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2 years ago

Which expression represents the area of the rectangle (2x+7)(4x+5)?

Mathematics

1 answer:

zhenek [66]2 years ago

3 0

So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

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I need help on this please

Dahasolnce [82]

Answer:

$x \geqslant - 0.9$

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2 years ago

Read 2 more answers

Circle Q has a circumference of approximately 50 centimeters.What is the approximate length of the diameter, d? Use 3.14 for . R

frozen [14]

Answer:

15.92

Step-by-step explanation:

50 ÷ 3.14 = 15.92

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2 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Amiraneli [1.4K]

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

6 0

1 year ago

The ratio of blue skittles to red skittles in Tayler's bag is 3 to 4. If there are 20 red

adoni [48]

Answer:

Tayler has 35 SHKITTLES IN ALL

Step-by-step explanation:

Since Tayler has 20 red Skittles, and the ratio of blue skittles to red skittles is 3 to 4, that means that Tayler has 3/4 as many blue skittles as she does red skittles. 3/4 of 20 is 15

20 + 15 = 35

Thus, Tayler has 35 skittles

SHKITTLES lol

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2 years ago

Write an equation of the line that passes through each points (5,6) (3.4)

ioda

Answer:

$y = x + 1$ .

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ , where $x_{0} \ne x_{1}$ , the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}$ .

The line in this question goes through $(5,\, 6)$ and $(3,\, 4)$ . Hence, the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}$ .

If a slanting line with a slope of $m$ and goes through the point $(x_{0},\, y_{0})$ , the equation of this line in the point-slope form would be:

$y - y_{0} = m,\, (x - x_{0})$ .

For the line in this question, the slope is $m = 1$ . Take $(5,\, 6)$ as the chosen point on this line. The point-slope form equation of this line would be:

$y - 6 = (x - 5)$ .

Rewrite to obtain the equation of this line in the slope-intercept form:

$y = x + 1$ .

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2 years ago