THE QUESTION IS IN THE PICTURE

In the algebraic expression v+8 the v is considered the what

chubhunter [2.5K]

Answer:

the variable

Step-by-step explanation:

5 0

3 years ago

How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 and -7, in this case we only get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

4 years ago

Please tell me the function( will mark as brainiest) thanks

Alecsey [184]

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: $m = \frac{y2-y1}{x2-x1}$

Plug in the 2 points: $m = \frac{16-8}{1-0}$

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

24 = 8(2)+b
24 = 16 + b
b = 8

We have now found the equation of the linear function: y = 8x+8

6 0

3 years ago

If m angle ECD is six less than five times m angle BCE, and mangle BCD = 162º. find each

Usimov [2.4K]

Answer:

see explanation

Step-by-step explanation:

let ∠BCE = x then ∠ECD = 5x - 6 and

∠BCE + ∠ECD = ∠BCD, substitute values

x + 5x - 6 = 162, that is

6x - 6 = 162 ( add 6 to both sides )

6x = 168 ( divide both sides by 6 )

x = 28

Hence

∠BCE = x = 28°

∠ECD = 5x - 6 = (5 × 28) - 6 = 140 - 6 = 134°

5 0

4 years ago

Read 2 more answers

Work out m and c for the line: y = 3 − x

motikmotik

Answer:

3x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers