Solve Y^2 +9y+2=8y+58

Answer: C. 16.4

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-3, 4)

(x₂, y₂) = (7, -9)

Given expression

[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the expression

[tex]Distance =\sqrt{(7+3)^2+(-9-4)^2}[/tex]

Simplify value in the parentheses

[tex]Distance =\sqrt{(10)^2+(-13)^2}[/tex]

Simplify exponents

[tex]Distance =\sqrt{100+169}[/tex]

Simplify by addition

[tex]Distance =\sqrt{269}[/tex]

Convert square root to decimal and round the answer to the nearest tenth

[tex]\boxed{Distance=16.4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

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Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]

Step-by-step explanation:

30000+2000+600+50+1+0.9+0.07

Concept:

First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.

Answer:

500

Step-by-step explanation:

5000 divided by 10

Answer:

Lower bound is 4340.5

Step-by-step explanation:

................

Answer:

adding by 13

Step-by-step explanation:

subtract 54-41

Answer:

5.8°C

Step-by-step explanation:

[tex]6 \times 0.9 = 5.4[/tex]

[tex]Therefore, 0.9 + 5.4[/tex]

[tex] = 5.8[/tex]

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

Answer:

Step-by-step explanation:

The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:

6(0) - 3y + 6 = 0 and

-3y + 6 = 0 and

-3y = -6 so

y = 2

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

Answer:

81.9

Step-by-step explanation:

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234(234)×0.3

234×234×0.3

54,756×0.3

16,426.8

Answer:

C. $140

Step-by-step explanation:

Company C; $60 + ($20×4)

= 140

Answer:

Company C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

X intercept <=> y=0

Hence the x intercept is x=2

Answer:

x = 6 for Side 14 - 2x

x = 9 for Side 2x + 1

x = 11 for Side 3x - 1

Step-by-step explanation:

14 - 2x + 2x + 1 + 3x - 1 = 26

-2x  + 2x + 3x - 1 + 1 + 14 = 26

3x + 14 + 1 - 1 = 26

3x + 14 = 26

    -14      -14

-------------------

3x = 12

/3     /3

------------------

x = 4

Now, plug x = 4 into all the side expressions and find out their lengths.

14 - 2x

= 14 - 2(4)

= 14 - 8

= 6

2x + 1

= 2(4) + 1

= 8 + 1

= 9

3x - 1

= 3(4) - 1

= 12 - 1

= 11

Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.

6 + 9 + 11 = 26

26 = 26 CORRECT

Answer:

the correct answer is 60 :)

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]

Step-by-step explanation:

f + 8 > g this can be written in other ways but this sums it up

Answer:

Area = 6x + 36

Perimeter = 3x + 10

Step-by-step explanation:

Sides of the triangle:  12 ; (x - 7)  & (2x + 5)

Perimeter of the triangle = sum of all the sides

      = 12 + x - 7 + 2x + 5

      = 2x + x + 12 - 7 + 5     {Combine like terms}

      = 3x  + 10

Area of triangle:

Base = 12  & height = h = x +6

[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]

= 6 *(x + 6)       {Use distributive property}

= 6*x + 6*6

= 6x + 36

a liner pair is the pair of adjacent angles formed when two line intersect

Answer:

A.

Step-by-step explanation:

Answer:

24 B

Step-by-step explanation:

12sqr(2)*sqr(2)=24

Because of 45'45'90 triangle rules

Answer:

3.71 = (3.7 × 10)(1 × 10) = 3710.

Step-by-step explanation:

This fraction is alread reduced, We can't reduce it any further). As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 3710 is also equal to 3710 when expressed as a mixed number.

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound