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations

c. Convert the​ carrier's highest data speed to a z score.

The value is X= 76.6

Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51

d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.

I hope it helps!

3 0
3 years ago
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