Answer:
X<-5
Step-by-step explanation:
1) open the brackets
2) take -35 to the other side with -10
where it turns to be -5X<-10+35
3) work out to find -5X<25
4) divide both sides by -5
to find X<-5
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
where, (h,k) is center and r is the radius.
Now, put x=2.
Taking square root on both sides.
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
9514 1404 393
Answer:
31
Step-by-step explanation:
The fractional part of the given number is 0.4829, which is less than 0.5. That means the nearest integer is the integer below the given number:
31
Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.
1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x
2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2
The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.
Hope this helps!
9514 1404 393
Answer:
2000
Step-by-step explanation:
Expanded form:
80 × (20 + 5)
Partial products:
80 × 20 = 1600
80 × 5 = 400
Sum of partial products: 1600 + 400 = 2000.