6 x +4 + 10x - 9 + 8x - 7=

The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is:

\(x^{2} +y^{2} +2gx+2fy+c=0\)

Given circle equation:

\(x^{2} +y^{2} -2x-8=0\)

on comparing

2gx = -2x

g = -2

2fy = 0

f = 0

Center = (2,0)

radius r = \(\sqrt{g^{2}+f^{2}-c }\)

= \(\sqrt{9}\)
r = 3 units.

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

Answer:

$30

Step-by-step explanation:

If it's 25% off, then to find the sale price we just need to subtract 25% of the original price from the original price.

Original price is 40 so we do 40 - (40 * 0.25) = 30

Answer:

m = \(\frac{4}{5}\)

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• if b² - 4ac > 0 then roots are real and irrational

• if b² - 4ac = 0 then the roots are real and equal

• if b² - 4ac < 0 then roots are not real

For

(m + 1)t² + 5 = - 6t ( add 6t to both sides )

(m + 1)t² + 6t + 5 = 0 ← in standard form

with a = m + 1 , b = 6 , c = 5

for the equation to have only one solution then

b² - 4ac = 0

6² - 4 × (m + 1) × 5 = 0

36 - 20(m + 1) = 0 ( subtract 36 from both sides )

- 20(m + 1) = - 36 ( divide both sides by - 20 )

m + 1 = \(\frac{-36}{-20}\) = \(\frac{9}{5}\) ( subtract 1 from both sides )

m = \(\frac{4}{5}\)

Answer:

\(\displaystyle y = \frac{x - 1}{2}\)

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle x - 2y = 1\)

Step 2: Solve for y

Answer:

-6x-10=15

-60-15=x

x=45 ans

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"v" varies directly with "x"}}{v = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} x=32\\ v=20 \end{cases} \\\\\\ 20=k(32)\implies \cfrac{20}{32}=k\implies \cfrac{5}{8}=k\hspace{8em}\boxed{v=\cfrac{5}{8}x} \\\\\\ \textit{when x = 24, what's v?}\qquad v=\cfrac{5}{8}(24)\implies v=15\)

The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

The first step is to determine the dimensions of the quilt.

Dimensions = √35 = 5.92 feet

Now convert the dimensions of the quilt to inches

1 feet = 12 inches

5.92 x 12 = 70.99 inches

Difference in the width of the bed and the quilt = 70.99 - 60 = 10.99

Difference in the length of the bed and the quilt = 80 - 70.99 = 9.01

 Here are the options:

A. The quilt will cover half of the surface of the bed.

O B. The quilt will match up with the length of the bed, but 20 inches will hang over the length. °

C. The quit will be 14.6 inches wider and 15.4 inches shorter than the bed. O D. The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

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Hey there! I'm happy to help!

Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.

Here is what Sandy should have done.

STEP 1: 6·4+2÷2-7

STEP 2: 24+1-7

STEP 3: 25-7

STEP 4: 18

I hope that this helps! Have a wonderful day! :D

Steps to solve:

6 * 4 + 2 / 2 - 7

~Multiply

24 + 2 / 2 - 7

~Divide

24 + 1 - 7

~Add

25 - 7

~Subtract

18

In step one, she added instead of multiplied which caused her to get the wrong answer.

Best of Luck!

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

Answer:

width = 18 cm

Step-by-step explanation:

perimeter of rectangle = 2(length + width)

then:

90 = 2(27+w)

90/2 = 27+w

w = width

45 = 27+w

45 - 27 = w

18 = w

Check:

90 = 2(27+18)

90 =2*45                                       =

Answer:

ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17

Answer:

width = 5 feet

length = 13 feet

Step-by-step explanation:

length of a rectangular vegetable bed is 3 feet more than twice the width

l = 2x + 3

length of the fence around the bed is 36 feet

p = 2(l + x)

36 = 2(l + x)

18 = l + x

Substitute for l

18 = (2x + 3) + x

18 = 3x + 3

15 = 3x

x = 5

l = 2(5) + 3 = 13

Answer:

width= 5

length=13

equation (x is rectangle) = 18=(2x+3)+x

Step-by-step explanation:

Answer:

there are 6 more girls than boys

Step-by-step explanation:

i hope this is right good luck!:)

Answer:

His answer is reasonable.

5,700 x 3 is around 17100

Answer:

yes because 5,692×3 does equal to 17,076.

Step-by-step explanation:

to see if it is correct divide 17,076 with 3 and you would get 5,692

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.

In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:

Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)

Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)

Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8

Total sugar consumed = 22/8 + 1/4

Total sugar consumed = (22 + 2)/8

Total sugar consumed = 24/8

Total sugar consumed = 3 units of sugar.

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Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

So, after 320 minutes, the car will have covered 200 miles.

In both the US customary and British imperial systems of measurement, a mile is a unit of length or distance. It is measured in yards or 5,280 feet. Approximately 1.609 km make up one mile.

A method of measurement known as the imperial system was created in England in the 12th century and afterwards adopted by other nations. It is often referred to as the Imperial Units or the British Imperial System. The system comprises units for weight, such as ounces, pounds, and tons, volume, and length (such as inches, feet, and miles). (such as fluid ounces, pints, quarts, and gallons). Despite the fact that many other nations have switched to the metric system, the imperial system is still in use in some nations, including the United States and the United Kingdom.

The autonomous vehicle covers **0.625 miles per minute**. (50 miles in 80 minutes).

After 320 minutes, we may multiply the rate by the time to get how many miles the car will have travelled:

0.625 miles/minute × 320 minutes = **200 miles**

0.625 miles per minute divided by 320 minutes equals 200 miles.

So, after 320 minutes, the car will have covered **200 miles**.

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Answer:

C. { 3, 5, 6, 8 }

Step-by-step explanation:

The domain is the set of all possible inputs in a function.

The domain of the given function is;

C. { 3, 5, 6, 8 }

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

Answer:

x = 48

Step-by-step explanation:

36/x = x/64

x² = 36 x 64 = 2304

x = √2304 = 48

Answer:

hey

Step-by-step explanation:

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

D

Step-by-step explanation:

So first you simplify

Step 1: (2•3•7x3y6) (2•3xy6)

Step 2: you divide x3 by x1 = x (3-1) = x2

step 3: You cancel out y6 as it appears on both sides of the fraction line.

step 4: cancel out 2 as it appears on both sides.

step 5: cancel out 3 as it appears on both sides.

step 6: final result 7x2

Answer:

The nth term is Tn = 2[T(n- 1) -2]

The next term is 356

Step-by-step explanation:

Given

Terms: 15,26,48,92,180

Solving (a) : The recursive n term

We have:

T1 = 15

T2 = 26 = 13 * 2 = (15 - 2) * 2

T3 = 48 = 24 * 2 = (26 - 2) * 2

T4 = 92 = 46 * 2 = (48 - 2) * 2

T5 = 180 = 90 * 2 = (92 - 2) * 2

So, the nth term can be represented as:

Tn = [T(n-1) - 2] * 2

Tn = 2[T(n-1) - 2]

The next term is the 6th term.

So, substitute 6 for n in the above formula.

T6 = 2 * [T(6 - 1) - 2]

T6 = 2 * [T5 - 2]

Substitute 180 for T5

T6 = 2 * (180 - 2)

T6 = 2 * 178

T6 = 356

Answer:

v = 13.5m/sec

Step-by-step explanation:

v = u + at

u = 3m/s

a = 1.5m/s^2

t = 7 sec

v = 3 + 1.5×7

v = 3 + 10.5

v = 13.5m/s