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2 years ago

Write a simplified expression that represents the perimeter of a triangle who has a length of 7x + 5 and a width of 3x - 8.

Mathematics

1 answer:

tino4ka555 [31]2 years ago

7 0

Answer:

The simplified expression would be 10x - 3

Step-by-step explanation:

add like terms.

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Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

2) Determine the y-intercept (b)

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

5 0

2 years ago

If nico spends $5.76 on tomatoes,how many pounds did he purchase?

tia_tia [17]

The amount of in pound of tomatoes purchased is $\frac{5.76}{p}$

To obtain the number of pounds of tomatoes purchased :

Let the price per pound of tomato = p

The Number of tomatoes purchased equals :

Total amount spent ÷ price per pound

Therefore, the Number of tomatoes purchased will be :

5.76 ÷ p

The Number of pounds of tomatoes purchased = $\frac{5.76}{p}$

Learn more :brainly.com/question/18109354

4 0

2 years ago

Help please, tank u :)

elena-s [515]

Answer:

16 ft

Step-by-step explanation:

Let the width of the rectangle be x ft

Therefore, length = (x + 2) ft

Area of the rectangle = 15 square ft

$x(x + 2) = 15 \\ \\ {x}^{2} + 2x = 15 \\ \\ {x}^{2} + 2x - 15 = 0 \\ \\ {x}^{2} + 5x - 3x - 15 = 0 \\ \\ x(x + 5) - 3(x + 5) = 0 \\ \\ (x + 5)(x - 3) = 0 \\ \\ x + 5 = 0 \: or \: \: x - 3 = 0 \\ \\ x = - 5 \: \: or \: \: x = 3 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 3 \\ \\ \implies \: x + 2 = 3 + 2 = 5 \\ \\ perimeter \: of \: rectngle \\ = 2(5 + 3) \\ = 2 \times 5 \\ = 16 \: ft$

5 0

2 years ago

it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks,

levacccp [35]

3 hours Jeremiah has to spend riding his bike

7 0

2 years ago

At the movie theatre, an adult ticket costs $12 and a child’s ticket costs $6. As a group leader, you need to organize a trip to

alexandr1967 [171]

11 children tickets and 7 adult tickets.

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2 years ago