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3 years ago

Which pair of lines are perpendicular

2 answers:

6 0

Two lines are perpendicular if their slopes multiply to -1. That means we have to look at each individual answer and see if the slopes multiply to -1.

y = 2x - 1 has a slope of 2

2y = -x + 3

y = -1/2x + 3 This has a slope of -1/2.

2 * -1/2 = -1.

Since the slopes of these lines multiply to -1, the answer is A. Since we have our answer, we don't have to do anything else.

Gnesinka [82]3 years ago

5 0

The answer is A. A perpendicular equation will have the opposite and reciprocal slope as the original equation.

Once converted to the slope-intercept form of y = mx+b, we find the two equations for A are y = 2x-1 and y = (-1/2)x + 3/2. The opposite reciprocal of the first equation's slope (m in the equation form given) is -1/2, which as you can see if the slope of the other equation.

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Twice a number increased by 8 is less than -4

stepladder [879]

Answer:

Twice a number : 2x

increased by : +

8 : 8

is equal to : =

the number : x

increased by : -

-4 : -4

The answer is 2x+8 < -4

5 0

3 years ago

Six times a number plus 7 is equal to 55. What is the number?

valkas [14]

Answer:

6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?

5 0

2 years ago

An ad for a laptop claims that the laptop weighs 10% less than its main competitor. If the competitor's laptop weighs 1.1 kilos,

lozanna [386]

C because its C your welcome

4 0

3 years ago

Read 2 more answers

Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch

Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30 (3).

Writing equations (1) and (3) in matrix form, we have

$\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]$

Using Cramer's rule to solve for x and y,

$x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

$y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0

3 years ago

Can someone please help?

Shalnov [3]

Answer:

c. 50

Step-by-step explanation:

count each full block and every block that is more than half full as 1 each, ignore every block that is less than half full.

I got exactly 50 using this method before looking at the available answers.

In multiple choice math problems try to ignore the possible answers until you have determined what you think it ought to be. If the answer you found is in the list you have more confidence you are right, if the answer you got is not in the list you know you did something wrong... just a hint :)

4 0

3 years ago