Answer:
your slope is 6/13
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
13 because 27_ 14=13. and yah.
Answer:
Yes, it can
(6 * 7) - (6* 3)
Step-by-step explanation:
Here, we want to use the distributive property
As seen from above, the multiplication is right distributive over the subtraction
so we have it that;
6 * (7-3) = (6 * 7) - (6* 3)
Answer:
1231 ft
Step-by-step explanation:
Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.
The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.
Answer:
Option C is the answer.
Step-by-step explanation:
We have to find out the equation of a rational function having hole at x=5 and y-intercept at (0,7).
A. y = (x-5)/7x-35 = (x-5)/7(x-5) Here the numerator and denominator have the common factor (x-5) Therefore by
x - 5= 0
x = 5 which represents the hole at x=5 but the equation has no y-intercept.
B. In y = (7x-35)/(x-5)-1
Here 7(x-5)/(x-5) has the common factor (x-5) in numerator and denominator therefore for
x-5=0
x=5 is the hole
By division of 7(x-5)/(x-5) we get remainder 7 but there is already a shift of -1
therefore this equation has (7-1)=6 intercept on y-axis.
C. In y = (7x-35)/(x-5) again numerator and denominator have the common factor (x-5) = 0
or at x=5 the rational function has a hole.
When we divide numerator by denominator the remainder is 7 which is y- intercept is 7.
D. in y = (x-5)/(x-5) +7, x=5 is the hole.
When we divide common factors we get remainder 1 but there is already a shift of +7 so total intercept on y-axis is 1+7 = 8.
So Option C is the right answer.
