What equation results from completing the square and then factoring?

x^2 + 4x = 5

A. (x + 2)^2 = 3

B. (x + 2)^2 = 7

C. (x + 2)^2 = 1

D. (x + 2)^2 = 9

Answer:

9

Step-by-step explanation:

the equation for the line should be:

y=9x-10

The slope of the line that passes through the point (−10,9) and (10,18) is undefined.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We need to find the slope of the line that passes through the point (−10,9) and (10,18)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (18 - 9) / ( -10 + 10)

m = 9/0

So, the slope is undefined.

Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.

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The surface area of the larger solid is approximately 971.13 m².

A scale factor is the ratio of the corresponding sides of two similar objects.

Let's find the scale factor as follows:

z = scale factor

x = the volume of the larger solid

y = the volume of the smaller solid

Therefore,

z³ = x / y

z³ = 1408 / 594

z = ∛1408 / 594

z = 11.2081573 / 8.40611799

z = 1.33

Therefore,

let's find the surface area of the larger solid.

The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,

z² = larger solid / 549

surface area of the larger solid =  1.33² × 549

surface area of the larger solid = 1.7689 × 549

surface area of the larger solid = 971.1261

surface area of the larger solid = 971.13 m²

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Answer:

1

Step-by-step explanation:

Only 1 line can pass through two points.

Answer:

x=237/7 and y=-199/7

Explanation:

Multiply the second equation by 2, then add the equations together.

(−2x+3y=−153)

2(x+2y=−23)

Becomes:

−2x+3y=−153

2x+4y=−46

Add these equations to eliminate x:

7y=−199

Then solve 7y=−199 for y:

7y=−199

(Divide both sides by 7)

y=−199/7

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−2x+3y=−153

Substitute −199/7 for y in−2x+3y=−153:

Add 597/7 to both sides

Divide both sides by -2

Answer:

if you are solving for x, x= 4/3

Step-by-step explanation:

How to solve your problem:

1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers

7. Subtract 4 from both sides

8.Simplify

Answer:

X= 4/3

Hopes this helps! ^^

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

contact +2348021312463, he can help you

after approximately 137 minutes, there will be 10 bacteria remaining.

To find the time at which there will be 10 bacteria remaining, we can use the half-life model for exponential decay, which is given by:

N(t) = N₀ * [tex](1/2)^{(t / t_{half})[/tex]

where:

N(t) = the number of bacteria at time t

N₀ = the initial number of bacteria

t = time (in minutes)

t_half = the half-life of the bacteria

We are given that the initial number of bacteria (N₀) is 500 and after 17 minutes there are 150 bacteria (N(17) = 150).

Let's use this information to find the value of k (the decay constant):

150 = 500 * [tex](1/2)^{(17 / t_{half})[/tex]

Divide both sides by 500:

[tex](1/2)^{(17 / t_{half})[/tex] = 150 / 500

[tex](1/2)^{(17 / t_{half})[/tex] = 0.3

Now, we can write the equation as an exponent:

17 / t_half = log base (1/2) of 0.3

Using logarithms:

t_half = 17 / log base (1/2) of 0.3

Now, calculate t_half:

t_half = 17 / log base 2 of 0.3 ≈ 38.555

Now, we can find the time at which there will be 10 bacteria remaining (N(t) = 10):

10 = 500 * [tex](1/2)^{(t / 38.555)[/tex]

Divide both sides by 500:

[tex](1/2)^{(t / 38.555)[/tex] = 10 / 500

[tex](1/2)^{(t / 38.555)[/tex] = 0.02

Write the equation as an exponent:

t / 38.555 = log base (1/2) of 0.02

Using logarithms:

t = 38.555 * log base 2 of 0.02 ≈ 137.08

Rounding to the nearest whole number:

t ≈ 137

So, after approximately 137 minutes, there will be 10 bacteria remaining.

