Answer:
The new graph has a steeper slope and a y-intercept of 8.
Step-by-step explanation:
From Analytical Geometry, we define a straight line by following first order polynomial (linear function):
(1)
Where:
- Independent variable.
- Dependent variable.
- y-Intercept.
- Slope.
And the slope represents the change in dependent variable (
) divided by the change in independent variable (
). That is:
If 
and 
, then the new line is steeper with respect to the original line.
Let 
, its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.
The answer to question 50 is A. 240 square feet
That diagram can be split into a right angled triangle of base 7 and of height 4 + 5.2 + 2 = 11.2, and a square of length of 5.2 So the are of the total shape is the area of the right angled triangle + the area of the square.
=
Please mark me as brainliest.
Answer:
Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2
Step-by-step explanation:
circle: (x + 1)² + (y - 5)² = 2
Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
