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Naya [18.7K]
3 years ago
12

Given AC with A(3, 4) and C(-9, -2), if B

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

B = (- 4, \frac{1}{2} )

Step-by-step explanation:

Using the Section formula

x_{B} = \frac{7(-9)+5(3)}{7+5} = \frac{-63+15}{12} = \frac{-48}{12} = - 4

y_{B} = \frac{7(-2)+5(4)}{7+5} = \frac{-14+20}{12} = \frac{6}{12} = \frac{1}{2}

Thus coordinates of B = (- 4, \frac{1}{2} )

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Sarah uses a recipe to make 2 gallons of juice. Two of the containers she plans to use to store the juice have a capacity of one
Allisa [31]

Answer:

14 pint containers.

Step-by-step explanation:

First we have to convert gallon to quart.

2 gallons = 8 quarts

There are 2 containers that added up to 1 quart, so let's subtract the one quart from the 2 gallons(8 quarts), leaving behind 7 quarts.

The conversion between quarts and pints are 1qt=2pt, according to the key you provided. Then 7 quarts will equal to 14 pints. And therefore, she will need 14 pint containers.

4 0
3 years ago
A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25
Klio2033 [76]

Answer:

\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%

Step-by-step explanation:

Assuming the maximum score for the final is 100\%, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of 100\%, their overall grade for the course would be:

83(1-0.25)+100(0.25)=\fbox{$87.25\%$}.

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

83(1-0.25)+x(0.25)=75, where x is the minimum score she needs.

Solving, we get:

62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}.

8 0
3 years ago
Wanna be the Brainiest
masha68 [24]

Answer:

156cm^3

Step-by-step explanation:

V= 1/2 a*c*h

a=3

c=8

h=13

3*8*13=312

312/2=156

5 0
3 years ago
2(4x - 6) = 6x - 4 <br><br> A) 4 <br> B) 8 <br> C) -4 <br> D) no solution
Zanzabum

The answer should be A) 4


3 0
3 years ago
Read 2 more answers
The intercepts of the equation x^2 + 4y^2 = 16 are ___<br> PLEASE HELP
Eva8 [605]
Yintercepts are where x=0
set to zero to solve

0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2

xintercept is where y=0

x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4

yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)
3 0
3 years ago
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