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3 years ago

Which two expressions are equivalent

Mathematics

2 answers:

kipiarov [429]3 years ago

6 0

The correct answer is b.

4+2+x and (4+2)+x are equivalent.

Sindrei [870]3 years ago

5 0

B, the parentheses serve no purpose in this equation.

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A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4

Scilla [17]

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

6 0

4 years ago

The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick.

zysi [14]

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

4 0

3 years ago

The results of the car race are shown below.Explain how to determine who drove the fastest.

gizmo_the_mogwai [7]

Answer:

Evans was the fastest

Explanation:

The relation between velocity, time and distance is as follows:

$velocity = \frac{distance}{time}$

1- For Cutwright:

We have the time = 84 minutes and the distance = 35 laps

This means that:

velocity = $\frac{35}{84}$ = 0.61667 lap/minute

2- For Evans:

We have time = 96.6 minutes and distance = 42 laps

This means that:

velocity = $\frac{42}{96.6}$ = 0.43478 lap/minute

3- For Loza:

We have time = 102.6 minutes and distance = 38 laps

This means that:

velocity = $\frac{38}{102.6}$ = 0.37037 lap/minute

Based on the above calculations, we can note than Evans was the fastest

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Please help me solve this geometry problem:)

yarga [219]

Given:

The endpoints of a line segment are (-5,12) and (-5,0).

To find:

The coordinates of a points which divides the line segment in 2:1.

Solution:

Section formula: If a point divides a line segment in m:n.

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the given line segment in 2:1. They, by using section formula, we get

$P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)$

$P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)$

$P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)$

$P=\left(-5,4\right)$

Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).

8 0

3 years ago

What is the solution to the equation 1.25 + r = 4? r = 2.75 r = 3.75 r = 5.25 r = 5.75

eimsori [14]

Answer:

r = 2.75

Step-by-step explanation:

1.25 + r = 4

Subtract 1.25 on both sides.

1.25 + r - 1.25 = 4 - 1.25

r = 4 - 1.25

r = 2.75

The solution to the equation is r = 2.75.

4 0

3 years ago

Read 2 more answers