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pentagon [3]
3 years ago
11

A bowl of grapes has a total mass of 265 grams the bowl has a mass of 121 grams

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
The mass of the grapes is 144g
Total mass: 265
Bowl mass: 121
265 - 121 = 144
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Write the equation of the line that is perpendicular to the line 5y=x−5 through the point (-1,0).
Artemon [7]

Hey there!

First, we want to put the equation of this first line in slope-intercept form.

5y=x-5

We divide both sides by 5.

y=1/5x-1.

The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.

So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.

y= -5x+b

Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.

0=-5(-1)+b

0=5+b

b= -5

So, this gives us the equation y= -5x-5

Have a wonderful day!

7 0
3 years ago
Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5.
VikaD [51]

Answer:

Step-by-step explanation:

In order to solve for x, she had to first subtract 6 on both sides of the equation.  Then divide by 5 on both sides of he equation.  After the division part, she was able to successfully isolate x.

The equation she had to solve was     (C)  5x+6=21

First step:  Subtracting 6 on both sides of equation resulted in

5x = 15

Second step:  Dividing both sides of the equation by 5 resulted in

x = 3

3 0
3 years ago
What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
KonstantinChe [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The required equation is ~

\boxed{ \sf{y =  \frac{x}{2} + 2 }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the slope of given line ~

  • y =  - 2x + 5

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

  • - 2 \times n =  - 1

  • n = \dfrac{ - 1}{ - 2}

  • n =  \dfrac{1}{2}

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

  • y - y_1 = m(x - x_ 1)

here, m = slope ~

  • y - 2 =  \dfrac{1}{2} (x - 0)

  • y - 2 =  \dfrac{x}{2}

  • y =  \dfrac{x}{2}  + 2

I hope it helps ~

4 0
2 years ago
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
saveliy_v [14]
The answer is x=4, y=-2 and the ordered pair would be (4,-2) good luck
8 0
3 years ago
Read 2 more answers
Assume that there is a 150 year old law in the statutes of your state which makes kissing in a public graveyard a crime punishab
pickupchik [31]

Answer: Natural law.

Step-by-step explanation:

Natural law this is a theory which is based on ethics and philosophy which states that human beings possess intrinsic values which guide our reasoning and behaviors. Natural law stands to maintain that these rules of right and wrong are inborn in people and are not created by the society or court judges. An example of Natural law is that it is bad to kill someone, and it’s is right to punish whoever kills someone.

in the example cited above it is morally wrong to kiss or furnicate in a cemetery ground and as such falls under the natural law cause our sense of judgment should come into play there.

6 0
3 years ago
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