Answer:
x = 15
y = 21
Step-by-step explanation:
*triangle sum theorem*
(6x - 11)° + (81)° + (x + 5)° = 180°
(7x - 6)° + (81)° = 180°
(7x)° + (75)° = 180°
(7x)° = (105)°
x = 15
________________
*vertical angle theorem* *triangle sum theorem*
(6x - 11)° + (4y - 18)° + (y + 14)° = 180°
^
|
15
(79°) + (4y + y) + (14 - 18)°
_________________________
(79)° + (5y - 4)° = 180°
(5y)° + (75)° = 180°
(5y)° = 105°
y = 21
Given:
Area of a rectangle = 4 square meters
wight = 1/5 meter
find the length
Area of a rectangle = length * width
length = area / width
length = 4 m² ÷ 1/5 m
length = 4 m² * 5/1m
length = 20 m
length is 20 meters.
Area = 20 m * 1/5 m = 20 m² / 5 = 4m²
ANSWER
EXPLANATION
The given function is
We rewrite this function to obtain,
We now compare this function to
We have
This implies that,
The vertex is (2,-11).
The focus is
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line using the slope formula, . Substitute the x and y values of (0,0) and (5,2) into the formula and simplify like so:
So, the slope is .
2) Now, use the point-slope formula to write the equation of the line. Using the point-slope formula , substitute values for , , and .
Since represents the slope, substitute in its place. Since and represent the x and y values of a point the line intersects, we can substitute the x and y values of one of the given points (I chose (0,0)) into the formula as well. Then, isolate y to put in slope-intercept form:
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.