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Kisachek [45]
3 years ago
14

lice walks along a road which can be modeled by the equation y=4x, where (0,0) represents her starting point. When she reaches a

certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (85,0). What was the point A where Alice turned?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0

Answer:

(5,20)

Step-by-step explanation:

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Which equation of a line passes through the points (3, −1) and (6, 1)?
Vaselesa [24]

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = \frac{y1-y2}{x1-x2}

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m =  (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm  Y = 2/3x - 3 is the answer.

4 0
3 years ago
Which of the following expressions describes the solution to -2x < -10
larisa [96]
The answer would be ×>5 because when u divide by a negative the sign will switch.
7 0
3 years ago
Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali
wariber [46]

Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

6 0
3 years ago
Read 2 more answers
If y=5x-3and 3x-y=-1, what is the value of y?<br> A. 7<br> B. -1<br> C. 2<br> D. -8
Genrish500 [490]
Ummm explain the question more but b seems to make the most sense
8 0
3 years ago
Somebody help plz how can i solve the following equations of 6v+3=21​
IrinaK [193]
21-3= 18 and 18 divided by 6 equals 3 so v=3
6 0
3 years ago
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