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Sati [7]
3 years ago
14

Solve the inequality4(x + 3) - 7 > x + 3(x + 1)​

Mathematics
2 answers:
ladessa [460]3 years ago
8 0

Answer:

All real numbers are solutions

Step-by-step explanation:

4(x+3)−7>x+3(x+1)

Step 1: Simplify both sides of the inequality.

4x+5>4x+3

Step 2: Subtract 4x from both sides.

4x+5−4x>4x+3−4x

5>3

Step 3: Subtract 5 from both sides.

5−5>3−5

0>−2

zubka84 [21]3 years ago
7 0

Explanation

Step 1: Simplify both sides of the inequality.

4x+5-4x>4x + 3, - 4x

Step 2: Subtract 4x from both sides.

4x+5-4x>4x+3-4x

5>3

Step 3: Subtract 5 from both sides.

5 - 5 > 3 - 5

0> -2

Answer:

All real numbers are solutions.

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the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

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2 years ago
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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

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2 years ago
One of my cats, Apollo, drives a cat car. He used 6/8 of a tank of gas to visit his friends for the weekend, and another 1 half
Arlecino [84]

Answer:

Total gas used = 3/2 of a tank of gas

Step-by-step explanation:

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