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3 years ago

3x - 4 = 17 solve for x

Mathematics

2 answers:

sashaice [31]3 years ago

7 0

x=7!!!!!!!!!!!!!! !!!!!!!!!!!!!

Mariulka [41]3 years ago

4 0

Answer:

x=7

Step-by-step explanation:

3(7) - 4=17

21-4=17

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Geometry help! Will give brainliest!! The slope of line b is -1/6. What is the slope of the line parallel to line b?

atroni [7]

Answer:

-1/6

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. This means any line which is parallel and does not cross will have the exact same slope of -1/6.

3 0

3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

3 years ago

The perimeter of a rectangle is 40 m. The length is 2 m more than two times the width. Find the length and the width of the rect

RideAnS [48]

Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

5 0

3 years ago

Which of the following represents the value of the missing side?

igomit [66]

Answer:

The value of the missing side is $x=2\ units$

Step-by-step explanation:

In this problem i assume that the length side x is tangent to the circle

the length side x is perpendicular to the radius

Applying the Pythagoras Theorem in the right triangle

we have that

$(1.5+1)^{2}=1.5^{2}+x^{2}$

Solve for x

$(2.5)^{2}=1.5^{2}+x^{2}$

$x^{2}=2.5^{2}-1.5^{2}$

$x^{2}=4$

$x=2\ units$

7 0

3 years ago

Read 2 more answers

|x|+ 3 > 8 <br><br> Yeah kind of an idiot lol

RSB [31]

Answer:

Let's solve your inequality step-by-step.

|x|+3>8

Step 1: Add -3 to both sides.

|x|+3+−3>8+−3

|x|>5

Step 2: Solve Absolute Value.

|x|>5

We know eitherx>5orx<−5

Step-by-step explanation:

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4 0

3 years ago