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Vikentia [17]
3 years ago
12

If it took sue 35 minutes to get to work, and 50 minutes to get home, how long did she spend travelling to and from work

Mathematics
1 answer:
Effectus [21]3 years ago
3 0
It took sue 85 minutes
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Explain why the equation 5丨x丨-7=7 has only one solution?
Rama09 [41]
The answer to this question that you have me would be 5|x|-7=7 will equal to x=2
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Answer Question number 5 <br><br>Plzzzz
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Step-by-step explanation:

Consider x⅓ =a

then the following expression can be written as

a²+a-2

a²+2a-a-2

a(a+2)-1(a+2)

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a= -2 or, a= 1

Putting the value of a

x⅓ = -2 and, x⅓ =1

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Describe the characteristics of a graph when systems of equations have infinitely many solutions
Ainat [17]

Answer:

Step-by-step explanation:

The easiest way to understand the answer is to consider two straight lines.

y = 3x + 6

and 2y = 6x + 12

When you graph these two lines, one will be on top of the other. That will give you an infinite number of solutions.

The answer does not depend on the two equations being straight lines. All that is required is that one graph sits on the other. So you could have a pair of  quadratics

y = x^2 + 3x + 10

2y = 2x^2 + 6x + 20

would also give you an infinite number of solutions.

4 0
3 years ago
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found usin
BaLLatris [955]

Answer:1) Since you have not provided the full question, I will work the quadratic expression that models the height of the paper airplane to find as much information as it gets.

2) Firstly, note that the quadratic function -2x^2 + 5x + 33 has these characteristics:

i) It is a parabola

ii) Since, the coefficient of x^2 is negative (-2) it opens downward and has a maximum, which indicates the maximum height of the airplane

iii) The, y-intercept, i.e. the y-value for x = 0, is the initial height of the ariplane, the height from which it was launched, and it is - 2 (0) + 5(0) + 33 = 33.

Then, the airplane was launched from a height of 33 units.

3) The vertex of the parabola is the maximum and it tells both the time to reach the maximum height and the value of that maximum.

4) You can easily find the vertex coordinates by completeing squares. This is how:

Start: -2x^2 + 5x + 33

Factor - 2 from the first two terms: - 2 (x^2 - 5/2x) + 33

Add and subtract the square of the half of x's coefficient:

- 2 ( x^2 - 5/2x + 25/16) + 25/8 + 33

Form the perfect square binomial: - 2 (x - 5/4)^2 + 289/8

By comparission with the vertex form of the equation of the parabola: A(x - h)² + k, the vertex is:

(h,k) = (5/4, 289/4) = (1.25, 36.125).

5) Then, the maximum height is 36.125 units, when the time is 1.25 seconds.

6) You can also find the time when the airplane lands on the ground by making -2x^2 + 5x + 33 = 0

For that you can factor the expression -2x^2 + 5x + 33

-2x^2 + 5x + 33 = - (x + 3) (2x - 11)

Equal to zero: - (x + 3)(2x - 11) = 0 ⇒ x = - 3 and x = 11/2 = 5.5.

That means that the airplane will land on the ground at 5.5 seconds.

7) You can also find the heights at different times, by just pluging in different values of x in the expression -2x^2 + 5x + 33.

7 0
3 years ago
Could someone help me write and equation and the soultion Will chose brainlest
EleoNora [17]

Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

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2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

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