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Debora [2.8K]
3 years ago
5

Which graph represents a function with direct variation?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:

a direct variation means that the ratio of the variables is constant.as we know y=kxrepresents a family of straight lines passing through the origin.

Step-by-step explanation:

thisthis means as x increases y increases and aspects decreases y increases and the ratio between them always stayed the same

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The triangle below has an area of 75 units squared. Find the missing side.
Volgvan

Answer:

x = 15 units

Step-by-step explanation:

Here, base of triangle = x units & height = 19 units

Area( \triangle) =  \frac{1}{2}  \times base  \times height \\  \\ 75 =  \frac{1}{2}  \times x \times 10 \\  \\ 75 = x \times 5 \\  \\ x =  \frac{75}{5}  \\  \\ \huge \purple{ \boxed{ x = 15 \: units}}

5 0
3 years ago
Click on the correct answer.
Margaret [11]

Answer:

A

Step-by-step explanation:

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6 0
2 years ago
Which shows a correct order to solve this story problem? Kent and Curtis went to the state fair. They had to pay a total of $7.1
KiRa [710]
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:

S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people

We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:

Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer

Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.

Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
6 0
3 years ago
HELP PLEASE!
olasank [31]

Answer        

Find out the Area of a triangle .

To proof  

Formula

Area of Triangle

= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))

Solving the above

= \frac{1}{2}(3\times4+3\times-8 -2\times4)

=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of  a triangle is 10 units ²

Hence proved

6 0
3 years ago
If a canoe travels with a speed of A mph for 3 hours, and then with a speed of B mph for the rest of the journey, how long does
Mandarinka [93]

Answer:

t = (C - 3*A)/B + 3

Step-by-step explanation:

Given in the question that,

the speed with which canoe travelled for first 3 hours = A

the speed with which he travelled for any and all time thereafter = B

As we do not know the values of A, B, or C, so the answer will be an expression for C in terms of A and B.

<h3>Formula to use</h3>

distance = speed x time

C = A*3 + B*(t-3)

Rearranging and solving for t

C - (A*3) = B*(t-3)

C - (A*3) = Bt - B3

C - (A*3) + B3 = Bt

t = C - (A*3) + B3 / B

or

t = (C - 3*A)/B + 3

4 0
2 years ago
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