Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equation​ please help​

Answer:

b = c/3 + 2/3

Step-by-step explanation:

3b - 4/2 = c

the goal is to have b all by itself on one side of the equals sign.

start by moving the fraction over to where c is by adding.

3b = c + 4/2

adding -4/2 and +4/2 together makes it a 0 on the b side so there's no need to write anything in that space anymore.

Now 3b are next to each other which means they are multiplying. To move 3 we need to do the opposite (divide by 3 on both sides of the equal sign)

b = c/3 + 2/3

notice I divided both c and 4/2 by 3. 4/2 = 2 so I changed it to 2, then divided by 3

[tex]\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}[/tex]

Solution

[tex]\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}[/tex]

[tex]\sf{Here,}[/tex]

[tex]\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}[/tex]

[tex]\sf{Solving,}[/tex]

[tex]\:\:\:\implies\tt{\:\:2^{x+y}=16}[/tex]

[tex]\:\:\:\implies\tt{\:\:2^{x+y}=2^4}[/tex]

[tex]\:\:\:\implies\tt{\:\:x+y=4}[/tex]

[tex]\:\:\:\bf{\:\:x=4-y-----(i)}[/tex]

[tex]\sf{Solving,}[/tex]

[tex]\:\:\:\implies\tt{\:\:3^{x-y}=9}[/tex]

[tex]\:\:\:\implies\tt{\:\:3^{x-y}=3^2}[/tex]

[tex]\:\:\:\bf{\:\:x-y=2-----(ii)}[/tex]

[tex]\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}[/tex]

[tex]\:\:\:\implies\tt{\:\:4-y-y=2}[/tex]

[tex]\:\:\:\implies\tt{\:\:4-2y=2}[/tex]

[tex]\:\:\:\implies\tt{\:\:-2y=2-4}[/tex]

[tex]\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}[/tex]

[tex]\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}[/tex]

[tex]\:\:\:\bf{\:\:y = 1}[/tex]

[tex]\sf{Putting\:y = 1\:in\:(i),}[/tex]

[tex]\:\:\:\implies\tt{\:\:x=4-1}[/tex]

[tex]\:\:\:\bf{\:\:x = 3}[/tex]

[tex]\:\:[/tex]

Answer:

10.755

Step-by-step explanation:

10.755+10.755=21.51

Answer:

Step-by-step explanation:

a few examples

21 + 0.51

22 - 0.49

10.75 × 2

4.637^2

43.02 ÷ 2

etc....

Answer: Y=35x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mx + Ny represents the total score of M + N students.

Answer:

w + 8 ≥ -23

Step-by-step explanation:

Answer:

Drew = 92 pictures, Danielle = 26 pictures

Step-by-step explanation:

Amount of pictures Drew has = x

Amount of pictures Danielle has = y

First make a system of equations:

x + y = 118

x = 3y + 14

Then solve with substitution:

(3y + 14) + y = 118

4y = 104

y = 26

x + 26 = 118

x = 92

Answer:

Step-by-step explanation:

(1). ( - 3, - 1 )

(2). ( - 1, 3 )

(3). ( 2, 0 )

(4). ( 1, 0 )

Answer:

35

Step-by-step explanation:

3 1/2 x 10 =35

make 3 1/2 into an improper fraction: 3 x 2 + 1 = 7/2

make 10 into a fraction: 10/1

find the LCD (least common denominator) for each number:

10/1 = 20/2

7/2 = 7/2

20/2 x 7/2 = 70/2 = 35

:)

Answer:

35

Step-by-step explanation:

For 1 cup of flour, you make 10 muffins. Just by reading the problem, you see that the number of muffins, 10, is 10 times the number of cups of flour, 1.

For 3 1/2 cups of flour, you make 10 times that number muffins.

3 1/2 × 10 = 3.5 × 10 = 35

Answer: 35 muffins

You can also use a proportion.

1 cup flour is to 10 muffins as 3.5 cups flour is to x muffins.

1/10 = 3.5/x

Cross multiply:

1 × x = 10 × 3.5

x = 35

Answer: 35 muffins

Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1

so you start at -1 and go over 2 and up 1 and you woulld land on 2

so you would graph at (2,-1) i think

Answer:

C). -85 is correct answer

Step-by-step explanation:

This is a multiplication problem, so we can just multiply from left to right:

-8.5 x -5 = 42.5

42.5 x -2 = -85 (negative 85)

(Hope this helps can I pls have brainlist (crown)☺️)

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]

Answer:

a/2=3

We simplify the equation to the form, which is simple to understand  

a/2=3

We move all terms containing a to the left and all other terms to the right.  

+ 0.5a=+3

We simplify left and right side of the equation.  

+ 0.5a=+3

We divide both sides of the equation by 0.5 to get a.  

a=6

Answer:

hey there,

because of transversal line

Answer:

x= -2

TO MUCH STEPS

Answer

[tex]1)8(m -5 ) = 48 \\ 8m - 40 = 48 \\ 8m = 48 + 40 \\ 8m = 88 \\ \frac{8m}{8} = \frac{88}{8} \\ m = 11[/tex]

[tex]2)x + 7 = 13 \\ x = 13 - 7 \\ x = 6[/tex]

[tex]3)3h - 5 = 12 \\ 3h = 12 + 5 \\ 3h = 17 \\ \frac{3h}{3} = \frac{17}{3} \\ h = 5 \frac{2}{3} [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

m=11, x=6, h=5 2/3

Step-by-step explanation:

8(m-5) = 48

m-5 = 48/8 = 6

m = 6+5 = 11

m = 11

x + 7 = 13

x = 13-7 = 6

x = 6

3h - 5 = 12

3h = 12 + 5 = 17

h = 17/3 = 5 2/3 or 5.67

Answer:

56 + 8x

Step-by-step explanation:

8(7) + 8(x)

= 56 + 8x

Answer:

Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;

Step-by-step explanation:

Remember:

Answer:

Slope for...:

7: 1

8: -2

9: 12/0

10: 4/3

11: 2/-7

12: 0/4

13: -1/3

14: 5/9

15: 1/4

Hope this helps!

Answer:

1 is the answer.............

Answer:

b²ae

Step-by-step explanation:

Answer:

110˚

Subtract 70 from both sides. Thus, a 70˚ angle and a 110˚ angle are supplements of one another

Step-by-step explanation:

hope this helps if it does plz mark brainliest

Answer:

1/2 or 50%

Step-by-step explanation

Answer:

75%

Step-by-step explanation:

To find probability of one being red, do 1 minus probability of being black.

1/2*1/2=1/4

1-1/4=3/4

=75%

Answer:

SF = 2/5

Step-by-step explanation:

The side on figure A which has the 10 is between angles with one mark and 2

The side on figure B which has the 4 is between angles with one mark and 2

The scale factor is what we multiply 10 by to get 4

10 * SF = 4

Divide each side by 10

10 * SF /10= 4/1-

SF = 4/10

SF = 2/5

Answer:

z=55 degree

Step-by-step explanation:

because the sides are equal let say the numbers x

2x+70=180

2x=180-70

2x=110

x=55

branlist please