solve using the square root method

The line which is parallel to the line 2x + 5y =8 is  [tex]y= -\frac{2}{5} x+4[/tex]  .

The correct option is (B) [tex]y= -\frac{2}{5} x+4[/tex]

If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.

As we know the condition for two parallel line given by the equation

[tex]a_1 x+b_1y+c_1=0\\a_2x+b_2y+c_2= 0[/tex]

is:

[tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex]

We have the given equation as 2x + 5y =8

the equation which is parallel to 2x + 5y= 8 be

B)  [tex]y= -\frac{2}{5} x+4[/tex]

5y = -2x +20

2x+5y=20

So, it satisfies the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex]

Rest of the equation aren't  satisfying  the condition   [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex].

Hence the line parallel to 2x+ 5y =8 is  [tex]y= -\frac{2}{5} x+4[/tex].

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Answer:

Si se multiplica un numero por uno, obtendras el numero original, por ejemplo 54x1 = 54, y 2x1= 2.

Step-by-step explanation:

The probability that Ned will choose 2 red shirts randomly from the box is 1/35.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of choosing 2 red shirts randomly from the box can be calculated using the formula for probability of independent events:

P(choosing 2 red shirts) = P(choosing 1st red shirt) × P(choosing 2nd red shirt after 1st red shirt has been removed)

The probability of choosing the first red shirt is 3/15 (since there are a total of 15 shirts in the box, of which 3 are red).

After one red shirt is removed, there will be 2 red shirts and 14 shirts remaining in the box.

Therefore, the probability of choosing the second red shirt is 2/14.

P(choosing 2 red shirts) = (3/15) * (2/14) = 1/35

Therefore, the probability that Ned will choose 2 red shirts randomly from the box is 1/35.

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Answer:

x = 5

Step-by-step explanation:

Well all you have to do is use this formula

75 + 36x -3 = 180

How did I figure that out?? Well I know that the angle next to 75 is the same as 36x-3 becuase that are alternate interior angles and 75 and 36x-3 would be a linear pair meaning that the product of the them would be 180, Thus making the formula

Now all you have to do is combine like terms:

75 -3 = 72

72 + 36x = 180

subtract 72 from both sides

72 -72 = 0

180- 72 = 108

36x = 108

divide both sides by 36

X= 5

Answer: 18.84

Step-by-step explanation: Circumference is calculated as 2 × 3.14 × radius

Hey there!

3/4 + 1/12 + 2/3

= 5/6 + 2/3

= 5/6 + 4/6

= 5 + 4 / 6

= 9 / 6

= 9 ÷ 3 / 6 ÷ 3

= 3/2
≈ 1.5

1.5 - 1 = 0.5

Therefore, your answer is: 0.5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

10x20+10x6=260

Step-by-step explanation:

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle

= l × w

= 20 × 10

= 200 cm²

Area of the triangle

= ½bh

= ½ × 20 × 6

= ½ × 120

= 60 cm²

Area of the total figure

= Area of the rectangle + Area of the triangle

= 200 cm² + 60 cm²

= 260 cm²

________

Hope it helps ⚜

Answer:

9   23   23

Step-by-step explanation:

Two sides are equal    and are  each   2x + 5    ( x = third side)

add the three sides to get 55 inches

2x + 5     +     2x+5     +  x   = 55

5x = 45

x = 9                so the sides are  9   and 23   and 23

Answer:

y - 3 = 2/3(x - 5)

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.

Makes it a lot cleaner and easier to work with.

Hope this helps you :)

Answer:

add a screen shot

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Hope this helps!

Answer:

where is the diameter?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Segment AD is 4 units long, while segment BC is 5 units long. If this figure was a parallelogram, these two segments would be equal to each other.

Step-by-step explanation:

Answer:

9 x 6=  9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]

[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]

Answer:

13

Step-by-step explanation:

2 + 4 + 6 + 8 + ...... + 26

n = 13

Sum of first 'n' even numbers = n( n +1)

                                                 = 13 * 14

                                                  = 182

1 + 3 + 5 + 7 + .....+25

n = 13

Sum of first 'n' odd numbers = n²

                                               = 13 * 13

                                               = 169

2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169

                                                                            = 13

Answer:

330.00

Step-by-step explanation:

i think thats the answer someone would have to double check but this is what i did the get that

How much overtime pay do you get for working 40 hours if you get the following pay scale:

8.25 for all hours up to 40

110 for all hours in excess of 40

Calculate Total Pay

Total Wages = Regular Rate x 40 Hours + Overtime Rate x (Hours - 40)

Total Wages = 8.25 x 40 Hours + 110 x (40 - 40) Hours

Total Wages = 8.25 x 40 Hours + 110 x (0) Hours

Total Wages = 330 + 0

Total Wages = 330.00

Answer:

-9/25, -0.bar 3, √24, 4.92

Answer:

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Step-by-step explanation:

We first have to expand -0.3, -9/25, and sqrt(24). Then we determine which is least and which is greater.

-0.3 = -0.3333...
-9/25 = -0.36

[tex]\sqrt{24}[/tex] ≈ 4.8989799486

4.92

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Answer:

C. 10.99

Step-by-step explanation:

i took the test

Answer:

C. 10.99

Step-by-step explanation:

usatest prep

Answer:

x = 0.5

Step-by-step explanation:

3.5/x = 7/4

3.5/x * 1/3.5 = 7/4 * 1/3.5

x = 7/14

x = 1/2

x = 0.5

Answer:

x = 19.9

Step-by-step explanation:

These kinds of problems have a specific formula.

Formula: outside (whole) = outside (whole)

We could substitute our variables into this.

For the first line, our outside segment is b and the whole thing is a + b

For the second line, our outside segment is x, and the whole thing is x.

[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]

The [tex]\sqrt{396}[/tex] = 19.8997487421

Rounding to the nearest tenth, your answer is 19.9

Answer:

Step-by-step explanation:

u don't know this silly question

Answer:

7

Step-by-step explanation:

15+2=17

20-17=3

So, these three people definitely like lemonade

11-3=8

So, eight people like both coffee and lemonade

15-8=7

Ans: 7 people like coffee but not lemonade

Answer:

4

Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.

Answer: 4 toys

Step-by-step explanation:

     We will multiply 3 by 30 for how many toys he can currently put into boxes.

3 * 30 = 90

     Now we will subtract this from the total number of toys for our answer.

94 - 90 = 4

          There are 4 toys left.

[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]

[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]

[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]

Answer:

Step-by-step explanation:

[tex]\sf Sin \ F = \dfrac{Opposite \ of \ angle \ F}{hypotenuse}[/tex]

       [tex]= \dfrac{9}{18}\\\\= 0.5[/tex]

    [tex]F = Sin^{-1} \ (0.5)\\[/tex]

        = 30°

Answer:

See below :)

Step-by-step explanation:

If you want a missing angle or side in one pair, and you have at least one side and angle pair, use the sine rule.

If you want a remaining side, and you have the other two sides and the angle opposite the unknown side, use the cosine rule.

If you want an angle, and you have all three sides, use the cosine rule rearranged for angles.

I attached a picture to help explain better :)

Answer: 12-233 24353252345

Step-by-step explanation:

Ayana's favorite brownie recipe calls for

1

2

of a cup of flour for every

1

3

of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?

Answer:

25 bananas

Step-by-step explanation:

You halved the strawberry number (from 40 to 20) ....half the banana number = 25