You are given the X value, replace x with 2 in the first equation to solve for y:
y=2x +3
y = 2(2) +3
y = 4+3
y = 7
Now replace y with 7 and x iwth 2 in the second equation and solve for k:
y = -x +k
7 = -2 +k
Add 2 to both sides:
9 = k
so k = 9
The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.
K = 9
Answer:
Part--1:
We know that a equation in point-slope form is represented by:
<em> y-y1=m</em>
<em />
where m is the slope of the line and is a point through which the line passes.
<em />
<em> </em>
<em />
Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
(C)
fraction of the marbles now in the bag is blue.
<h3>
What is a fraction?</h3>
- A fraction is a portion of a whole or, more broadly, any number of equal parts.
- In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
- A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
- Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
To find what fraction of the marbles now in the bag is blue:
- Important information is that immediately before the last step blue marbles formed
from the marble in the bag. - That means that there were
blue and
other marbles, for some
. - When we double the number of blue marbles, there will be
blue and
other marbles. - Hence, blue marbles now form
all marbles in the bag.
Therefore, (C)
fraction of the marbles now in the bag is blue.
Know more about fractions here:
brainly.com/question/17220365
SPJ4
Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
The answer is true from s away from-