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Art [367]
2 years ago
8

Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).

Mathematics
1 answer:
Sergio [31]2 years ago
6 0

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

y-56=4(x+5)

The slope-intercept form is:

y-y_1=m(x-x_1)

Comparing both equations we get

m = 4

y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

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Stan's cookie recipe makes 242424 cookies and calls for exactly 384384384 sprinkles. He is wondering how many sprinkles (p)(p)le
arlik [135]
If these numbers are correct:

For every 242,424 cookies he needs 384,384,384 sprinkles. So how many sprinkles does he need for 606,060 cookies?

242,424/384,384,384 = 606,060/x

384,384,384 * 606,060 = 242,424 * x

232,959,999,767,040 = 242,424 * x

960,960,960 = x
7 0
2 years ago
The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

  • n by 40 participants
  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

  • n by 15 doctors
  • k by 4 offices

We get:

\frac{ 15!}{ (15-4)! } = 32760

7 0
1 year ago
Read 2 more answers
Sasha is bisecting a segment. First, she places the compass on one endpoint, opens it to a width larger than half of the segment
FrozenT [24]

Answer:

A) Swing arcs on both sides to intersect the first two arcs created.

Step-by-step explanation:

Bisecting a segment is cutting a line into two equal parts with a line bisector.

The steps involved are;

  • Placing a compass on one endpoint
  • Opening the compass to a width larger than half of the segment
  • Swinging an arc on either side of the segment
  • While maintaining the same width, place the compass on the other endpoint
  • Swing arcs on both sides of the segment to intersect the first two arcs created
  • Using a ruler placed at the points of intersection of the arcs, draw the line bisector.

Sasha was now at step four.

7 0
2 years ago
Read 2 more answers
Ana wrote four statements to describe circle S. Statements: AB is a diameter. ST , SP and SQ are radii. SQ = 12 cm PQ = 12 cm Ar
wel

<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.

8 0
2 years ago
Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows h
kakasveta [241]

Answer: b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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