x intercept is 10 and y intercept is 3
Answer:
(10, 5)
Step-by-step explanation:
Starting coordinate : (9, 5)
x = 9 ; y = 5
Vertical distance (up and down) = y
Horizontal distance (left and right) = x
Movement to the right = positive
Movement to the left = negative
Hence, 1 unit moved to the right ; x + 1
Therefore ;
(9 + 1, 5)
= (10, 5)
Answer:
number of yellow marbles=62.
Step-by-step explanation:
It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.
Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.
Now, Total number of marbles= number of yellow marbles+number of blue marbles.
⇒73=x+5x+7
⇒73-7=6x
⇒66=6x
⇒x=11
Therefore, numberof blue marbles=x=11 and
number of yellow marbles=5x+7=5(11)+7=55+7=62.
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12