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Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

Answer:

276in³

Step-by-step explanation:

First, we can separate this into two separate rectangular prisms. We can add their volumes to get the total volume. I have separated the prisms by the light green lines, as shown in the picture.

For the top one, we have a length of 5 in , width of 3 in, and height of x in. We know that the total height is 10 in, and the bottom height is 6. The top difference is the difference of those two heights, or 10-6= 4 = x. Therefore, the volume of the top prism is 5 in* 3 in* 4 in = 60 in³

For the bottom prism, we have a length of 12 in, height of 6 in, and width of 3 in (this is the same, as the 3in from the top prism matches with the width of the of the bottom prism), making our volume 12 in * 6 in * 3 in = 216 in ³.

We can then add 216 in ³ and 60 in³ to get 276in³ as our total volume

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

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Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

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A slightly longer approach would have you follow these steps

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

1344.

Step-by-step explanation :

.

The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A jet travels 832 km in 5 hours.

Then the speed of the jet will be

Speed = 832 / 5

Speed = 166.4 km per hours

If the jet fly for 12 hours, then the distance cover will be

Distance = Speed x Time

Distance = 166.4 x 12

Distance = 1996.8 km

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Answer:

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

Step-by-step explanation:

Let

x = number of children tickets sold

y = number of adult tickets sold

x + y = 146 (1)

5.70x + 9.50y = 1075.40 (2)

From (1)

x = 146 - y

Substitute x = 146 - y into (2)

5.70x + 9.50y = 1075.40 (2)

5.70(146 - y) + 9.50y = 1075.40

832.2 - 5.70y + 9.50y = 1075.40

- 5.70y + 9.50y = 1075.40 - 832.2

3.8y = 243.2

y = 243.2/3.8

y = 64

Substitute y = 64 into (1)

x + y = 146

x + 64 = 146

x = 146 - 64

x = 82

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

Answer:

The capital is $ 309365.

Step-by-step explanation:

What is the capital that I need, if I want to obtain a profit of $ 9745 in 5 months applying a rate of 6.3?

Let the capital is P.

Simple interest, I =$ 9745

Rate, R = 6.3 %

Time, T = 5 months

Use the formula of the simple interest.  

[tex]9745=\frac{P\times 6.3\times 5}{1200}\\\\P = 309365[/tex]

Answer:

The slope is -2/3 and the y-intercept is -1.

Step-by-step explanation:

In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.

For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.

Answer: C

Step-by-step explanation:

Answer:

Isosceles triangle

Answer:

d. p - 15 = 49

Step-by-step explanation:

p = original price

The price was reduced by 15 dollars.

The new price is p - 15.

The new price is 49.

p - 15 = 49

Answer: d. p - 15 = 49

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

93600

Step-by-step explanation:

24=3*2*2*2

y=0,8

1) x3600, then x=9,6,3

2)x3608, then x=1,4,7

9 is the largest so the final answer is 93600

Answer: Approximately 5.22%

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Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

Answer:

(x + 10)(2x + 5)

Step-by-step explanation:

Given

2x² + 25x + 50

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 2 × 50 = 100 and b = 25

The factors are + 20 and + 5

Use these factors to split the x- term

2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )

= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term

= (x + 10)(2x + 5)

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

Answer:

24

Step-by-step explanation:

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

Answer:

(6,101)

Step-by-step explanation:

x value of vertex is given by b/2a in quadratic.

b=12 and a=1

that gives you a 6, then plug in x=6 in the quadratic equation and that gives you

y=101

Answer:

2/60 = 1/30 = 3.3%

Step-by-step explanation:

Answer:

x = length of the rectangle = 24 m

Perimeter of the field = 80 m

Area of the field = 384 square meter

Step-by-step explanation:

Width of the rectangle = 16 m

Ratio of the length and width = 3:2

Let

x = length of the rectangle

Ratio of the length and width = x : 16

Equate both ratios

x : 16 = 3 : 2

x/16 = 3/2

Cross product

x * 2 = 16 * 3

2x = 48

x = 48/2

x = 24

x = length of the rectangle = 24 m

Perimeter of the field = 2(length + width)

= 2(24 m + 16 m)

= 2(40 m)

= 80 m

Perimeter of the field = 80 m

Area of the field = length × width

= 24 m × 16 m

= 384 m²

Area of the field = 384 square meter

Answer:

It is d

Step-by-step explanation:

Step-by-step explanation:

s ask me what's your question I can help u

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Hello,

here is the picture:

Slope (PR):

[tex]m=\dfrac{2-4}{6-2} =-\dfrac{1}{2} \\Slope\ of\ the\ perpendicular: -\dfrac{1}{\dfrac{-1}{2} } =2\\\\perpendicular\ is\ passing\ trought\ M(4,3): y-3=2(x-4)\\y=2x-5\\If\ y=0\ then\ x= \dfrac{5}{2} \\Q=( \dfrac{5}{2},0)\\[/tex]