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3 years ago

FIRST CORRECT ANSWER GETS A BRAINLIEST +50pts!!!

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

y = 10.50x + 7.50

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

Add the two y values to get the total y for the slope

y2 = 5.50+4 = 9.50 when x=2

y1 = 3.50+ 2.50 = 6 when x =1

m = ( 9.50-6/(2-1)

3.50/1

= 3.50

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3.50x +b

Using the point ( 1,6)

6 = 3.50(1) + b

6 - 3.50 = 3.50+b-3.50

2.50 =b

y = 3.50x+2.50

We want 3 shipments

Multiply by 3

y = 10.50x + 7.50

Ksenya-84 [330]3 years ago

3 0

Answer:

Step-by-step explanation:

BRAINLIEST

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Evaluate the expression for s=9<br> 72/s

Vinil7 [7]

Answer:

Step-by-step explanation:

72/s

Let s=9

72/9 = 8

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2 years ago

The sum of the squares of two consecutive positive even integers is 52.Find the integers

ankoles [38]

Answer:

The two consecutive positive integers are $4$ and $6$ .

Step-by-step explanation:

Let $x$ be an even integer, then the next even integer is $(x+2)$ .

The sum of the squares of these even integers is $52$ .

We can write the following equation and solve for $x$ .

$x^2+(x+2)^2=52$ .

We expand to get,

$x^2+x^2+4x+4=52$ .

We simplify to get,

$2x^2+4x+4-52=0$ .

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$2x^2+4x-48=0$

We divide through by 2 to get,

$x^2+2x-24=0$ .

This is now a quadratic trinomial

We split the middle term to get,

$x^2+6x-4x-24=0$ .

We factor to obtain,

$x(x+6)-4(x+6)=0$

$\Rightarrow (x+6)(x-4)=0$

$\Rightarrow (x+6)=0 or (x-4)=0$

$\Rightarrow x=-6 or x=4$

We discard $x=-6$ since it is not a positive integer.

$\therefore x=4$

Hence the two consecutive positive even integers are,

$4$

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3 years ago

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Find the value of x in the triangle. Please show work. Help

Assoli18 [71]

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2 years ago

The midpoint of RS¯¯¯¯¯¯¯ is M. Use the given endpoint R(23, 14) and midpoint M(13, 8) to find the coordinates of the other endp

Oksanka [162]

The coordinates of other endpoint S is (3, 2)

<h3><u>Solution:</u></h3>

Given that midpoint of RS is M

Given endpoint R(23, 14) and midpoint M(13, 8)

To find: coordinates of the other endpoint S

<em><u>The formula for midpoint is given as:</u></em>

For a line containing containing two points $(x_1, y_1)$ and $(x_2, y_2)$ midpoint is given as:

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here in this problem,

m(x, y) = (13, 8)

$(x_1, y_1) = (23, 14)\\\\(x_2, y_2) = ?$

Substituting the given values in above formula, we get

$(13,8)=\left(\frac{23+x_{2}}{2}, \frac{14+y_{2}}{2}\right)$

Comparing both the sides we get,

$\begin{aligned}&13=\frac{23+x_{2}}{2} \text { and } 8=\frac{14+y_{2}}{2}\\\\&26=23+x_{2} \text { and } 16=14+y_{2}\\\\&x_{2}=3 \text { and } y_{2}=2\end{aligned}$

Thus the coordinates of other endpoint S is (3, 2)

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