Answer:
2. y = 7
3. x = 4
Step-by-step explanation:
Slope 0 is when the line is horizontal.. has a constant coordinate
(-5,7) lies on the line so the x-coordinate is 7
Equation: y = 7
A vertical line has all same x-coordinates.
Since (4,-2) is on the line, every point had x-coordinate of 4.
Equation: x = 5
Answer:
10,38,43
Step-by-step explanation:
n+4n-2+5n-7=91
10n=91+2+7
10n=100
n=10
4(10)-2=38
5(10)-7=43
if anything is unclear, ask freely.
Answer: y ≥ (3/5)*x - 3
Step-by-step explanation:
In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)
First, let's find the equation for this line:
y = a*x + b
the value of a is the slope and is equal to:
a = (0 - (-3))/(5 -0) = 3/5
and the value of b is the point where the line intersects the y-axis, in this case, b = -3
then our line is
y = (3/5)*x - 3
As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.
y ≥ (3/5)*x - 3
Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
Answer:
40/27
Step-by-step explanation:
convert mixed number into improper fraction
4/3×2/3×5×1/3
calculate the product
40/27
