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3 years ago

Solve each problem and decide which is the best of the choices given.

Mathematics

2 answers:

jarptica [38.1K]3 years ago

5 0

Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

distance = sqrt(73)

Nikitich [7]3 years ago

3 0

55 is the answer !!!!

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Last season, the Roswell Hornets outscored their opponents 5:2. If their opponents scored 28 points, how many points did the Hor

inn [45]

You have to divide 28 by two, then times the answer (14) by five, making it 70

5 0

3 years ago

An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction

irga5000 [103]

Answer:

0.0154

Step-by-step explanation:

a) #Possible experimental run=#Temp x #pres x #cat=3x5x6=90

b) #Possible experimental run=(Temp. lowest) x 2.pres x #cat=1x2x6=12

c) C="different catalyst is used on each run"

In the first, I can choice 6 of 6 catalysts, in the second 5 of 6,...

then: P(C) = 6/6 x 5/6 x 4/6 x 3/6 x 2/6 x 1/6 = 5/324 = 0.0154

3 0

3 years ago

Find vertex of: y=(x-4)(x+8)

ki77a [65]

Answer:

(-2,-36)

Step-by-step explanation:

$y=(x-4)(x+8)$

1) Find the zeros of the parabola

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

2) Find the x-coordinate of the vertex

To do this, we take the average of our zeros.

$\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2$

Therefore, the x-coordinate of the vertex is -2.

3) Find the y-coordinate of the vertex

Plug the x-coordinate back into the original equation

$y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36$

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

6 0

3 years ago

Which criterion can be used to prove ABC and ADC are congruent?

olya-2409 [2.1K]

Triangles have common side AC, and 2 adjacent to this side corresponding angles.
∠BAC=∠DCA, and
∠ACB=∠SAD.
So, triangles ABC and ADC are congruent by ASA.

8 0

3 years ago

a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes

viva [34]

So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.

tada

answer is 50

4 0

3 years ago