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Allisa [31]
3 years ago
11

Andrew walks along a road which can be modeled by the equation y=3x, where (0,0) represents his starting point. When he reaches

the point (12,36), he turns right, so that he is traveling perpendicular to the original road, until he stops at a point which is due east of his starting point (in other words, on the x-axis).
What is the point where Andrew stops?
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

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Which of the following sequences of transformation is used to obtain figure A’B’C’D’ from ABCD?
weeeeeb [17]

Answer:

Most likely (B)

Step-by-step explanation:

Points of ABCD:

A (3,1)

B (3,4)

C (5,5)

D (5,2)

The algebraic rule for reflecting across the y axis:

(x,y) ---> (-x, y)

Points of ABCD after being reflected: (shown by figure 2)

A (-3, 1)

B (-3, 4)

C (-5, 5)

D (-5, 2)

Then, the figure got translated two units to the left, resulting in figure F in the picture, and A’B’C’D’ in the question.

Points of ABCD after being translated by (x-2, y) : (shown by figure F)

A (-5, 1)

B (-5, 4)

C (-7, 5)

D (-7, 2)

This should be the coordinates of A’B’C’D’.

7 0
3 years ago
Would you solve the equation 0.25x + 7 = 1/3x – 8 <br> using fractions or decimals? Explain please.
mamaluj [8]

Answer:

x = 180

Step-by-step explanation:

Solve the value of x :

0.25x + 7 = \frac{1}{3}x - 8

-Combine \frac{1}{3}x and 0.25x by subtracting 0.25x by \frac{1}{3}x :

0.25x - \frac{1}{3}x  + 7 = \frac{1}{3}x - \frac{1}{3}x  - 8

-\frac{1}{12}x + 7 = -8

-Subtract 7 on both sides:

-\frac{1}{12}x + 7 - 7 = -8 - 7

-\frac{1}{12}x = -15

-Multiply both sides by -12, the reciprocal of -\frac{1}{12} :

\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}

x = -15 (-12)

x = 180

Therefore, the value of x is 180.

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3 years ago
Help plz:)))I’ll mark u Brainliest
noname [10]

Answer:

22-18-25,

19-24-30,

7-24-25

Step-by-step explanation:

In a triangle with side lengths a, b, and c, any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

22-18-25,

19-24-30,

7-24-25

7 0
3 years ago
Evaluate using the order of operations ( 8/9 - 1/3) x 2/3
Korvikt [17]
(8/9-3/9)*2/3=5/9*2/3=10/27
4 0
4 years ago
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harina [27]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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