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3 years ago

SOlve the system of equations using substitution y=2x-10 y=4x-8

1 answer:

3 0

It should be,
4x-8=2x-10 because you substitute that for y.
Now you do,
4x-2x because you do the opposite of the positive 2x as you bring it to the other side.
That is,
2x-8=10 now you bring the 8 to the other side.
2x=10+8 I added it because I do the opposite and it is a negative 8 so I add.
2x+18 now divide
x=9 that's the answer.

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Ronata is putting lace around the rectangular tablecloth with width of 52 and 1/3 inches and length of 72 and 2/3 inches. How mu

rodikova [14]

Answer:

3802 8/9

Step-by-step explanation:

So what you do is you make 52 1/3 and 72 2/3 improper fractions like 157/3 and 218/3. Then you multiply and get 34218/9. Then you simplafiy and get 3802 8/9

3 0

3 years ago

Solve. 3(4x + 2x) = 8

shepuryov [24]

If you would like to solve the equation 3 * (4 * x + 2 * x) = 8, you can do this using the following steps:

3 * (4 * x + 2 * x) = 8
3 * 6 * x = 8
18 * x = 8 /18
x = 8/18
x = 4/9

The correct result would be 4/9.

3 0

4 years ago

Read 2 more answers

PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!

iris [78.8K]

Given:

The figure of a right triangle ABC.

To find:

The trigonometric ratios $\sin B, \tan A, \cos B$ .

Solution:

Using Pythagoras theorem,

$Hypotenuse^2=Perpendicular^2+Base^2$

$AB^2=AC^2+BC^2$

$(10)^2=(6)^2+BC^2$

$100-36=BC^2$

$64=BC^2$

Taking square root on both sides.

$\sqrt{64}=BC$

$8=BC$

So, measure of BC is 8 units.

Now,

$\sin \theta=\dfrac{Opposite}{Hypotenuse}$

$\sin B=\dfrac{AC}{AB}$

$\sin B=\dfrac{6}{10}$

$\sin B=\dfrac{3}{5}$

Similarly,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

$\tan A=\dfrac{AC}{BC}$

$\tan A=\dfrac{6}{8}$

$\tan A=\dfrac{3}{4}$

And,

$\cos \theta=\dfrac{Adjacent}{Hypotenuse}$

$\cos B=\dfrac{BC}{AB}$

$\cos B=\dfrac{8}{10}$

$\cos B=\dfrac{4}{5}$

Therefore, the required trigonometric ration are $\sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}$ .

6 0

3 years ago

Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?

Nikitich [7]

Answer:

Graph will open same way and is narrower.

Step-by-step explanation

If: f(x)= x^4

f(-2x)= (-2x)^4

Negative sign usually flips the graph and make it open to the opposite direction. In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.

The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.

Think if the slope is 4 vs 1/4.

Hope this helps

6 0

3 years ago

A train has one engine and six train cars. Find the total number of ways an engineer can arrange the train. (The engine must be

enot [183]

Answer: 720 ways

Step-by-step explanation:

Given

A train has 1 main engine and remaining 6 train cars

If the engine is always in the front the remaining train cars can be arranged is

$\Rightarrow \text{No. of ways}=6!=720\ \text{ways}$

4 0

3 years ago