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lutik1710 [3]
2 years ago
12

Is the relationship =~ or 180 set up on equation and solver for x find the measure the gíren

Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

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How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)
Debora [2.8K]

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}.


so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.


\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope =  m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3

3 0
3 years ago
3p + 7 = -4(4 - 6p) + 2
zvonat [6]

p=1

Step-by-step explanation:

3p + 7 =  - 4(4 - 6p) + 2 \\ 3p + 7 =  - 16 + 24p + 2 \\ 3p - 24p =  - 16 + 2 - 7 \\  - 21p =  - 21

\frac{ - 21p}{ - 21}  =  \frac{ - 21}{ - 21}  \\ p = 1

3 0
3 years ago
Read 2 more answers
Can someone solve this for me?
Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare

5 0
2 years ago
to make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. what is the ratio of water to sugar
Nutka1998 [239]
Your ratio is 4:1 because it takes 4 cups of water for every cup of sugar.
6 0
3 years ago
Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?
nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

3x=2y+2 ----> equation A

3y=4x+2 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0
3 years ago
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