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3 years ago

Are the lines y=4 and x=-3 perpendicular

Mathematics

2 answers:

Rama09 [41]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

When you graph y=4 it is a horizontial line going straight forever. You would mark a dot on postive four on the y-axis. For x, do the same thing mark on the negative three on the x-axis. But this one will be vertical.

REMEMBER-

Although the x-axis is horizontial when there is no Y (x,y) it will be vertical. And it is opposite for the Y.

Ede4ka [16]3 years ago

6 0

Answer:

Yes, because y=5 will intersect the y axix (giving a horizontal line) and x =-3 will intersect the x axis (giving a vertical line). They will intersect at angle 90.

Step-by-step explanation:

Please gimme brainliest

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What is the equation of the line that passes through the points (-3,5) (6,8)

Ratling [72]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{6+3}\implies \cfrac{3}{9}\implies \cfrac{1}{3}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5=\cfrac{1}{3}(x+3)\implies y-5=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+6$

6 0

2 years ago

What is the Oder of 7/10 7/8 7/12 7/9

Flauer [41]

Least to Greatest Order -

7/12, 7/10, 7/9, 7/8
(Least) (Greatest)

5 0

3 years ago

Read 2 more answers

Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)

vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

6 0

3 years ago

Solve the inequality 2ax-3<4x+5a for all possible values of the parameter a

olga_2 [115]

Answer:

Step-by-step explanation:

2ax−3<4x+5a

Step 1: Add -5a to both sides.

2ax−3+−5a<5a+4x+−5a

2ax−5a−3<4x

Step 2: Add 3 to both sides.

2ax−5a−3+3<4x+3

2ax−5a<4x+3

5 0

3 years ago

18 Andy flies from the UK to Japan.

kotykmax [81]

Answer:

Leila pays more than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

Now, to find Andy or Leila who pays more to fly from the UK to Australia.

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = $70140\div 140=\£501.$

His plane ticket costs = £501.

Now, adding both the cost of tickets:

$501+554=\£1055.$

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = $1860\times 0.62=\£1153.2$

Her plane ticket costs is £1153.2.

As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.

Thus, Leila pays more.

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0

3 years ago