The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
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Answer:
3m = -3
Step-by-step explanation:
2m−6=8m
Subtract 2m from each side
2m−6-2m=8m-2m
-6 = 6m
Divide by 6
-6/6 = 6m/6
-1 = m
3m = 3(-1) = -3
In this section, we discuss box-and-whisker plots and the five key values ... The key values are called a five-number summary, which consists of the minimum, first quartile, ... the set is put into increasing order, divides the data into two equal parts. ... First, we put the values in the data set into increasing order: 3, 5, 7, 8, 12, 13, ... The middle score for a set of data that has been arranged in order from least to ... A box-and-whisker plot shows the distribution of a set of data along a ... Quartiles are values that divide a set of data into four equal parts. ... Second Quartile ( designated Q2) also called the median or the 50th percentile (cuts data set in half ).
Answer:
Exterior angles are <4 and <6
Step-by-step explanation:
From the figure we can see a triangle and its some exterior angles.
Exterior angles means that angles on the out side.
<u>To find the exterior angles
</u>
From the figure we get exterior angles are,
<4 and <6
All the other angles <1, <3 and <5 are inside the triangle.
Therefore the correct answer is,
exterior angles are <4 and <6
Answer:
There are 4 liters- in a gallon. Why? Well because for a gallon to be completely filled you need 4 liters, nothing less, and nothing more.
