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3 years ago

Please please helpppp.

Mathematics

1 answer:

padilas [110]3 years ago

7 0

There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

$x-2y=2\\x-2y+2y=2+2y\\x=2+2y$

Great, now we can use the substitution method to find the value of y using the first equation:

$2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1$

Now we know that y=1 we can solve the first equation we made:

$x=2+2y\\x=2+2(1)\\x=4$

And the answer is $x=4 , y= 1\\(4,1)$

Double check:

$2x+3y=11\\2(4)+3(1)=11\\8+3=11\\11=11\\\\x-2y=2\\(4)-2(1)=2\\2=2$

And that's our final answer! (4,1)

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If D varies directly with t and D is 105 when t is 3 find D when t is 8

gladu [14]

If D varies directly with t and D is 105 when t is 3 then value of D when t is 8 is equal to 280

<u>Solution:</u>

In this sum we have been given that there is a direct relationship between d and t.

If d is 105 when t is 3 so now, we need to find d when t is 8.

To do this we can simply use the unitary method. The definition of unitary method is, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, according to the definition we need to find the value of d when t is 1.

This can be done as follows:

$D=\frac{105}{3}=35$

Therefore, the value of d when t = 1 is 35.

Now, if the value of t=8 then d becomes:

$D=35 \times 8=280$

Hence, when t=8 the value of d is 280.

3 0

3 years ago

Multiply the binomials (2x+1)(3x+2)

Paladinen [302]

The Answer is (6x^2+7x+2)

Use the FOIL method

4 0

3 years ago

Please help! Thank you!

zysi [14]

Your factors are (x+7)(x-5)(x+3)

multiply the first 2 to get (x^2 + 2x - 35)(x+3)

Now multiply in the 3rd one
x^3 + 2x^2 - 35x + 3x^2 + 6x - 105 now combine like terms
x^3 + 5x^2 -29x - 105 or A

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3 years ago

Understanding tens and ones

Semenov [28]

The number 15 has 2 place values.

The value in the tens place is 1.
The value in the ones place is 5.

1 tens + 5 ones = 15

If you need help comment below and ill try my best to help you out!

4 0

3 years ago

Read 2 more answers

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .