The sum of two numbers is 9. The difference in their squares is also 9. Find the numbers.
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Answer:

a. 7(2g + 20t –3)

b. 14g + 140t – 21

Step-by-step explanation:

a. The first expression 7(2g + 20t  – 3)

Stacey and her six friends implies that we have 7 members in the group.

Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.

The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).

b. The second expression 14g + 140t – 21

The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.

Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.

Answer:

d, 45 degrees

Step-by-step explanation:

a triangles angles add up to 180 we already have 90 so 180 - 90 = 90 and the two other angles are equal so 90÷2 is 45

9514 1404 393

Answer:

  5.69 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you of the relationships between angles and sides in a right triangle. Here, the useful ones are ...

  Cos = Adjacent/Hypotenuse

  Sin = Opposite/Hypotenuse

__

Using the first of these, we can find GD:

  cos(52°) = GC/GD

  GD = GC/cos(52°)

Using the second of these, we can find GH:

  sin(64°) = GH/GD

  GH = GD·sin(64°)

Substituting for GD, we find ...

  GH = GC·sin(64°)/cos(52°)

  GH ≈ (3.9 cm)(0.8988/0.6157)

  GH ≈ 5.69 cm

_____

Additional comment

The length 2.77 cm given in your question is the approximate length of DH. That solution is DH = (3.9 cm)·cos(64°)/cos(52°) ≈ 2.7769 cm ≈ 2.78 cm.

Problems of this nature tend to be formulated different ways, so the specific answer will depend on the specific question. Angles and lengths and requested information may vary, even though the picture looks very similar. Read all the words.

Answer:

16.7

Step-by-step explanation:

We can use the Pythagorean Theorem [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].  So we write the equation below and solve for b.

[tex]9^{2}[/tex] + [tex]b^{2}[/tex] = [tex]19^{2}[/tex]

81 + [tex]b^{2}[/tex] = 361

[tex]b^{2}[/tex] = 280

b = 16.7

Answer:

h²=p²+b²

(19)²-(9)²=b²

361-81= b²

b²=280

b= √280

:. b=+-16.733

Answer:

The correct answer is:

6 inches by 6 inches

Step-by-step explanation:

Given that

Area of Enlarged photo = 256 square inches

Let x be the side of original photo

then the equation for area of new enlarged photo will be:

[tex](x+10)^2 = 256[/tex]

We have to solve the given equation to find the side length of original photo

Taking square root on both sides

[tex]\sqrt{(x+10)^2} = \sqrt{256}\\x+10 = 16[/tex]

Subtracting 10 from both sides

[tex]x+10-10 = 16-10\\x = 6[/tex]

So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.

Hence,

The correct answer is:

6 inches by 6 inches

Answer:

Its B on edge 2021

Step-by-step explanation:

Just took a test

Answer: 2400 litre in 50 mins

In 1 min it fills 2400/50 litres

In 30 mins 2400/50*30=1440litres

Answer:

So after reflecting over the x-axis, the equation is:

[tex]-y = x-2[/tex]

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

Step-by-step explanation:

Given the equation

[tex]y = x - 2[/tex]

Reflecting over the x-axis inverts the sign of the y-coordinate, but the sign of the x-coordinate remains the same.

So after reflecting over the x-axis, the equation is:

[tex]-y = x-2[/tex]

Now, writing the equation in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

Answer:

The circumference of a circle with a latitude of 40 degrees is 251.33

Answer:

6.245

Step-by-step explanation:

........... .....

Answer:

17 yards

Step-by-step explanation:

X = √[(15^2) + (8^2)]

x = √[225 + 64]

x = √289

x = 17

Answer:

I think it's answer choice A!

Step-by-step explanation:

The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!

The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

In option (A),

Points are (2,4) and (2,7).

The distance between them will be,

[tex]d = \sqrt {\left( {2 - 2 } \right)^2 + \left( {4 - 7 } \right)^2 }[/tex]

d = √(3²) = 3

Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".

To learn more about the distance between two points,

https://brainly.com/question/24485622

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Answer:

How much of it was sold at $5.60 per pound? The question cut off on that part.

Step-by-step explanation:

So the scale used was

Step-by-step explanation:

Given;

Length of library on drawing = 13 inches

Actual length of library = 78 feet

In order to find the scale we divide the actual length by the length of library on drawing.

So, scale = 1 inch = 6 feet

Keywords: Scale, Maps

Answer:

C

Step-by-step explanation:

78 feet/13 inches=6 inches/foot

9514 1404 393

Answer:

  x = 3

  y = 2

Step-by-step explanation:

Segments in the smaller triangle are half the length of the corresponding segments in the larger triangle.

Shortest to longest, the segments are ...

  3 : 4 : 6 = 1.5 : y : x = 1.5 : 2 : 3

  y = 2

  x = 3

Answer:

7°

Step-by-step explanation:

Just a quick clarification, swap A and B on the diagram.

If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.

7x - 4 = 45
7x - 4 + 4 = 45 + 4
7x = 49
7x/7 = 49/7
x = 7

Answer: 25 miles per gallon

Step-by-step explanation:

Look for where the slanted lines meets at a corner

Answer:

Step-by-step explanation:

1k +9 > 30

1k +9 -9 > 30 -9

1k > 21

k > 21

Answer:

1) y=4

2) y=7

3) x=6

Step-by-step explanation:

to get y, divide x by 2. to get x, multiply y by 2

Answer:

in 2 months

Step-by-step explanation:

since 2 times 7000 is 14000 plz mark as brainliest

Answer: 16.12 should be your answer.

Hope this helps.

Answer: 16.12

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

-6 + 30 = 24

The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

The vertices of the triangle are given as:

F = (-7,8)

G = (-1,1)

H = (-8,4)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the triangle, we have:

F' = (8, 7)

G' = (1, 1)

H' = (4, 8)

Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

Read more about rotation at

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Answer: x=13

Step-by-step explanation: