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TEA [102]
3 years ago
15

Find the focus of the parabola whose vertex is at the origin and whose directrix is x = 3.

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

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An equal number of students from two Algebra 1 classes at Bozeman School were randomly selected and asked how many hours per wee
cricket20 [7]

Answer:

Largest Median: Same

Largest Range: Castro

Largest IQR: Castro

Step-by-step explanation:

With a box-and-whisker plot, the box represents the upper and lower quartiles, the vertical line inside the box represents the median, and the lines on either side of the box show the high and low of the range.

Largest Median: Medians are the same because the verticle line inside the boxes is at 7 for both

Largest Range: Ms Castro's Class- the lines on either side of the box for Ms Castro go from 1-10 while the other class only goes from 4-10.

Largest IQR (interquartile range) Ms. Castro's class: their IQR goes from 5-8 while the other class only goes from 6-8

6 0
3 years ago
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
The only solution to |r+3|=1 is -2? true or false
ikadub [295]
True! The absolute Value is just the value of the digit. -2+3=-1. The absolute value of -1 is 1. There is no other combination of numbers that would lead to this answer.
7 0
3 years ago
Read 2 more answers
The area of a rectangle court is 433.37 Square meters and the length of the court is 28.7 meters . What is width of the court?
Eduardwww [97]

Answer:

w=15.1m

Step-by-step explanation:

l=28.7

A=433.37

7 0
3 years ago
A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and
Amanda [17]
Given:
descends at a rate of 320 feet per minute for 3 minutes.

320 feet per minute * 3 minutes = 960 feet

Total change in altitude is 960 feet. Since it is descending, I believe it would be a negative 960 feet.
6 0
3 years ago
Read 2 more answers
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