Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5​

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 :)

[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:

where is the diameter?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C. 10.99

Step-by-step explanation:

i took the test

Answer:

C. 10.99

Step-by-step explanation:

usatest prep

Answer:

add a screen shot

Step-by-step explanation:

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:

105 cm²

Step-by-step explanation:

Properties of a quadrilateral circumscribed about a circle

Given:

Therefore, the sum of the other pair of opposites is also 21 cm.

So the perimeter = 21 + 21 = 42 cm

[tex]\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2[/tex]

Looking like trapezoid

area:-

Answer:

2916 square inches

Step-by-step explanation:

Surface area of rectangular prism:

Here, area of the top of the prism is not included.

l = 24 in ; b = 20 in ; h = 16 in

Surface area = lb + 2bh + 2lh

                    = 24 * 20 + 2*20*16 + 2*24 *16

                    = 480 + 640 + 768

                    = 1888 sqaure inches

Surface area of triangular prism:

length = 24 in ; a = b = 16 in  ;  base = 20 in and height = 13 in

[tex]\sf \text{Base area=$2*\dfrac{1}{2}*base *height = base *height$}[/tex]

                = 20 * 13

                  = 260 square inches

Surface area = length*(a +b) + base area

                     = 24*(16+16) + 260

                     = 24 * 32 + 260

                      = 768 + 260

                      = 1028 square inches

Surface area of composite figure = 1888 + 1028

                                                          = 2916 square inches

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:

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:

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:

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:

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:

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: 18.84

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

Answer:

0.8

Step-by-step explanation:

Hope this helps!

Answer:

25 bananas

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

u don't know this silly question

Answer:

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

Step-by-step explanation:

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.

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

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].

Learn more about the parallel line in linear equation here:

https://brainly.com/question/20847660

#SPJ1



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.

To learn more on probability click:

https://brainly.com/question/11234923

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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:

9 inches

Step-by-step explanation:

Convert from feet to inches by multiplying by 12:

3*12 = 36

Multiply by the scale factor of 1/4:

36*1/4 = 9

9 inches

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]

[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]