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lbvjy [14]
2 years ago
15

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16 - 9) = -1(4 + 3)(4 -

3) (16 - 9) = (4 + 3)(4 - 3) (25 - 4) = (5 + 2)(5 - 2) (18 - 11) = (9 + 6)(9 - 5) (64 - 1) = (8 + 1)(8 - 1)
Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0

Answer:

(16-9)

Step-by-step explanation:

that is the answer because 16-9 is 7

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Given: PRST square
Zigmanuir [339]

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
A car uses 3t gallons of gasoline to travel 5 miles.
Nadusha1986 [10]

Answer: a) \frac{24}{5}t gallons are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Step-by-step explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles = \frac{3t}{5}\times 8=\frac{24}{5}t gallons

\frac{24}{5}t gallons are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = \frac{5}{3t}\times 9t=15 miles

Thus town X and town Y are 15 miles apart.

6 0
2 years ago
Pam served her apple pie on a 13 inch diameter dish. She wanted to tie a ribbon around the dish to make it a little more festive
zlopas [31]

Answer:

Length of ribbon = 40.86 inches

Step-by-step explanation:

Length of the ribbon = circumference of the dish = πD

D = diameter = 13 inches

Length of ribbon = 22/7 x 13 = 40.857143 inches

8 0
2 years ago
Read 2 more answers
The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by th
Lady bird [3.3K]
For a hyperbola   \dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1
where   a^{2}+b^{2}=c^{2}
the directrix is the line   y=\dfrac{a^{2}}{c}
and the focus is at (0, c).

Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
  a = √9 = 3
  b = √16 = 4

Your hyperbola's constants are ...
  a = 3
  b = 4


______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
8 0
2 years ago
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Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type
blagie [28]

Total points is 23

<u>Explanation:</u>

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

y = \frac{x}{2} + 3                  -1

The equation can be formed as:

\frac{x}{2} + 3 + x = 18

On solving this equation further we get:

\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4

Putting the value of x = 4 in equation 1

y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5

Points for 2 pointer shots = 4 X 2

                                        = 8

Points for 3 pointer shots = 5 X 3

                                        = 15

Total points = 8 + 15

                  = 23

Therefore, total points is 23

5 0
2 years ago
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