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3 years ago

Which of the following equations are linear? (choose all that apply)

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

yes y = 2x + 1

yes 5x = 6 + 3y

yes y/2 = 3 − x

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Find the value of x.

lawyer [7]

Answer:

$\huge\boxed{x=\sqrt{70}}$

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

$\dfrac{AB}{AD}=\dfrac{AC}{AB}$

Substitute:

$AB=x\\AC=7+3=10\\AD=7$

$\dfrac{x}{7}=\dfrac{10}{x}$ <em>cross multiply</em>

$(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}$

4 0

3 years ago

Solve the following 1-step equation for x

shtirl [24]

X/0.5 = 24
X/0.5(0.5) = 24(0.5)
X = 12

5 0

3 years ago

Please help me with this question look at the image. I will mark the brainiest.

Vsevolod [243]

Answer:

5 ft

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

The height is found by solving this equation for h:

2A/(b1 +b2) = h

h = 2(25.5)/(3.2 +7) = 51/10.2 = 5 . . . . fill in the given values

The height of the trapezoid is 5 feet.

7 0

2 years ago

If 18 meters of high-resistance wire with a diameter of 1.2 mm has a resistance of 10 ohms, what is the resistance of 27 m of th

Tatiana [17]

9.6 Have a great day :)<span />

8 0

3 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

3 years ago