Answer:
3. C
4. D
Step-by-step explanation:
3.
Once 
4.
A quadratic equation has no real roots when the discriminant (
) is negative. 
.
Let's try all the equations:
(A)
(B)
(C)
(D)
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Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ There are a total of 18 marbles.
In order to get 18, we have the ratio 2:1. 2 represents the blue marbles and 1 represents the red marbles. We now have 12 blue marbles in a box. 2 x 6 = 12 so we are multiplying by 6. What we do to one number, we do to the other so 1 x 6 = 6 . Add 12 + 6 = 18
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That converse theorem is
.. "If a line divides two sides of a triangle proportionally, then it is parallel to the third side."
Not a part of the theorem (or its proof) is
.. A. A perpendicular line to one side of a triangle.
_____
It seems you're supposed to remember that the theorem involves parallel lines, not perpendicular ones.
The width of the river = 60m and so Zachary will be able to swim the river without getting tired.
<h3>What is Proportion ?</h3>
When two ratios are equal , the ratio are said to be in proportion.
As given in the question ,
the width of the river has to be determined
Looking at the figure , the triangle formed at the side of the river is a right triangle the hypotenuse will be determined from the Pythagoras theorem
20² +24² = y²
y = 21.2 m
As the corresponding sides are proportional
31.2 : z = 20:50
z = 78.1
The value of the width of the river will be determined by the Pythagoras Theorem
78.1² = 50² + x²
x = 60m
the width of the river = 60m
Therefore Zachary will be able to swim the river without getting tired.
To know more about Proportion
brainly.com/question/2548537
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Answer:
The given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
Step-by-step explanation:
We are given the following information in the question:
Steve drove 300 miles in 5 hours.
After stopping for gas, he drove an additional 120 miles in 2 hours.
We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.
For direct variation, the equation is of the form y = kx that is , we can write,
To check the ratio:
Thus, the given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
