Answer:
<h3><u>Part (a)</u></h3>
<u />
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
Given equation: 
Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:
- center = (0, 0)
- radius =
To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.
<h3><u>Part (b)</u></h3>
Given equation: 
Rearrange the given equation to make y the subject: 
Find two points on the line:
Plot the found points and draw a straight line through them.
The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.
To solve this algebraically, substitute into the equation of the circle to create a quadratic:
Now use the quadratic formula to solve for x:
To find the coordinates of the points of intersection, substitute the found values of x into
Therefore, the two points of intersection are:
Or as decimals to 2 d.p.:
(2.35, -0.85) and (-0.85, 2.35)
<h3>
Answer:</h3>
A: 6 ft²
B: 3 ft² is the area of each of the two congruent triangles
<h3>
Step-by-step explanation:</h3>
Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.
Area = (8 ft)·(3/4 ft) = 6 ft²
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Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)
triangle area = (6 ft²)/2 = 3 ft²
If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...
triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²
Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Hey Love!<3 It would be
A.8/10
Answer:
B and C
Step-by-step explanation:
they have -5x, it doesn't really matter on their order
Answer:
B
Step-by-step explanation:
Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.
For A.) (solve for y to get a y=mx + b equation)
3x-2y=4
-2y= -3x + 4
<u>y= 3/2 -2</u>
For B.)
3x-2y= -4
-2y= -4-3x
<u>y= 3/2 + 2</u>
For D.)
2x+3y= 4
3y= 4-2x
<u>y= -2/3x + 4/3</u>
Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!
