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3 years ago

How do you do this?? explain it well please!

Mathematics

2 answers:

Yanka [14]3 years ago

8 0

2x-3+x=12-x+1
2x-3+x-(12-x+1)=0
2x+x-(-1x+13)-3=0
3x-(-1x+13)-3=0
3x+1x-13-3=0
4x-16=0
4x=16
x=16/4
x=4

Dmitriy789 [7]3 years ago

3 0

2x-3+x=12-x+1
to solve an equation like this we have to put all the variables on one side and all the numbers on the other. we do this by subtracting, adding, multiplying, or dividing by the same things on each side of the equality.
lets add 3 to both sides first. you get
2x+x=12-x+1+3
now add x on both sides
2x+x+x=12+1+3
combine the terms
4x=16
divide by 5 on each side
x=4

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What is the area of the composite shape

FrozenT [24]

Answer:

Step-by-step explanation:

The shape can be divided into two parts, let use the division in the question

So we have two rectangles

The area of a rectangle is given by l×b.

Let the big rectangle be 1

And the smaller rectangle be 2

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Length is 16cm, breadth is 6cm

Area=l ×b

Area=16×6

Area=96cm^2

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The length will be 14-6=8cm

And the breadth will be 16-2=14cm

Then,

Area=l ×b

Area=14×8

Area=112cm^2

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3 years ago

Q: Solve by the Extraction of Roots method: -<br><br> -5x²=-50

My name is Ann [436]

Answer:

$x = \sqrt{10}$

Step-by-step explanation:

$- 5 {x}^{2} = - 50 \\ {x}^{2} = \frac{ - 50}{ - 5} \\ {x}^{2} = 10 \\ x = \sqrt{10}$

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2 years ago

Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

Rainbow [258]

Answer:

$\sin L = 0.60$

$tan\ N = 1.33$

$\cos L = 0.80$

$\sin N = 0.80$

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

$MN = 6$

$LN = 10$

First, we need to calculate length LM,

Using Pythagoras theorem:

$LN^2 = MN^2 + LM^2$

$10^2 = 6^2 + LM^2$

$100 = 36 + LM^2$

Collect Like Terms

$LM^2 = 100 - 36$

$LM^2 = 64$

$LM = 8$

Solving (a): $\sin L$

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

Substitute values for MN and LN

$\sin L = \frac{6}{10}$

$\sin L = 0.60$

Solving (b): $tan\ N$

$tan\ N = \frac{Opposite}{Adjacent}$

$tan\ N = \frac{LM}{MN}$

Substitute values for LM and MN

$tan\ N = \frac{8}{6}$

$tan\ N = 1.33$

Solving (c): $\cos L$

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

Substitute values for LN and LM

$\cos L = \frac{8}{10}$

$\cos L = 0.80$

Solving (d): $\sin N$

$\sin N = \frac{Opposite}{Hypotenuse}$

$\sin N = \frac{LM}{LN}$

Substitute values for LM and LN

$\sin N = \frac{8}{10}$

$\sin N = 0.80$

7 0

3 years ago

Can someone help me with this question please.

galina1969 [7]

Answer:

6, 8, and 10.

Step-by-step explanation:

You could work this out with the pythagorean theorem, by proving that 6^2, 36, plus 8^2, 64, equals 100. The fastest way, however, is to use pythagorean triples. These are predetermined sets of numbers that work as side lengths for right triangles. The first two are 3, 4, and 5, which form a right triangle, and 6, 8, and 10, shown here.

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2 years ago

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anastassius [24]

<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

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3 years ago