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3 years ago

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3x + 1 < −2x + 8

1 answer:

Fantom [35]3 years ago

8 0

Hello there!

The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.

3x + 1 < -2x + 8

We wanna start by subtracting 1 on both sides

3x + 1 - 1 < -2x + 8 - 1

3x < -2x + 7

Add 2x on both sides

3x + 2x < -2x + 7 + 2x

5x < 7

x < 7/5

I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!

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inysia [295]

Start off by combining like terms, then get x by itself.
Lemme know if you still need help.

7 0

3 years ago

Proof that :<br><img src="https://tex.z-dn.net/?f=%20%7Bsin%7D%5E%7B2%7D%20%5Ctheta%20%2B%20%20%7Bcos%7D%5E%7B2%7D%20%5C%3A%5Cth

Arisa [49]

Answer:

Solution given:

Right angled triangle ABC is drawn where <C= $\theta$

we know that

$\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}$

$\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC}$

Now

left hand side

$\displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta$

Substituting value

$(\frac{AB}{AC})²+(\frac{BC}{AC})²$

distributing power

$\frac{AB²}{AC²}+\frac{BC²}{AC²}$

Taking L.C.M

$\displaystyle \frac{AB²+BC²}{AC²}$ ....[I]

In ∆ABC By using Pythagoras law we get

$\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}$

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

$\displaystyle \frac{AC²}{AC²}$

=1

Right hand side

<h3><u>proved</u></h3>

8 0

3 years ago

Read 2 more answers

What is the mean proportional between 5 and 6

Misha Larkins [42]

The answer is 5.5 I’m pretty sure

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3 years ago

In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l

rewona [7]

Answer:

c = 730cm

Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

Find attached the diagram.

a = 714 cm

the measure of angle A = 78°

To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

sin78 = opposite/hypotenuse

sin 78 = 714/c

c = 714/sin 78 = 714/0.9781

c= 729.99

c≅ 730 cm ( nearest cm)

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4 years ago

Simplify. (x6y5)(5xy2)(−6x4)

galben [10]

Answer:

b is apparently the right one XD

Step-by-step explanation:You said is was

7 0

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