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Dafna11 [192]
3 years ago
8

The graph of the equation $x + 2y + 3 = 0$ is perpendicular to the graph of the equation $ax + 2y + 3 = 0$. What is the value of

$a$?
Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

a = -4.

Step-by-step explanation:

If the are perpendicular then the slope of one graph will be - 1 / slope of the other.

Convert each equation to slope-intercept form:

x + 2y + 3 = 0

2y = = -x - 3

y = (-1/2)x - 3/2 (Slope/intercept form)

So the slope of the line perpendicular to this  will be - 1 / (-1/2) = 2.

Consider the other line:

ax + 2y + 3 = 0

2y = -ax - 3

y = (-a/2) x - 3/2 (Slope/intercept form)

So the slope for this line    - a/2 and it equals 2.

-a/2 = 2

-a = 2*2 = 4

a = -4 (answer).

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Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the
Vladimir [108]
Ervin sells 13 cars per 3 months so 13/3=4.3 cars per month. 

this means that 

___month___     ___cars sold___

          1                         4.3
          2                     2*4.3
          3                     3*4.3
          :                           :
          n                     n*4.3

the linear function representing the cars sold per month is f(n)=4.3*n

(Practically, this means that the expected number of cars sold after n months is a whole number close to 4.3*n.)

Answer:

the slope is 4.3 (13/3)

7 0
3 years ago
You order a breakfast that costs $10.25 and a coffee that costs $3.45. You leave a 02% tip and the sales tax is 9.5%. What is th
Rasek [7]

Answer: the total cost of the meal is

$17.7415

Step-by-step explanation:

The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was

10.25 + 3.45 = $13.7

You leave a 20% tip. This means that the amount of tip that you left is

20/100 × 13.7 = 0.2 × 13.7 = $2.74

The sales tax is 9.5%. This means that the amount of sales tax that you paid is

9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015

Therefore, the total cost of the meal would be

13.7 + 2.74 + 1.3015 = $17.7415

7 0
3 years ago
9. Write the equation in standard form: 25x2 –16y2 = 400
mafiozo [28]

Answer:

25x^2 - 16y^2 - 400 = 0

Step-by-step explanation:

8 0
3 years ago
=
enyata [817]
Umm what? I don’t think i can answer this cause i can barely read it.
8 0
3 years ago
Can someone help me with this?
creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

  • m ∠ ADE = (x + 5)°
  • m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

#SPJ1

8 0
1 year ago
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