Answer:
y-intercept: (0, -0.7)
x-intercept: (-1.2, 0)
Step-by-step explanation:
- To find the x-intercept (x, 0) of a line substitute y by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the x-axis
- To find the y-intercept (0, y) of a line substitute x by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the y-axis
In the given figure
∵ The line intersects the y-axis at the point (0, -0.7)
∴ The point of intersection between the line and the y-axis is (0, -0.7)
→ By using the 2nd note above
∴ The y-intercept is (0, -0.7)
∵ The line intersects the x-axis at the point (-1.2, 0)
∴ The point of intersection between the line and the x-axis is (-1.2, 0)
→ By using the 1st note above
∴ The x-intercept is (-1.2, 0)
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
304 IN
Step-by-step explanation:
total inches needed for necklace : 38 x 5 = 190
total inches needed for necklace : 38 x 3 = 114
190 + 114 = 304 inches
Answer: 20 feet
Step-by-step explanation:
This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.
Solve with Pythagoras rule:
c² = a² + b²
c = hypotenuse
a= length
b = height
29² = 21² + b²
841 = 441 + b²
b² = 841 - 441
b² = 400
b = √400
b = 20 feet
Answer:
ABC=BCD wtdf
Step-by-step explanation:
