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2 years ago

If 2x - 5y – 7 = 0 is perpendicular to the line ax - y - 3 = 0 what is the value of a ?

Mathematics

1 answer:

faltersainse [42]2 years ago

6 0

Answer:

D) a = - 5/2

Step-by-step explanation:

2x -5y - 7 = 0

5y = 2x - 7

y = 2/5 x - 7

the slope of this line is therefore 2/5 (factor of x).

the perpendicular slope is then (exchange y and x and flip the sign) -5/2, which is then a and the factor of x.

You might be interested in

How many times does 27 go into 890

Luba_88 [7]

32.96, to get this answer, you have the divide 890 by 27

5 0

2 years ago

Explain how you know whether to add or subtract when you use the distributive property to multiply?

Anettt [7]

Answer: You must see if it is a distributive property of multiplication over addition or a distributive property of multiplication over subtration.

Step-by-step explanation:

You can find two kind of expressions in this property:

- Distributive property of multiplication over addition: When you mulitply a sum by a number. For example:

$a(b+c)=ab+ac$

- Distributive property of multiplication over subtration: When you mulitply a subtration expression by a number. For example:

$a(b-c)=ab-ac$

6 0

3 years ago

Read 2 more answers

Least to greatest<br> 3/4,5/8,3/7,1/3,2/5

tangare [24]

Answer:

1/3 < 2/5 < 3/7 < 5/8 < 3/4

Step-by-step explanation:

Using the given inputs:

3/4 5/8 3/7 1/3 2/5

The least common denominator (LCD) is: 840.

Rewriting as equivalent fractions with the LCD:

3/4= 630/840

5/8= 525/840

3/7= 360/840

1/3= 280/840

2/5= 336/840

Sorting this by the numerators of the equivalent fractions in order from least to greatest:

1/3= 280/840= < 2/5= 336/840= < 3/7= 360/840= < 5/8= 525/840= < 3/4 = 630/840

Therefore, the sorted inputs in order from least to greatest is:

1/3 < 2/5 < 3/7 < 5/8 < 3/4

Hopes this helps!

Have a good evening! :)

5 0

3 years ago

What are a, b, c and d

GuDViN [60]

Answer:

Step-by-step explanation:

4 g.

c=42

a=b=d

a+b+42=180

a+a=180-42

2a=138

a=138/2=69

a=69

b=69

c=42

d=69

5a.

a=30

angle O=180-(a+30)=180-(30+30)=180-60=120°

d=80

angle O=180-(d+80))=180-(80+80)=180-160=20°

central angle O of middle triangle=180-(120+20)=180-140=40°

b=c

b+c+40=180

b+b=180-40

2b=140

b=140/2=70

b=70°

c=70°

7 0

1 year ago

Solve for each system of equations by substitution or elimination.

Tems11 [23]

QUESTION 1

The given system of equations are:

$y=x^2+5x+1$

$y=x^2+2x+1$

We equate the two equations to get:

$x^2+5x+1 =x^2+2x+1$

$x^2 - {x}^{2} + 5x - 2x = 1 - 1$

$3x = 0$

$x = 0$

When x=0,

$y=0^2+2(0)+1 = 1$

The solution is (0,1)

QUESTION 2

The given equations are:

$y=x^2-2x - 1$

and

$y= -x^2-2x-1$

We equate both equations to get:

$x^2-2x - 1 = -x^2-2x-1$

Group similar terms,

$x^2 + {x}^{2} -2x + 2x= -1 + 1$

$2 {x}^{2} = 0$

$x = 0$

We put x=0 into any of the equations to find y.

$y= -0^2-2(0)-1 = - 1$

The solution is (0,-1).

QUESTION 3

The given equations are:

$y=x^2+2x+1$

and

$y=x^2+2x-1$

We equate both equations:

$x^2+2x+1 = x^2+2x-1$

Group similar terms:

$x^2 -x^2+2x = -1 - 1$

$0 = -2$

This is not true.

Hence the system has no solution.

6 0

2 years ago