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krek1111 [17]
3 years ago
5

please help me to solve this word problems leading to quadratic equation: A girl is 6 years younger than her brother. the produc

t of their age is 135. find their ages.​
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

Brother is 70.5 and sister is 64.5

Step-by-step explanation:

you will need to set up a simple equation and give out variables.

Girls age = 6-x

Brother's age= x

the you will take those 2 and add them and place them equal to 135:

6-x+x=135

6-2x+6=135+6

The 6 cancels out

2x=141

2x/2=141/2

x=70.5

The brother's age would be 70.5 then and the girl's would be 64.5

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Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

  • First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
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Part D

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8 0
3 years ago
In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the dra
Feliz [49]

Answer:

\frac{15}{37.5}\ \frac{cm}{ft}

or

1.31:100

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

so

\frac{15}{37.5}\ \frac{cm}{ft}

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

1\ ft=30.48\ cm

Convert 15 cm to ft

divide by 30.48

15\ cm=15/30.48\ ft

substitute

\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}

or

1.31:100

That means

1.31 units in the drawing represent 100 units in the actual

5 0
3 years ago
What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)
tino4ka555 [31]

Answer:

x=7/2  x=7/3

Step-by-step explanation:

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3 years ago
kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receiv
Kamila [148]
She received $2
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8x2= 16
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6 0
3 years ago
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Identify which of the following is not equivalent to 2 3/4.
mezya [45]

The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.

<h3>Simplification of equivalent fractions</h3>

Simplification is a process that is used to make a fraction appear in its simplest forms.

The fraction given is = 2¾

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6 0
2 years ago
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