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lawyer [7]
3 years ago
8

What is the distance between the points (3, 4) ( -2 , 4)​

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
The answer is 5 using the distance formula
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The parabola y=ax^2+bx-10 passes through the points (4.5,8) and (-2.5, 15). Determine the values of a and b
yuradex [85]
y=ax^2+bx-10 \\ \\
(4.5,8) \\
8=a \times 4.5^2 + b \times 4.5-10 \\
8=20.25a+4.5b-10 \ \ \ |+10 \\
18=20.25a+4.5b \\ \\
(-2.5,15) \\
15=a \times (-2.5)^2+b \times (-2.5)-10 \\
15=6.25a-2.5b-10 \ \ \ |+10 \\
25=6.25a-2.5b

The system of equations:
18=20.25a+4.5b \ \ \ |\times 5 \\
25=6.25a-2.5b \ \ \ |\times 9 \\ \\
90=101.25a+22.5b \\
\underline{225=56.25a-22.5b} \\
90+225=101.25a+56.25a \\
315=157.5a \ \ \ |\div 157.5 \\
a=2 \\ \\
25=6.25a-2.5b \\
25=6.25 \times 2-2.5b \\
25=12.5 -2.5b \ \ \ |-12.5 \\
12.5=-2.5b \ \ \ |\div (-2.5) \\
b=-5 \\ \\
\boxed{a=2} \\ \boxed{b=-5} \\ \boxed{y=2x^2-5x-10}
6 0
3 years ago
Explain how the exterior angle relates to the interior angles.
OLEGan [10]

Answer: The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.

Step-by-step explanation: I just did the assignment.

3 0
3 years ago
HELP NEEDED PLEASE ASAP!!!!
postnew [5]

Answer:

A

Step-by-step explanation:

Arc length is r*(theta) = 1*(pi/4)=pi/4=0.785

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3 years ago
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l
irakobra [83]
 Which value is possible for the length of the rectangle?<span>d. 10 in.</span>
3 0
3 years ago
What does Buksa find?
lawyer [7]

Answer:

The answer is A)

Buksa and Salva heard noises. As they fell back and searched, they realised they had found a beehive with lots of honey.

Buksa is a character in the book "A long walk to water".

Cheers!

5 0
3 years ago
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