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aalyn [17]
3 years ago
7

If TS is a midsegment of PQR find TS

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

B. 7

Step-by-step explanation:

Recall: according to thee Mid-segment Theorem of a triangle, the Mid-segment of a triangle is half the length of the base of the triangle

Base length of the traingle, RQ = 14 (given)

Mid-segment = TS

Therefore,

TS = ½(RQ)

Plug in the value

TS = ½(14)

TS = 7

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PLEASE I NEED HELP! THANK YOU.
Elden [556K]

First set up a linear equation  and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

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3 years ago
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zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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aleksandrvk [35]
126 because 20 X 6 and 6 x 1
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Choose an online tool or paper to create an icon by transforming the shape according to the rule T(0, 3) ∘ Rℓ(△CDE).
creativ13 [48]

Answer:

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2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS FOR BOTH PART 1 AND 2 ONLY PLEASE!!!
professor190 [17]

1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2

<u>Step-by-step explanation:</u>

f(x) = √x

g(x) = 2√x + 3  

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  • multiplying by 2 is a vertical stretch by factor of 2

2. Answer: Domain: [0, ∞)

                   Range: [3, ∞)

<u>Step-by-step explanation:</u>

g(x) = 2√x + 3  

Domain: The restriction on "x" is that the radical must be greater than or equal to 0.  So, x ≥ 0  Interval Notation: [0, ∞)

Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0.  Add 3 to that and y ≥ 3.  Interval Notation: [3, ∞)

8 0
3 years ago
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