y=mx+b is the equation of a line;
m=slope , b= y-intercept
You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))
In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.
m= 7/2 ; so we have : y= (7/2)x+b
We are give a set of points which it passes through, we can simply plug them in:
4 = (7/2)(0)+b (0 is the x and 4 is the y)
We get 4 = 0 +b .... 4=b
our final equation is : y=(7/2)x+4
a₁ = 4
n = 10
d = 3
a = a₁ + (n - 1)d
a₁₀ = 4 + (10 - 1)3
a₁₀ = 4 + (9)3
a₁₀ = 4 + 27
a₁₀ = 31
The 10th term would be 31 and the d variable will be replaced with the number 3.
Answer: Connect the two circles together using the compass.
Steps to inscribe an equilateral triangle into a circle:
1. You are given a circle with the center marked.
2. Draw a radius of the circle using your straightedge.
3. Keep your compass open to the width of the radius and place it on the point where the radius and circle intersect.
4. Swing an arc the length of the radius that intersects the circle to the left of the radius originally drawn.
5. Keeping your compass at the same width, place it on the new intersection point you created in the previous step.
6. Continue this process until six points of intersection exist on the circle.
7. Connect together the first, third, and fifth intersection points.
Answer:
-35, 1.25, 2, 2
Step-by-step explanation:
have a good day!
The cost of the jersey with a price of 89 Brazilian real in U.S. dollars is $25.230.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
1 dollar = 5.43 Brazilians real
137 Brazilian real = 137/5.43
= $25.230
Hence, The cost of the jersey is $25.230
Learn more about equation here:
brainly.com/question/2972832
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