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3 years ago

Determine which system of equation has (-3,19) and (4,-23) as a solution?

Mathematics

1 answer:

grandymaker [24]3 years ago

4 0

Answer:

y=6x+1

Step-by-step explanation:

First you must find the slope of the two points...

$\frac{4--3}{-23-19}$ which then would equal 6

Then you take the slope and put into point-slope form

(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.

so I used (-3,19).

(y-19)=6(x--3)

I would then get y-19=6x+18

Add 19 to both sides and you will get y=6x+1

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What is the mean of the following set? 34, 31, 32, 38

larisa [96]

Answer:

33.75.

Step-by-step explanation:

The mean = sum of the numbers / the number count

= (34 + 31 + 32 + 38) / 4

= 135 / 4

= 33.75.

7 0

3 years ago

Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp

ycow [4]

Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of boys added: 18
Ratio of boys to girls: 5:4

So, the total number of boys is:

x + 18

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0

3 years ago

The value of b when solving the equation 2 (6 + 12) = 16 is:

elena-s [515]

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 + 2 X 12

12 + 24

26 = 16

HOPE U GE5T IT

8 0

3 years ago

Can someone offer help to this ratio question

AlekseyPX

Answer:

Cherry Pink has not been made ( $25:17\neq 4:3$ )

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

$Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l$

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

$V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l \ \ \ \ \ \ \ \ \ \ \# simplify\\\\r:w=25:17$

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

$25:17\neq 4:3$

Hence, Cherry pink has not been made.

3 0

4 years ago

12% of what number is 180? A. 15 B. 150 C. 1500 D. 21.6

Doss [256]

The correct answer is C

4 0

4 years ago

Read 2 more answers