Answer:
65m^5n³
Step-by-step explanation:
(13m³n¹)(5m²n²)
GROUP LIKE TERMS
(13×5)(m³+²)(n¹+²) <Remember to use exponential laws
65m^5n³
Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

Answer:
relationship between base and perpendicular is given by tan angle
tan ?=perpendicular./base
tan?=5/16
?=tan-¹(5/16)=17.35=17
Answer:
4
Step-by-step explanation:
Answer:
The x-intercept would be 9 and the y-intercept would be -18/5
Step-by-step explanation:
In order to find this we need to first find the slope. To do that we use the two points and the slope equation.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -6)/(4 - -6)
m = 4/10
m = 2/5
Now that we have the slope, we can use that and either point to find the equation of the line in standard form.
y - y1 = m(x - x1)
y + 6 = 2/5(x + 6)
y + 6 = 2/5x + 12/5
-2/5x + y + 6 = 12/5
-2/5x + y = -18/5
-2x + 5y = -18
Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.
-2x + 5y = -18
-2x + 5(0) = -18
-2x = -18
x = 9
Therefore the x intercept is 9.
We find the y-intercept by doing the opposite. We put a 0 in for x.
-2x + 5y = -18
-2(0) + 5y = -18
5y = -18
y = -18/5