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3 years ago

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B) Solve the following system of equations using Elimination Method:

1 answer:

faust18 [17]3 years ago

7 0

Answer:

(2y - 1 -3 3x – y 2y = x - 2 answer is -3 or 56.309 or +3/2

Step-by-step explanation:

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Find the value of x when m<2 = x + 64

polet [3.4K]

Answer:

-9

Step-by-step explanation:

The triangle has two sides that are the same, so it is an isosceles triangle. Therefore, the base angles are the same.

Angles of a triangle add up to 180°, so:

70 + (x + 64) + (x + 64) = 180

70 + 2x + 128 = 180

2x = -18

x = -9

5 0

3 years ago

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

<u>Find the length of the segment DC</u>

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

<u>the answer is</u>

$BC=31.2\ units$

8 0

3 years ago

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What is the discriminant of the quadratic equation 3 – 4x = –6x2?

kogti [31]

3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0

(-4)^2-4(6)(3)
16-72
Final Answer: -56

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3 years ago

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Semmy [17]

What is 9 inches? Is 9 inches the diameter? Or the radius? What?

The equation for circumference is pi x diameter.

So assuming the 9 inches is the diameter:

Pi x 9 = 28.2743339

Circumference = 28.274 (3 d.p.)

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3 years ago

Trevor is training for a race he swims 1/2 lap in 4/5 minute at that race how many minutes does it take for Trevor to swim each

Korvikt [17]

8/5 minutes. Is the answer

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3 years ago