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svet-max [94.6K]
3 years ago
8

What is the equation for a slope -1 through the point (2,0)?

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

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Katherine is younger than Alexandra. Their ages are consecutive integers.
Serjik [45]

Using equations to solve the word problem, Katherine's age is 8 years

<h3>Word Problem</h3>

Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.

To solve this problem, we have to represent the problem using mathematical equations;

Let;

Katherine's age = x²

Alexandra = 5(x + 1)

Sum of their age = 109

5(x + 1) + x² = 109

5x + 5 + x² = 109

x² + 5x - 104 = 0

Solving for the equation; x = 8

Katherine's age is 8

Learn more on word problem here;

brainly.com/question/13818690

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7 0
1 year ago
"1.Provide the reasons for the proof.
adelina 88 [10]
Assuming you are given a picture of intersecting lines. 

Switch the reasons for b) and c) 
b) the angles form a linear pair , from the picture, so this is linear pair postulate
C) Then the measures add to 180, because they are supplementary. Defn of supplementary. 
E) you have divided both sides of the equation by 2; or multiplied by 1/2; multiplication property of equality 
F) definition of right angle 
G) definition of perpendicular 

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

5 0
2 years ago
What is the simplest form of the expression below?
sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }

Now:

\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta}  }\\=cot\theta cot\theta X tan\theta$  (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta

3 0
3 years ago
Read 2 more answers
A line passes through the points (1.4) and (2, 2). What is the equation of this line?
emmasim [6.3K]

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \frac{2-4}{2-1} = \frac{-2}{1} = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0
2 years ago
Read 2 more answers
Anyone wanna help me with this‍‍
Angelina_Jolie [31]

Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

8 0
3 years ago
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