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inna [77]
2 years ago
13

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,

then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Mathematics
1 answer:
Ierofanga [76]2 years ago
4 0

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

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In one city, there are four straight streets that form a square block. The length of each side of the block is 154 m. Find the p
Hunter-Best [27]

Answer:

Step-by-step explanation:

i) the length of each side of the block is 154m.

ii) the block is a square block

iii) so the perimeter of the square block will be = 4 × length of one side.

iv) Therefore the perimeter of the square block is = 4 × 154 m = 616 m.

6 0
3 years ago
PLEASE HELP!! A circle is divided into three central angles that have measures in the ratio 2:13:15. find the measure of the lar
yarga [219]

Answer:

First angle = 24'

Second angle = 156'

Third angle = 180'

Step-by-step explanation:

Given:

Ratio of circles angle = 2:13:15

Find:

All three angle

Computation:

Sum of all angle from center = 360'

So,

First angle = 360[2/(2+13+15)]

First angle = 360[2/(30)]

First angle = 24'

Second angle = 360[13/(2+13+15)]

Second angle = 360[13/(30)]

Second angle = 156'

Third angle = 360[15/(2+13+15)]

Third angle = 360[15/(30)]

Third angle = 180'

7 0
3 years ago
CAN YOU HELP ME,TYvery much
I am Lyosha [343]

Answer:

C

Step-by-step explanation:

(x-3)+7

6 0
3 years ago
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How should Brandon fix his line plot?
My name is Ann [436]

Answer:

That is correct

Step-by-step explanation:

You did it right

4 0
4 years ago
Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)
riadik2000 [5.3K]

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

6 0
3 years ago
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