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Fynjy0 [20]
2 years ago
8

Find the Value of PT. PT=4x-6 and TQ=3x+4

Mathematics
1 answer:
barxatty [35]2 years ago
4 0
We can find the value of PT from given information 
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
now put the value of x into PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
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6 0
3 years ago
(c + b + a) + (-2a - 3b + c)
inna [77]

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▹ Answer

<em>2c - 2b - a</em>

▹ Step-by-Step Explanation

(c + b + a) + (-2a - 3b + c)

<u>Remove the parentheses</u>

c + b + a + (-2a - 3b + c)

<u>Collect like terms</u>

2c + b + a - 2a - 3b

<u>Final Answer</u>

2c - 2b - a

Hope this helps!

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7 0
3 years ago
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Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

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2 years ago
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get a
SIZIF [17.4K]

THe closest answer i got was 18122

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3 years ago
If f(x)=2xsquared+3x-2/x+2 is continuous at x=-2, then f (-2)=
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6 0
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