A rectangle’s length is seven inches more than its width. If “w” is the width of the rectangle, in inches, what is the length of the rectangle, in inches?

Answers

Answer 1

Answer: so a rectangle's legnth is 7 times more than it's width

this means legnth=7 times width

l=legnth
l=7w
legnth is 7w inches

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How do i solve log6(25)-log6(5)

Answers

There's nothing there to solve. But you can simplify the expression.

-- The difference of two logs is the log of the quotient.

log₆(25) - log₆(5)

= log₆(25/5) = log₆(5) .

That may be all you can do with it.
If they want you to go ahead and actually find the value of log₆(5) ...
I don't remember how to do that. If it was log₁₀(5) or ln(5) ,
those would be easy, because they're right on your calculator.
But the log to the base of (anything else other than 10 or 'e') takes
an additional step, which I don't remember.

Divide 6,723 ÷ 8. what is the remainder?

Answers

3 is the remainder
_______________

An equation is shown below:2(3x − 5) = 1

Which of the following correctly shows the steps to solve this equation?

Step 1: 6x − 10 = 1; Step 2: 6x = 11
Step 1: 6x − 5 = 1; Step 2: 6x = 6
Step 1: 5x − 3 = 1; Step 2: 5x = 4
Step 1: 5x − 7 = 1; Step 2: 5x = 8

Answers

The option that shows the steps to solve the given equation is A) and this can be determined by using the arithmetic operations.

Given :

Linear Equation -- 2(3x − 5) = 1

The following steps can be used in order to evaluate the given linear equation:

Step 1 - The arithmetic operations can be used in order to evaluate the given linear equation.

Step 2 - Write the given linear equation.

2(3x − 5) = 1

Step 3 - Multiply 2 by (3x - 5) in the above equation.

6x - 10 = 1

Step 4 - Add 10 on both sides in the above expression.

6x - 10 + 10 = 1 + 10

6x = 11

Step 5 - Divide both sides by 6 in the above equation.

x = 11/6

From the above steps, it can be concluded that the correct option is A).

For more information, refer to the link given below:

brainly.com/question/25834626

i would have to go with the first one because 2(3x-5)=1 is the same as 6x-10=1
then all you have to do is divide 11 by 6 and the answetr should be c or in this case x=1.83
to check your work do this 6(1.83)-10 and your answer should come to .98
all you have to do is round to 1.0

A system of equations is given below: y = –2x + 1
6x + 2y = 22

Which of the following steps could be used to solve by substitution?

6x + 2(−2x + 1) = 22
−2x + 1 = 6x + 2y
6(−2x + 1) + 2y = 22
6(y = −2x + 1)

Answers

Answer:

The steps that could be used to solve by substitution is:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Substitution method--

The method of substitution states that from a equation the value of one variable is substituted in form of the other variable into the other equation.

From the first equation we have the value of y in terms of x as:

y = -2x + 1

Also, we have equation (2) as:

6x + 2y = 22

Hence, on putting the value of y we have:

6x+(-2x+1)=22

The answer is A

Because this where you gonna start your substitution

Graph the equation. Identify the vertex and the axis of symmetry.y=-3x^2-6

Select one:
a. Vertex: (0, 6)
Axis of symmetry: x = 0

b. Vertex: (6,0)
Axis of symmetry: x = 6

c. Vertex: (0, -6)Axis of symmetry: x = 0
d. Vertex: (-6, 0)
Axis of symmetry: x = -6

Answers

I think B is the answer

Which trinomials are perfect square trinomials?Choose exactly two answers that are correct.

a2 + 4a + 16

a2 + 14a + 49

a2 + 15a + 75

a2 + 26a + 169

Answers

The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.

What are trinomials?

The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.

For all the options, the coefficient of a² = 1.

a² + 4a + 16.

Coefficient of a = 4.

4/2 = 2

2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.

14/2 = 7

7² = 49, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +7)²

Similarly, if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.

26/2 = 13

13² = 169, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +13)²

The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.

To know more about trinomials follow

brainly.com/question/27020215

#SPJ2

You can know a perfect square trinomial:

i) if the coefficient of a² = 1.

ii) If you divide the middle number coefficient by 2 and you square it you get the last term.

Take for example the first option:

For all the options, the coefficient of a² = 1

a² + 4a + 16.

Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²

Similarly if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²

So the only two options are: a² + 14a + 49 and a² + 26a + 169.

Other options do not pass this test.

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