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3 years ago

Graph the line that passes through (5, 5), and is perpendicular to a line whose slope is –2.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(5) + b

5 = 5/2 + b

5/2 = b

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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The

guajiro [1.7K]

The given function is,

$y=-5\cos (\frac{\pi}{2}(x-3))+6$

The graph can be drawn as,

The period will be distance between two consequetive maximas,

$\text{Period}=1-(-3)=4$

Thus, period is correct.

The amplitude can be determined as,

$\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}$

Thus, amplitue is incorrect.

The range is,

$y\in\lbrack1,11\rbrack$

Thus, the range is correct.

The midline is,

$\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}$

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0

1 year ago

Find the value of x so the figures have the same area

polet [3.4K]

Answer:

B) 4.5

Step-by-step explanation:

The area of the first figure is 10x

The area of the second figure is 6(x+3)=6x+18

To solve, find the x that makes 10x=6x+18

1) 10x=6x+18

2) 4x=18

3) x=4.5

To check work)

1) 10(4.5)=6(4.5)+18

2) 45=27+18

3) 45=45

4 0

3 years ago

Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?

MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0

3 years ago

Read 2 more answers

Find the distance between the points with coordinates (-26,0) and (95, 0).

mote1985 [20]

Answer:

Step-by-step explanation:

Distance between two points is the slope .

Slope =change in y/change in x

Given (-26,0) and (95,0)

x1 = -26

y1 = 0

x2 = 95

y2 = 0

Slope = y2 - y1 / x2 - x1

0-0/95-(-26)

0-0/95+26

0/121

4 0

4 years ago

In a “Fibonacci” sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number

Fed [463]

Answer:

8th term=107

Step-by-step explanation:

Here the sequence is following the 'fibonacci's sequence of numbers.....

i.e,Tn=T(n-1) +T(n-2), where n>2 but this sequence is not fibonnaci's number , it's not starting with 0, 1,1,2........

so you cannot apply formula to calculate,you have to find 8th term by simple calculation.....

Like here 3rd term is 9 and 1st term is 2

now 3rd term = 2nd term+1st term (sum of previous two terms)

i.e, 9= 2nd term +2

i.e, 2nd term =7

now, 4th term = 3rd +2nd

= 9+7=16

again, 5th term = 4th +3rd

=16+9=25

again,6th term =5th+4th

=25+16=41

again,7th term=6th+5th

=41+25=66

again,8th term=7th+6th

=66+41=107

6 0

3 years ago