he vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?

Answers

Answer 1

Answer: .if a is positive, the parabola opens up or to the right.
if a is negative, the parabola opens down or to the left

A parabola is a curved-forming shape in a graph that describes many important figures like the relationship, the focus and the magnitude of the variables involved.

Answer 2

Answer:

Answer:

it moves down

Step-by-step explanation:

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two men start from 2 places 600km apart and travel towards each other, the first travelling 5km/h faster than the other. they meet after 8 hours. what is the speed of the fastest man? I know that this relates to the following formula; speed = distance/time, but don't understand how to resolve correctly

Answers

If they meet after 8 hours, then the sum of their average speeds is 600/8=75 km per hour. If one is 5 km per hour faster than the other, then if we set the speed of the slower man to x, we have:

2x+5=75

So:

2x=70

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The fastest man is 5 km per hour faster than the slower, so he travels 35 km per hour.

Mya and her 2 best friends have dinner at a restaurant. The billtotals $32, including tax. The friends leave an 18% tip and split
all costs equally. How much does each person pay?

Answers

Answer:16.6667

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

What is 35 rounded to the hundreds place

Answers

Answer:

350

Step-by-step explanation:

Answer:35

Step-by-step explanation:

A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (

Answers

The area of any rectangle is (length) x (width).
Your square is a rectangle, with length=width.

Using 1 inch = 2.54 centimeters, the square's area is

(8 x 2.54 cm) x (8 x 2.54 cm)

= (20.32 cm) x (20.32 cm) = 412.90⁺ cm²

Rounded to the nearest cm², it's 413 cm² .

A straight line has gradient m and passes through the points (0,-2). Find the two values for m for which the line is tangent to the curve y=x^2-2x 7. And for each value of m, find the coordinates of the points where the line touches the curve

Answers

Answer:

when m=2 or -2, the line is tangent to the curve at the points (2.7) and (0,7)

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

The curve is y=x^²-2x+7

The tangent has for equation: y=mx-2

Let's find the intersection of the tangent and the curve.

$mx-2=x^2-2x+7\n\nx^2+(-2-m)x+9=0\n\Delta=(-2-m)^2-4*9=m^2+4m-32\nThe\ point\ must\ be \ unique: \Delta=0\n\nm^2+4m-32=0\n\delta=4^2+4*32=144=12^2\n\nm=(-4-12)/(2) =-8\ or\ m=(-4+12)/(2) =4\n\nx^2+(-2-m)x+9=0\ and\ \Delta=0 = > x=(2+m)/(2) \n\nif\ m=-8\ then\ x=(2+(-8))/(2)=-3\ and\ y=mx-2=(-8)*(-3)-2=22\n\nif\ m=4\ then\ x=(2+4)/(2)=3\ and\ y=mx-2=4*3-2=10\n\n\nCoordinates\ of\ the\ points\ are (-3,22)\ and\ (3,10)\n$

Which of the following is not a name of a valid chemical formula? Select one:
a. carbon chloride
b. nitrogen monoxide
c. copper (II) carbonate
d. chloric acid

Answers

Among the compounds given, the one that is not valid is a. carbon chloride. a compound composed of non-metals should have prefixes that is related to the number of atoms of the elements present. In this case, the other cmopounds are considered valid but not A

The correct answer is: Option (a) Carbon Chloride

Explanation:
Carbon has four valence electrons; therefore, it would require 4 more electrons to become stable. Chlorine, however, has seven (7) valence electrons. So it would require only one electron to become stable. In this case, as in the name, carbon chloride, the word chloride refers to the compound that is stable, which in this case cannot be possible (as carbon requires 4 electrons, and chlorine only has 7). If chlorine had 4 valence electrons, then it would be possible. Hence, the correct option is (a) Carbon Chloride.

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