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Softa [21]
3 years ago
9

(Please help I suck at geometry!) Write an equation of a line perpendicular to line AB below in slope-intercept form that passes

through the point (7, 6). Line AB is shown. A is at 0, 1. B is at negative 2, 5. (6 points) y = 0.5x + 2.5 y = 0.5x − 2.5 y = −2x + 20 y = 2x − 20
Mathematics
2 answers:
solmaris [256]3 years ago
6 0

Answer:

y = 1/2x + 5/2

P.S, this isn't geometry really. It's more like algebra :)

Step-by-step explanation:

Step 1: Find equation of line AB

m = (5 - 1)/(-2 - 0)

m = 4/-2

m = -2

y = -2x + 1

Step 2: Find slope of perpendicular line

<em>Take the negative reciprocal of line AB</em>

m = 1/2

y = 1/2x + b

Step 3: Find <em>b</em>

6 = 1/2(7) + b

6 = 7/2 + b

b = 5/2

Step 4: Rewrite perpendicular equation

y = 1/2x + 5/2

or

y = 0.5x + 2.5

Vikki [24]3 years ago
3 0

Answer:

y = 1/2x + 5/2 or y = 0.5x + 2.5

Step-by-step explanation:

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Which algebraic properties was applied to the expression a + (b + c) = (a + b) + c?
andrew11 [14]

Answer:

the Associative Property

Step-by-step explanation:

Notice that the ORDER doesn't change -- a, b, c on both sides.  But the GROUPING changes.

Example:

3 + (4 + 5) = (3 + 4) + 5

3 + 9 = 7 + 5

12 = 12

Subtraction does NOT behave this way!

8 - (7 - 1) = 8 - 6 = 2

(8 - 7) - 1 = 1 - 1 = 0

It matters who you associate with!  :-)

5 0
3 years ago
Write and solve a proportion to answer the question.
Reptile [31]

Answer:

48

Step-by-step explanation:

p/100×25=12

p/4=12

(p/4)×4=12×4

p=48

I hope this makes sense

8 0
3 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is
aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0
3 years ago
Select the correct inequality for the graph given
Kaylis [27]

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

4 0
3 years ago
Robert says the expression 2+3 times 7 and 2+(3 times 7) have the same value. Is Robert correct? Explain your answer and evaluat
erastovalidia [21]
Yes because you multiply first so in this case you multiply 7 and 3 first. Since the second expression is in parenthesis you do that first just like you do 7 times 3. Then you just add 2 to that. The value of both expressions is 23
4 0
3 years ago
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