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3 years ago

What are the x-coordinates of the solutions to this system of equations?

1 answer:

4 0

X^2+y^2=36
y=(x-6)
substitute y in first equation
x^2+(x-6)^2=36
x^2+x^2-12x+36=36
simplify and factor
2x(x-6)=0
so x=0, x=6

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Jet001 [13]

3. ΔPQR ≅ ΔSRT

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If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

4. PR ≅ SR

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7 0

4 years ago

∠1 and ∠2 form a linear pair. If m∠1 = 5x + 9 and m∠2 = 3x + 11, find the measures of both angles.

Scrat [10]

Answer:

∠1 =109

∠2= 71

Step-by-step explanation:

if they are a linear pair that means they must both (when added together) equal 180 degrees, so this means we can add them and set them equal to 180!

8x+20=180

8x=160

x=20

then we just input them!

m∠1 = 5(20) + 9 = 109

m∠2 = 3(20) + 11 = 71

8 0

3 years ago

Copy and complete the statement using <, >, or =.

denpristay [2]

SOMEBODY PLEASE ANSWER!

7 0

3 years ago

A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential

alexandr402 [8]

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

$f(t) = a(1 + r)^{\Delta t}$

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time

With the initial information we can find the rate:

$151 = 145(1 + r)^{1998-1990}$

Using logarithm:

$ln(151) = ln(145) + 8[ln(1 + r)]$

$ln(1 + r) = \frac{ln(151) - ln(145)}{8}$

$ln(1 + r) = 5.0683 \cdot 10^{-3}$

Using exponential:

$e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}}$

$r = 5.081 \cdot 10^{-3}$

Now, we can find the estimated population in 2015:

$f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998}$

$f(t) = 165$

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

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3 years ago

Y = 2x – 5 2y – 4x =

nikklg [1K]

Answer:

2y-4x

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers