Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary

x^2 - 49 = 0

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

      = 4(8) - 5(4) + 4 - 14

      = 32 - 20 - 10

      =  12 - 10

      = 2

The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Fist of all, we would assign variables to the distance between these astronomical objects as follows:

Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:

Sinθ = Opp/Hyp

Sinθ = EM/y

EM = y × Sinθ

Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

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Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

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Answer:

Y = -8.17

X= -4.936

For the first one

Step-by-step explanation:

4x=26+6y

X = 6.5+1.5y

5(6.5+1.5y)-4y = 8

32.5+7.5y-4y = 8

24.5=-3y

Y = -8.17

X= -4.936

Answer:

The perimeter would be 32.6 ft.

Step-by-step explanation:

5.7+ 5.7+10.6+10.6=32.6

Answer: in picture

Step-by-step explanation:

Sorry if I got something wrong

Answer:

b) Yes. Because it grows linearly, and have the proportions of 3. For each x you have an y 3 times bigger

Step-by-step explanation:

a) Okay, I cannot draw it right now, but I can explain how you'll do it. First step: draw a point on x=1 and y=3. Second step: draw another point on x=5 and y=15. Third step: pick your rule and make a straight line in these two points. It's done :)

Answer: your answer is D

[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]

The equation of a circle is represented as :

[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]

where,

So, from above equation we get:

Therefore, Radius of the given circle measures 6 units.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

D

Step-by-step explanation:

Let us start with the standard equation of a parabola, [tex]y=a(x-h)^2+k[/tex]. To move the parabola up or down, we would change the value of k. k>0, the parabola goes upward. k<0, the parabola goes downward. To move the parabola left or right, we would change the h value. h>0, the parabola goes to the right. h<0, the parabola goes to the left. Also take note that a change of 1 unit on an h or k value reflects also a 1 unit translation on the graph of the parabola.

The question asks us to shift our parabola [tex]g(x)=4x^2-16[/tex] right 7 units and down 3 units. Therefore, we have:

[tex]g(x)=4(x-7)^2-16-3\\g(x)=4(x-7)^2-19[/tex]

D

I hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

Answer:

2:45

Step-by-step explanation:

2:45

Answer: [tex]17.4\ \text{miles}[/tex]

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]

Answer:

The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.

length = 1 yd, width = 20 yd

length = 2 yd, width = 10 yd

length = 10 yd, width = 2 yd

length = 20 yd, width = 1 y

Answer:

C. V15

Step-by-step explanation:

Each step we go back a letter in the alphabet and up 3 numbers.

Hope this helps! :)

Answer:

C. V15

Step-by-step explanation:

I got the answer correct.

Answer: answer is c pls mark me brain

Step-by-step explanation:

The expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

An expression is combination of variables, numbers and operators.

The given expression is (2g³+4)²

We have to find the equivalent expression of the given expression

Equivalent expressions are expressions that work the same even though they look different

We know that (a+b)²=a²+b²=2ab

(2g³+4)² = (2g³)² + 4² +2.2g³.4

=4g⁶+16+16g³

Hence, the expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

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Answer:

[tex]OP=3.6[/tex]

Step-by-step explanation:

Since OP is parallel to LM, the two triangles are similar, because they share all three angles. By definition, the corresponding sides of a similar polygon must be in a constant proportion.

Thus, we have:

[tex]\frac{6}{6+4}=\frac{OP}{6},\\10\cdot OP=36,\\OP=\frac{36}{10}=\boxed{3.6}[/tex]

Answer:

Yes.

(4,2) is a solution to the equation

Step-by-step explanation:

Substitute (4,2) for x and y in the equation

Y = 6x - 22

2 = 6(4) -22

2 = 24 - 22

2 = 2

Answer:

1.a 72.8 yd wish I seen this sooner

Answer:

below

Step-by-step explanation:

10ˣ = 5

applying log to both sides

xlog 10 = log5

x = 0•699

Answer:

44

Step-by-step explanation:

Answer: almost there

Step-by-step explanation: bring the 2 up

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Explanation:

set A = dice values greater than 4 = {5,6}

set B = dice values 4 or less = {1,2,3,4}

Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.

There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation: