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andrew11 [14]
3 years ago
9

Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?

Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

13.25

Step-by-step explanation:

scoundrel [369]3 years ago
4 0

Answer:

2x + 8.7 = 64.9

Step-by-step explanation:

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Given a quadratic function in vertex form:
Alja [10]

Answer:

See below

Step-by-step explanation:

<u>Part A</u>

A vertical stretch takes place when a\cdot f(x) given that  |a| > 1

<u>Part B</u>

A vertical compression takes place when a\cdot f(x) given that 0 < |a| < 1

<u>Part C</u>

A vertical stretch is different than a horizontal compression:

  • In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
  • In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

<u>Part D</u>

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of a must be negative such that a\cdot f(x) as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

7 0
2 years ago
Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
Gre4nikov [31]

9514 1404 393

Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

3 0
2 years ago
Read 2 more answers
Greg and Heather each opened a savings account today. Greg opened his account with a starting amount of $330, and he is going to
cluponka [151]

Set up two equations:

Greg = 330 + 75X

Heather = 660 + 45x

Set them to equal and solve for x:

330 + 75x = 660 + 45x

Subtract 330 from both sides:

75x = 330 + 45x

Subtract 45x from both sides:

30x = 330

Divide both sides by 30:

x = 330 / 30

X = 11

11 months they will have the same amount saved.

6 0
3 years ago
Write a slope intercept equation for a line passing through the point (4,-2) that is parallel to the line 4x+5y=7. Then write a
LuckyWell [14K]

First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.

3 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Bingel [31]

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

5 0
2 years ago
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