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cluponka [151]
2 years ago
7

Determine if equation has one solution ,no solution ,or an infinite number of solutions justify the answer

Mathematics
1 answer:
tangare [24]2 years ago
8 0

Answer:

no solution

Step-by-step explanation:

- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4

- 4x - 8 = - 4x - 5 ( add 8 to both sides )

- 4x = - 4x + 3 ( add 4x to both sides )

0 = 3 ← False statement

This indicates the equation has no solution

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The measure of a straight angle (2x+50) (6x+2)
fenix001 [56]

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

7 0
2 years ago
Find the distance between each pair of points in the coordinate plane.
labwork [276]

Answer:

1) 3 units

2)4 units

3) 5 units

4)10 units

Step-by-step explanation:

We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is

★ Distance = √[ (x2 - x1)² + (y2 - y1)²]

<u>1) (0,0) & (0,3)</u>

⇒ Distance = √ [ (3-0)²+(0-0)² ]

⇒ Distance = √ [ 3² ]

⇒ Distance = 3 units .

====================================

<u>2</u><u>) (0,0) & (</u><u>4</u><u>,</u><u>0</u><u>)</u>

⇒ Distance = √ [ (4-0)²+(0-0)² ]

⇒ Distance = √ [ 4² ]

⇒ Distance = 4 units .

====================================

<u>3) (0,0) & (4,3)</u>

⇒ Distance = √ [ (3-0)²+(4-0)² ]

⇒ Distance = √ [ 3²+ 4² ]

⇒ Distance = √ 9 + 16

⇒ Distance = √25

⇒ Distance = 5 units .

====================================

<u>4</u><u>) (0,0) & (</u><u>8</u><u>,</u><u>6</u><u>)</u>

⇒ Distance = √ [ (8-0)²+(6-0)² ]

⇒ Distance = √ [ 8²+ 6² ]

⇒ Distance = √ 64 + 36

⇒ Distance = √100

⇒ Distance = 10 units .

8 0
3 years ago
Make x the subject of the formula.<br> y = √x² +1
GrogVix [38]

Answer: x = \sqrt{y^2 -1}

Step-by-step explanation:

3 0
2 years ago
3x-1/5=x+1/3 pls help me
RoseWind [281]

Answer:

x=4/15

Step-by-step explanation:

first you need to make common denominators for 1/5 and 1/3

the common denominator is 15

5*3=15, 3*5=15. 1*3=3, 1*5=5

new equation:3x-3/15=x+5/15

now subtract x from both sides: 3x-3/15=x+5/15

                                                     -x          -x

                                                     2x-3/15=5/15

now you can add 3/15 to 5/15

2x=8/15

now for the last step, divide by 2 because there are 2 x's

2x/2=x         8/15 /2=4/15

x=4/15

8 0
11 months ago
Read 2 more answers
Write an equivalent fraction for 10/2
Scorpion4ik [409]
10/2 is an improper fraction. So, change it to a mixed number. 10÷2=5

5 is the mixed number and is the equivalent fraction. You can also do 5/1 which is also equivalent. 
7 0
3 years ago
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