Equation fo a circle:
Data:
Center: C(x₀,y₀).
radius: r
(x-x₀)²+(y-y₀)²=r²
In this equation:
(x+4)²+(y-6)²=25
C(-4,6)
r²=25 ⇒r=√25=5
Then, it´s radius is 5.
If, we have got two points:
A(x₁,y₁)
B(x₂,y₂)
The distance beetween the points is:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²]
Then:
A(-6,7)
B(-1,-5)
dist(A,B)=√[(-1+6)²+(-5-7)²]
dist (A,B)=√(5²+12²)
dist (A,B)=√(25+144)
dist (A,B)=√169
dist (A,B)=13
the distance between the points (-6,7) and (-1,-5) is 13.
Answer:
Identity- An equation that is true for all real numbers for which both sides are defined is called a(n) Identity
Step-by-step explanation:
10. 5c+4c+c=5+4+1 you get one because when have a unsolved variable it is automaticlly 1. so it solves out to be 5x1+4x1+1=10.
Correct histogram: top-right corner
Step-by-step explanation:
The picture is missing: find it in attachment.
A histogram is a type of plot representing data divided into classes. The classes can be represented using bars with same width: if so, the height of each bar is proportional to the number of data inside each class.
Here by looking at the table in the figure, we notice that:
- There are 3 data in the 800-899 class: 805, 805, 872
- There are 5 data in the 900-999 class: 910, 919, 923, 950, 989
- There are 8 data in the 1000-1099 class: 1004, 1010, 1020, 1051, 1056, 1085, 1094, 1098
- There are 6 data in the 1100-1199 class: 1108, 1128, 1133, 1150, 1150, 1187
- There 3 data in the 1200-1299 class: 1209, 1220, 1298
Therefore, the correct histogram representing the set of data is the histogram on the top-right corner, which has respectively columns of height 3, 5, 8, 6 and 3.
Learn more about histograms:
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9w + 45 = 126
Ivan earns $9 per week so we would write it as 9w
Add 45 to it because that is what he also saved
Then he spent those savings which was 126.
Now we can find how many weeks he was saving for.
First minus 45 from both sides
9w = 126 - 45 = 81
The divide both sides by 9
w = 9
Ivan has been saving for 9 weeks