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ankoles [38]
4 years ago
13

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Mathematics
1 answer:
Fiesta28 [93]4 years ago
4 0

Answer:

30 units

Step-by-step explanation:

PT=TQ

3x+9=5x-5

3x-5x=-5-9

-2x=-14

x=7

Putting value of x in PT above

PT=3x+9=3x7+9

PT=30 units

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Slope intercept form is y=mx+b
m=slope
b=y intercept

slope is 4
y=4x+b
subsitute if iin (x,y) form
so x=3 and y=-2 is one solution
subsitute
-2=4 times 3+b
-2=12+b
subtract 12 from both sids
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the equation is y=4x-14
8 0
4 years ago
Find the area of each geometric figure or product of the polynomial.
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it’s c
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6 0
3 years ago
The area of a rectangular rug is given by the trinomial r^2-4r-21. What are the possible dimensions of the rug?
maksim [4K]

Answer:

There are two possible values for r (area):  r =-7 or r=3

Step-by-step explanation:

Given the rectangular rug area is:

r^{2} -4r -21  

We have to convert the above equation into factored form.

So two numbers whose product is -21r² and sum is -4r

<=> r^{2} -4r -21  

= r^{2} -7r + 3r -21

= r (r -7) + 3(r -7)

= (r-7)(r+3)

We set  r^{2} -4r -21   = 0

<=> (r-7)(r+3) = 0

<=> (r-7) = 0 or (r+3)  = 0

<=> r =-7 or r=3

So, there are two possible values for r (area):  r =-7 or r=3

5 0
4 years ago
The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find the first term of this progre
artcher [175]

Answer:

  5 or 45

Step-by-step explanation:

If the first term is "a" and the common ratio is "r", then the first three terms are ...

  a, ar, ar²

Their product will be ...

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  ar = ∛3375 = 15

Their sum will be ...

  a + ar + ar² = 65 = 15/r + 15 + 15r

Subtracting 15 and multiplying by r/5, we have the quadratic in r:

  10r = 3 + 3r²

  3r² -10r +3 = 0 . . . . in standard form

  (3r -1)(r -3) = 0 . . . . factored

  r = 1/3 . . or . . 3 . . . . values of r that make the factors zero

The first term is 15/r = 45 or 5

_____

The first three terms could be 5, 15, 45; or they could be 45, 15, 5.

5 0
3 years ago
A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the pr
Lelechka [254]

Answer:

Loss of $1.16 millions.

Step-by-step explanation:

It is given that the profit made by company is $1.38 million

It is $2.54 million higher than the last year.

The last year profit which is represented by (p) can be calculated as:

p = Current year profit - 2.54

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p = -1.16

This mean last year there was a loss of $1.16 millions last year in company.

5 0
3 years ago
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