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Anna007 [38]
3 years ago
9

What is the answer to |x-4|<13

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

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SQUARE ROOT OF 25<br><br>THANKS ​
guapka [62]

Answer:

5

Step-by-step explanation:

The square roots of 25 are √25=5 and −√25=−5 since 52=25 and (−5)2=25 . The principal square root of 25 is √25=5 .

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3 years ago
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Solve 2(1 – x) &gt; 2x<br> this is my question for algebra
Rudik [331]

To solve this, you need to isolate/get the variable "x" by itself in the inequality:

2(1 - x) > 2x     Divide 2 on both sides

\frac{2(1-x)}{2} >\frac{2x}{2}

1 - x > x     Add x on both sides to get "x" on one side of the inequality

1 - x + x > x + x

1 > 2x        Divide 2 on both sides to get "x" by itself

\frac{1}{2} >x  or  x     (x is any number less than 1/2)

[Another way you could've solved it]

2(1 - x) > 2x     Distribute 2 into (1 - x)

(2)1 + (2)(-x) > 2x

2 - 2x > 2x      Add 2x on both sides

2 - 2x + 2x > 2x + 2x

2 > 4x    Divide 4 on both sides to get "x" by itself

\frac{2}{4} >\frac{4x}{4}

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6 0
3 years ago
Someone pls help me thanks
oksano4ka [1.4K]

Answer:

expression: 3(d+35)

simplified expression: 3d + 105

Step-by-step explanation:

The first drone costs d. This means the expression = d

The second drone costs d and an additional $35. Expression = d + 35

The third drone costs 3 times as much as the previous one. Expression = 3(d+35)

To simplify it, you just distribute. Hope this helps :)

7 0
3 years ago
1. Calculate the area of the circle having the following radius (r) or diameter (d) (π= 3.14) (a) Radius (r) = 3 cm (b) Diameter
Marat540 [252]

The area of circle having radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Given the radius and diamtere are (a) Radius (r) = 3 cm (b) Diameter (d) = 5 cm (c) Radius (r) = 8 ft. (d) Diameter (d) = 12 cm (f) Diameter (d) = 20 km (g) Diameter (d) = 15 mm (i) Radius (r) = 16 yd​.

We will calculate the area of circle by using the formula A=πr² or π(d/2)².

(a) Radius (r)=3cm

The area of circle is

Area=π(3)²

Area =9π

Here, π=3.14, we get

Area =9×3.14

Area=28.27cm²

(b) Diameter (d)=5cm

The area of circle is

Area=π(5/2)²

Area =π(2.5)²

Area=6.25π

Here, π=3.14, we get

Area =6.25×3.14

Area=19.63cm²

(c) Radius (r)=8 ft

The area of circle is

Area=π(8)²

Area =64π

Here, π=3.14, we get

Area =64×3.14

Area=201.06ft²

(d) Diameter (d)=12cm

The area of circle is

Area=π(12/2)²

Area =36π

Here, π=3.14, we get

Area =36×3.14

Area=113.1cm²

(e) Diameter (d)=20km

The area of circle is

Area=π(20/2)²

Area =100π

Here, π=3.14, we get

Area =100×3.14

Area=314.16km²

(f) Diameter (d)=15mm

The area of circle is

Area=π(15/2)²

Area =56.25π

Here, π=3.14, we get

Area =56.25×3.14

Area=176.71mm²

(g) Radius (r)=16yd

The area of circle is

Area=π(16)²

Area =256π

Here, π=3.14, we get

Area =256×3.14

Area=804.25yd²

Hence, the area of circle having radius and diameter is  radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Learn more about the area of circle from here brainly.com/question/17096708

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