MATHEMATICS HIGH SCHOOL

Find the slope of the line that passes through (3,7) and (5,4)

Answers

Answer 1

Answer:

Answer:

-3/2

Step-by-step explanation:

y2-y1/x2-x1

7-4/3-5

3/-2

-3/2

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How much water should be added to 18ml of 10% alcohol solution to reduce to reduce the concentration to 9%

Answers

$10\%=(10)/(100)=0.1\n\n0.1\cdot18ml=1.8ml-clear\ alcohol\n\n9\%=(9)/(100)=0.09\n\nw-added\ water\ (ml)\n18ml+w-9\%\ alcohol\ solution\n\n0.09(18+w)=1.8\ \ \ \ /:0.09\n18+w=20\ \ \ /-18\nw=2\n\nAnswer:2ml.$

18 * 0.1 = 1.8 ml

0.09(x + 18) = 1.8
18 + x = 20
x = 20 - 18
x = 2

2 ml.

Suppose the circumference of a circle is 3 pi. What is the diameter?

Answers

this was asked already
c=pid or
c=2pir

use first one
c=3pi
3pi=c=pid
3pi=pid
divide by pi
3=d
diameter=3 units

$2\pi r~or~ \pi d$ so divide 3 by $/pi$

There were 26 students in the classroom. 14 of the students went to thecafeteria and the rest went to the gym. What percentage of students
went to the cafeteria?

Answers

Answer:

53.85%

Step-by-step explanation:

14 of the 26 went to the cafeteria

14/26

7/13

Change to decimal form

.538461538

Change to percent form from decimal form

53.85%

Answer:

54% went to the cafeteria

Step-by-step explanation:

14/26= 0.53846153846 or .54

.54*100= 54%

I hope this helps!!!

In quadrilateral ABCD, angle A=(4x+10), Angle B=108, angle C= 3x, and angle D=67. Solve for x.

Answers

as the sum of angels in quadrilateral = 360°
so , A+B+C+D = 360
hence, x = 25

Write "P (x) = -36x^2 + 900x - 1584" in standard vertex form, help please!

Answers

y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a $(x + b/2a)^(2) -$ Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = $b^(2) -$ 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

Answer:

y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

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