Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

1 year ago

[Problem Solving 2] *

Ksenya-84 [330]

Answer:

5

Step-by-step explanation:

each daughter has 2 sisters and 2 brothers but each son had 1 brother and 3 sisters

7 0

3 years ago

Read 2 more answers

Solve each system using elimination. 3x+3y=27 x-3y=-11

Natalija [7]

Answer:

x=4

y=10

Step-by-step explanation:

3x +3y = 27

x - 3y = -11 (add these up so 3y will be eliminated and you'll have x only)

4x = 16

now let's eliminate x (you can put 4 instead of x though)

3x + 3y = 27

-3/ x -3y= -11 (multiple the the 2nd equation with -3 to eliminate x )

3x + 3y =27

-3x + 3y =33

6y = 60

8 0

3 years ago

Can someone help me right now!!!!!????

Dmitrij [34]

You will want to check B, E, and F. Hope this helps!

3 0

3 years ago

*WILL GIVE BRAINLIST TO WHO EVER IS RIGHT!*

Scorpion4ik [409]

Answer:g(X)=2x^2-10

Step-by-step explanation:

If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

g(x)=f(x)-2

=2x^2-8-2

=2x^2-10

8 0

2 years ago