Solve the quadratic equation x2 – 10x + 14 = –4 by completing the square.
Question 3 options:

A)

x = 5 ±

B)

x = –5 ±

C)

x = –7 ±

D)

x = 7 ±

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

Answer:

-2

Step-by-step explanation:

This is an easy way to do it with points

(0,2)

+1  -2

(1,0)

rise/run  -2/1= -2

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

The number of fences needed to build around the entire garden is 12.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Side of the square garden = 3 inches

Scale factor.

1(1/2) inches = 4 feet

3/2 inches = 4 feet

3 inches = 8 feet

Now,

Length of one fence.

= 2(2/3) feet

= 8/3 feet

Now,

The perimeter of the square.

= 4 side

= 4 x 3 inches

= 12 inches

= 4 x 8 feet

= 32 feet

Now,

The number of fences needed to build the fence around the garden.

= 32 ÷ 8/3

= 32 x 3/8

= 12 fences

Thus,

12 fences are needed to cover the entire garden.

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Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

Answer:2,4

Step-by-step explanation:

Answer:

12 <----

Step-by-step explanation:

the remainder is 18 but the answer is 12 and the full thing would be

------> 6.18367346939

Answer:

your answer will be 588in²

Step-by-step explanation:

Area=πr²

=π(14)²

=3×(14)²

Area=588in²

hope it helps..

have a great day!!!

Answer:

Yeah

Step-by-step explanation:

☁️ Answer ☁️

Yes! Send a screenshot and ask ur question

Answer:

there are no questions

Step-by-step explanation:

but may i still please have a brainliest

if not then it is ok

write the questions in the comments

Answer:

What questions?

I don't see anything

Answer:

Step-by-step explanation:xmccc

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

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Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

Answer:

(2,5)

(3,-4)

(4,-7)

(5,-4)

(6,5)

Answer:

By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.

Step-by-step explanation:

Answer:

4 pounds

Step-by-step explanation:

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

Answer: $240.75

Step-by-step explanation:

Using the concept of the tangent function, it is found that:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

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

Tangent function:

It is given by:

[tex]f(x) = \tan{Bx}[/tex]

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

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

Considering the three bullet points above, the correct option is:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

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Answer:

got it right

Step-by-step explanation:

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

Answer:

C. 16 feet.

Step-by-step explanation:

How to find the maximum height of a projectile

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

Answer:

1 out of 6 or 16.7%

Step-by-step explanation:

The form of the function that most quickly reveals the y-intercept is the second form:

[tex]g(x)=[/tex] [tex]3(x+1)^{2} - 12[/tex]

To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:

[tex]g(0)=3(0+1)^{2} -12[/tex]

     [tex]=3(1)^{2} -12[/tex]

     [tex]=3-12[/tex]

     [tex]=-9.[/tex]

Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.

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