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3 years ago

Need help on number 16

Mathematics

2 answers:

muminat3 years ago

8 0

Answer:

A rectangle

Step-by-step explanation:

A rectangle is one kind of quadrilateral with four right angles. The definition of a rectangle is a shape with four sides and four right angles. This means each angle in a rectangle measures 90 degrees. Another property of a rectangle is that opposite sides are parallel to each other and equal in length.

docker41 [41]3 years ago

6 0

Answer:

A rectangle

Step-by-step explanation:

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Which statements about the system are true?

Kruka [31]

2 Answers:

B) The lines are parallel
C) The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

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Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

5 0

3 years ago

The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and

sergejj [24]

Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

5 0

2 years ago

For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c

Elan Coil [88]

Answer:

29) discriminant is positive

30) discriminant is 0

31) discriminant is negative

Step-by-step explanation:

the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.

In the graph of question number 29 we can see that the graph intersects the x axis at two points

so the equation has 2 solutions.

When the equation has two solution then the discriminant is positive

In the graph of question number 30 we can see that the graph intersects the x axis at only one point

so the equation has only 1 solution.

When the equation has only one solution then the discriminant is equal to 0

In the graph of question number 30 we can see that the graph does not intersects the x axis

so the equation has 2 imaginary solutions.

When the equation has two imaginary solutions then the discriminant is negative

3 0

3 years ago

Which statement about the cylinder are true? Select two options

shutvik [7]

Answer:

$\ur \: answer)$

Step-by-step explanation:

<h2>THE RÅDIÜS ØF THE CYLINDER IS</h2><h2> $\frac{1}{2} x \: units$ </h2>

THE HEIGHT OF CYLINDER IS 4X UNITS .

☞ÙR ÃÑSWER HØPE IT HELPS YOU ✌️

5 0

2 years ago

How do I solve this problem?

Brrunno [24]

A. x=the cost of one lunch. 60.25=5x+3(x-5.25)

b. 60.25=5x+3x-15.75 60.25+15.75=8x-15.75+15.75

76=8x 76/8=8x/8 9.50=x

A lunch is $9.50. If you are not sure, check my answers. Hope this helped.

8 0

3 years ago