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OLga [1]
3 years ago
11

What is the answer to the question

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

5a-11 ≥ 2a-5     (subtract 2a from both sides)

3a-11 ≥ -5     (add 11 to both sides)

3a ≥ 6     (divide by 3 on both sides)

a ≥ 2


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The graph of a line passes through the points (0,-2) and (6,0). what is the equation of the line?
nirvana33 [79]

Answer:

y = 1/3x - 2

Step-by-step explanation:

We are asked to find the equation of a line with two points

Step1: find the slope

m = (y_2 - y_1)/(x_2 - x_1)

( 0 , -2) (6 , 0)

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Insert the values

m = ( 0 - (-2)/ (6 - 0)

m = ( 0 + 2)/(6 - 0)

m = 2/6

m = (2/2)/(6/2)

m = 1/3

Step 2 : substitute m into the equation of line

y = mx + c

y = intercept y

m = slope

x = intercept x

c = intercept

y = 1/3x + c

Step 3: sub any of the two points

Let's pick ( 6 ,0)

x = 6

y = 0

Insert the values into

y = 1/3x + c

0 = 1/3(6) + c

0 = 1*6/3 + c

0 = 6/3 + c

0 = 2 + c

c = 0 - 2

c = -2

Sub c = -2

y = 1/3x - 2

The equation of the line is

y = 1/3x - 2

5 0
3 years ago
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
REY [17]

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

Thus x = 9.93

last answer choice is right.

4 0
3 years ago
A car originally worth $32,000 is now worth only $14,000. By how much did the car depreciate?
yuradex [85]

Answer:

18,000 because 32+14=18

3 0
2 years ago
Read 2 more answers
Solve using square root<br><br> x^2=25
Finger [1]

Answer:x=5 or x=−5

Step-by-step explanation:Step 1: Take square root.

x=±√25

x=5 or x=−5

3 0
3 years ago
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Please help me on number 11
AysviL [449]

Answer:

41.1

Step-by-step explanation:

4 0
3 years ago
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