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3 years ago

The straight lines passing through these pairs of points (2, 5) and (4, 7) ,(−4, 2) and (1, 7) are,

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

Answer:

B. Perpendicular

Step-by-step explanation:

This is the short version.

Hope this helps!

Taya2010 [7]3 years ago

5 0

Answer:

The line passes (2, 5) and (4, 7) has slope:

S = (7 - 5)/(4 - 2) = 2/2 = 1

The line passes (1, 7) and (-4, 2) has slope:

S = (2 - 7)/(-4 - 4) = 5/-5 = -1

The multiplication of two slope is 1 x (-1) = -1

=> Two lines are perpendicular

Hope this helps!

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The equation y = \large 1\frac{1}{2}x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Deter

Natasha2012 [34]

Answer:

$(1\frac{1}{2},1)$ - False

$(4,6)$ - True

$(18,12)$ -- False

$(0,0)$ -- True

$(2\frac{1}{2},3\frac{3}{4})$ -- True

Step-by-step explanation:

The points are

$(1\frac{1}{2},1)$ , $(4,6)$ , $(18,12)$ , $(0,0)$ and $(2\frac{1}{2},3\frac{3}{4})$ ---- missing from the question

Given

$y = 1\frac{1}{2}x$

Required

Determine if each of the points would be on $y = 1\frac{1}{2}x$

To do this, we simply substitute the value of x and of each point in $y = 1\frac{1}{2}x$ .

(a) $(1\frac{1}{2},1)$

In this case;

$x = 1\frac{1}{2}$ and $y = 1$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 1\frac{1}{2}$

$y = \frac{3}{2} * \frac{3}{2}$

$y = \frac{9}{4}$

$y = 2\frac{1}{4}$

The point $(1\frac{1}{2},1)$ won't be on the graph because the corresponding value of y for $x = 1\frac{1}{2}$ is $y = 2\frac{1}{4}$

(b) $(4,6)$

In this case;

$x = 4$

$y = 6$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 4$

$y = \frac{3}{2} * 4$

$y = \frac{3* 4}{2}$

$y = \frac{12}{2}$

$y = 6$

The point $(4,6)$ would be on the graph because the corresponding value of y for $x = 4$ is $y = 6$

(c) $(18,12)$

In this case:

$x = 18;y = 12$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 18$

$y = \frac{3}{2} * 18$

$y = \frac{3* 18}{2}$

$y = \frac{54}{2}$

$y = 27$

The point $(18,12)$ wouldn't be on the graph because the corresponding value of y for $x = 18$ is $y = 12$

(d) $(0,0)$

In this case;

$x =0; y = 0$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 0$

$y = 0$

The point $(0,0)$ would be on the graph because the corresponding value of y for $x = 0$ is $y = 0$

(e) $(2\frac{1}{2},3\frac{3}{4})$

In this case:

$x = 2\frac{1}{2}$ ; $y = 3\frac{3}{4}$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 2\frac{1}{2}$

$y = \frac{3}{2} * \frac{5}{2}$

$y = \frac{15}{4}$

$y = 3\frac{3}{4}$

The point $(2\frac{1}{2},3\frac{3}{4})$ would be on the graph because the corresponding value of y for $x = 2\frac{1}{2}$ is $y = 3\frac{3}{4}$

3 0

2 years ago

Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 9

Nimfa-mama [501]

Answer:

the answer is 445.5

Step-by-step explanation:

what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5

6 0

2 years ago

Write an explicit formula for an, the nth term of the sequence 19,24,29

o-na [289]

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

$a_1=19 ; \ a_n=a_{n-1}+5$

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: $a_1=First \ term ; \ a_n=a_{n-1}+d$

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

$a_1=19 ; \ a_n=a_{n-1}+5$

3 0

3 years ago

NEEEEEEDDDDD HELP ASAP

mash [69]

The correct answer is that there is more variability in the heights of the volleyball team members.

The mean absolute deviation shows us how spread out the data is, so the larger the mean absolute deviation the higher the variability.

Both teams have players that are 76 inches tall, so the last two statements cannot be true.

6 0

3 years ago

64 w^2 + 96w+36=0. What is the number of real solutions?

7nadin3 [17]

Answer:

w = -3/4 or -0.75

there is only one solution

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers