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3 years ago

Which expressions form an equation with the given expression?

Mathematics

1 answer:

kolezko [41]3 years ago

8 0

Numbers 2, 4 and 5 are the correct answers.
Hope this helps!

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A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng

finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0

3 years ago

Please help I am terrible at algebra

Marina CMI [18]

Answer:

y = (x-0)^2 + (-5) ⇒ y = x^2 - 5

Step-by-step explanation:

The general vertex form of the parabola y = a(x - h)² + k

Where (h,k) is the coordinates of the vertex.

As shown at the graph the vertex of the parabola is the point (0, -5)

So,

y = a(x-0) + (-5)

y = ax^2 - 5

To find substitute with another point from the graph like (1,-4)

So, at x = 1 ⇒ y = -4

-4 = a * 1^2 - 5

a = -4 + 5 = 1

So, the equation of the given parabola is ⇒ y = x^2 - 5

6 0

3 years ago

A school has a goal of getting at least 2000 boxtops. They have 872 so far. They have 8 days left to get it. At least how many d

True [87]

Answer:

School needs to collect at least 144 box tops each day to meet their goal.

Step-by-step explanation:

The total requirement of box tops = 2,000

The number of box tops they have already received = 872

So, the box tops left = Total number required- Number of tops received

=2,000 - 872

= 1,128 box tops are left so far.

Number of days left = 8

So, number of minimum tops needed each day = $\frac{\textrm{Total tops required}}{\textrm{Number of days left}}$

= $\frac{1128}{8} = 141$

Hence, they need to collect at least 144 box tops each day to meet their goal.

5 0

3 years ago

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with on

Natali5045456 [20]

Answer:

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

3 0

3 years ago

Read 2 more answers

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

garri49 [273]

Answer:

y = -1/4x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (-4, -5)

y-intercept (0, -6)

Step 2: Find slope m

Substitute: $m=\frac{-6+5}{0+4}$
Add: $m=\frac{-1}{4}$

Step 3: Write linear function

y = -1/4x - 6

7 0

3 years ago