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2 years ago

Solve for X. Show your work 2(3x - 5) = 4x + 5

Mathematics

2 answers:

scoray [572]2 years ago

7 0

2(3x - 5) = 4x + 5

6x - 10 = 4x + 5

6x - 4x = 5 + 10

2x = 15 / : 2

x = 7,5 ← the end

Viefleur [7K]2 years ago

4 0

Answer:

$x = \frac{15}{2}$

Step-by-step explanation:

$2(3x - 5) = 4x + 5$

$6x - 10 = 4x + 5$

$6x - 10 - 4x = 5$

$6x - 4x = 5 + 10$

$2x = 5 + 10$

$2x = 15$

$x = \frac{15}{2}$

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Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

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5 0

1 year ago

What type of triangle is shown below check all that apply

sineoko [7]

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A golfer's bag contains 24 golf balls, 18 of which are ProFlight brand and the other 6 are DistMax brand. Find the probability t

eduard

Answer:

1. Assuming with replacement, the probability is 7.91%; or

2. Assuming without replacement, the probability is 8.64%

Step-by-step explanation:

Total number of golf balls = 24

Let Pr denotes probability, P denotes ProFlights, D denotes DistMax.

The probability of selecting 5 balls can be with or without replacement. Since the question is silent on this, the answers to the methods are provided as follows:

1. Assuming with replacement

Pr(4 P and 1 D) = (18/24) × (18/24) × (18/24) × (18/24) × (6/24)

= 0.75 × 0.75 × 0.75 × 0.75 × 0.25

= 0.0791 = 7.91%

2. Assuming without replacement

Here, we assume that 4 ProFlights are selected first before 1 DistMax is selected, and the probability is as follows:

Pr(4 P and 1 D) = (18/24) × (17/23) × (16/22) × (15/21) × (6/20)

= 0.7500 × 0.7391 × 0.7273 × 0.7143 × 0.3000

= 0.0864 = 8.64%

Therefore, the probability that he reaches in his bag and randomly selects 5 golf balls and 4 of them are ProFlights and the other 1 is DistMax is 7.91% assuming with replacement or 8.64% assuming without replacement.

8 0

3 years ago

What equation is equivalent to 3(2x-5) = 7(x+2)

Degger [83]

6x-15=7x+14, distribute

8 0

3 years ago

COMPLETE THE SEQUENCES.

BartSMP [9]

Answer:

0,16,32,48,64,80,96,112

2,9,11,18,20,27,29,36,38

Step-by-step explanation:

1.Counting by 16

2. Counting by 7 and 2

5 0

2 years ago