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Cloud [144]
3 years ago
8

If a= (-1,-3) and b= (11,8), what is the length of AB?

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

4.80 units (3 s.f.)

Step-by-step explanation:

distance \: formula \\  =  \sqrt{(x1 - x2)^{2}+ (y1 - y2)^{2} }

Hence, length of AB

= √(11+1)^2 - (8+3)^2

= √ 12^2 -11^2

= √ 23

= 4.80 units (3 s.f.)

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Andrew can run the forty yard dash in 1/2 the time that Brett can. If the sum of the two boys' times is 16.2 seconds, how many s
Zigmanuir [339]
10.8 seconds for brett i’m pretty sure
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3 years ago
Standard form of a point that goes through-2,4 and the slope is -1/7
lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0
3 years ago
(05.03 LC) 15 POINTS + BRANLIEST PLEASE HELP!!!!!
Vanyuwa [196]
Initial value is the value of y where x = 0 (y-intercept).

You are already given that line contains point (0, 5). The y-coordinate is 5 therefore answer is C.
Please mark Brainliest
8 0
3 years ago
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The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

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27= πr^3

27/π =r³

r=

\sqrt[3]{27 \div \pi}

r= 2.048in

round off to 2.05in

<u>PROOF</u>

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= <u>2.05 inches</u>

8 0
3 years ago
A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to mee
Dafna11 [192]

Answer:

300

Step-by-step explanation:

24000/80

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3 years ago
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