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SVEN [57.7K]
3 years ago
7

Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.

Mathematics
2 answers:
artcher [175]3 years ago
5 0
The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

<span>a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.
</span>
Reil [10]3 years ago
3 0

Answer:

A C G

Step-by-step explanation:

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33, 25, 42, 25, 31, 37, 46,29,38<br>What is the first quartile of the data?​
NISA [10]
answer:
Step by step solution:
1) put the numbers in order:
25,25,29,31,33,37,38,42,46
2) find the median:
25,25,29,31,33,37,38,42,46
33
3) find the median of the first quartile:
25,25,29,31
25 and 29
25+29= 54
54/2
27
Q1= 27

6 0
3 years ago
How do you solve 3 x 3 1/3
Butoxors [25]

Answer:

10

Step-by-step explanation:

Turn 3 1/3 into an improper fraction.

(3*3) + 1 = 10/3    so 10/3 is the same as 3 1/3

Turn the 3 into an improper fraction of 3/1

Now multiply 10/3 * 3/1  multiplying straight across: 10*3/3*1=30/3=10

4 0
3 years ago
The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie
nikklg [1K]
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
6 0
3 years ago
Your mom suggested ten different choices for you to eat for lunch over the next week at school. How many different ways can you
Serggg [28]

Answer:

B. 252

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:

nCr=n!/r!(n-r)!

n= number of sample points: 10

r= number of sample points in each combination: 5

10C5= 10!/5!(10-5)!

10C5= 10!/5!*5!

10C5= 252

According to this, the answer is that you have 252 different ways to choose your school lunch.

5 0
3 years ago
Mona solved an equation incorrectly, as shown below:
CaHeK987 [17]
Mona subtracted 5 where she should have divided 5. If the equasion was. x+5=30 then she would have subtracted 5.
3 0
3 years ago
Read 2 more answers
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