You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.
If this were homework or a test, you'd get full credit only if you follow the directions given.
If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or m =-3. Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.
If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:
m = 14/7 = 2. Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.
Where do the 2 lines intersect? Set the 2 equations equal to one another and solve for x:
</span>y = -3x + 2 = y = 2x + 7. Then 5x = 5, and x=1.
Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.
That results in the point of intersection (2,9).
Doing this problem by graphing, on a calculator, produces a different result: (-1,5), which matches D.
I'd suggest you find and graph both lines yourself to verify this. If you want, see whether you can find the mistake in my calculations.
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way:
.
Parameter a presents initial amount.
Parameter r is percentage increase.
Parameter t is time.
An equation that would describe given problem is:
t is the time in years.
I attached the graph of this function.
The arrangement of the apples in the stack is in a sequence that can be
used to find the number of apples in each row and in the stack.
Correct response:
- The number of apples in the stack are <u>85 apples</u>
<h3>How to find the sum of a sequence</h3>
The given parameters are;
Dimensions of apples in the rectangular base = 7 apples by 5 apples
Number of apples on which each apple above rests = 4 apples
Required:
The number of apples in the stack.
Solution:
The dimensions, length and width of the apples in each row decreases
by 1 compared to the row on which the apple rests, as follows;
In the base, the dimension = 7 by 5
In the row directly above, the dimension = (7 - 1) by (5 - 1)
The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;
Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85
- The number of apples in the tack = <u>85 apples</u>
Learn more about sequence and series here:
brainly.com/question/13043887
