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Answer:
Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) = (x - 4)
Distribute into the terms inside the parenthesis:
y + 6 = + 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 = +5 - 6
The equation of the line in slope-intercept form is:
Answer:
Step-by-step explanation:
<u>Right Triangles</u>
A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.
Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.
We'll use the adjacent angle, and
Solving for c
Rationalizing
Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that
Solving for h
Rationalizing
Answer: b) (32,28)
Step-by-step explanation:
Let x be the number of polio individual doses and y be the number of each measles individual doses.
Then the number of polio vaccination = 44x
The number of measles vaccination multi-dose = 22x
According to the question,
Dividing 22 on equation (2) both sides, we gwt
Subtract (1) from (3), we get
Substitute x=32 in equation (1), we get
Hence, Dr. Potter gives 32 individual polio vaccination and 28 individual measles vaccinations .