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Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]

[tex]Simplify[/tex]

[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]

[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]

[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]

[tex]x=-2[/tex]

~lenvy~

Answer:

friday

Step-by-step explanation:

Answer:

I'd say 955$ or so

Step-by-step explanation:

Answer:

£80

Step-by-step explanation:

larger ratio is 15 and smaller ratio is 1

15 + 1 = 16

£5×16=£80

Answer:

zero

Step-by-step explanation:

because it's horizontal line

Answer:

Step-by-step explanation:

Basic quadratic equation has this following form:

[tex](x-x_{1})(x-x_{2})=0[/tex]

where x1 and x2 are the roots.

For [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex], we can find:

[tex](x-1)(x-2)=0 \rightarrow x^{2}-2x-x+2=0 \rightarrow x^{2}-3x+2=0[/tex]

The situation IS NOT represented by the tape diagram.

The situation can be represented by the equation:

s + s + s + s + s + 6 = 106

5s + 6 = 106

5s = 106 - 6

5s = 100

s = 100/5

s = 20

Therefore, the amount Noah earned each time he walked the dog is $20

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Answer:

x=4.8

I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides

5/3 = 8/x (then just solve for x)

24=5x

4.8=x

Answer:

66 degrees

Step-by-step explanation:

All three angles on any given triangle have a sum of 180 degrees.

We know that the measure of angle B is the the same as angle C.

So 57 +57 = 114

180 - 114 = 66

Hope that helps!

Answer:

Step-by-step explanation:

First, calculate the angle of FDE (assume it as α) by:

[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]

[tex]\alpha=60^{0}[/tex]

So, use this angle to calculate the area of FDE (unshaded region):

[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]

So, the shaded region can be determined by:

[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]

Answer:

yes

Step-by-step explanation:

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

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Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Answer:

y= -x-3

Step-by-step explanation:

Answer:

Your answer is D, 11

Step-by-step explanation:

PEMDAS, first you divide, 21/3 is 7

7+8 is 15

15 - 4 is 11

Hope this helps! :)

Answer:

[tex]\boxed{\sf{11}}[/tex]

Step-by-step explanation:

Solving this problem requires an order of operations.

PEMDAS stands for:

First, divide.

[tex]\sf{21\div3+8-4}[/tex]

[tex]\sf{21\div3=7}[/tex]

Then rewrite the problem.

[tex]\sf{7+8-4}[/tex]

Add.

[tex]\sf{7+8=15}[/tex]

Subtract.

[tex]\sf{15-4=\boxed{\sf{11}}[/tex]

11

Therefore, the correct answer is 11.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

B

Step-by-step explanation:

because in general

(a + b)(a - b) = a² - b²

when the second term is negative, it has to be the product of a positive and a negative number.

positive × positive = positive

negative × negative = positive

Answer:

(This is not math)

Step-by-step explanation:

I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness

Answer:

Step-by-step explanation:

If you are doing probability with replacement they will all be 1/6 each time.

total there is 6/6. If you draw a yellow card first it's 1/6 then replace it and draw a blue it is still 1/6. so you take those two probabilities and multiply them (1/6)*(1/6)=1/36 1*1=1 and 6*6=36.

Your answer is 1/36

Answer:

[tex]4 \sqrt{5} [/tex]

Answer:

Step-by-step explanation:

let x be necromancers and y be wizards

if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6

but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6

Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, for the population, the mean and the standard deviation are given by, respectively:

[tex]\mu = 185.47, \sigma = 39[/tex].

For a sample of 37 passengers, we have that:

[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]

The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a p-value of 0.0026.

1 - 0.0026 = 0.9974.

There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.

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Answer:

thats the answer

Step-by-step explanation:

Answer:

1) =  -10n^2 + 4ny -2nc

2) = 6b^2a-10b^3+16b^2c

Step-by-step explanation:

Answer:

P=300cm

Step-by-step explanation:

P=4a=4.75×4=300cm

[tex]\green{ \underline { \boxed{ \sf{Perimeter \: of \:Square = 4 \times side }}}}[/tex]

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \:of \:Square = 4 \times 75 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \: of \:Square = 300 sq. \:cm \\\end{gathered} [/tex]

>>Therefore, Perimeter of the Square is 300 sq. cm