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3 years ago

What is the slope of a line perpendicular to the graph of the equation 5x-3y=2?

1 answer:

swat323 years ago

8 0

The 2 does not matter in this case because it does not affect the slope. We can simplify this question to get 5x-3y=0. Move the -3y to the right to get

5x=3y.

Divide by 3 to get:

5x/3=y

Therefore, the slope is 5/3. But to find the slope of the line perpendicular to it, you multiply by -1 and then reciprocate it. So, you get -3/5 as your slope. .

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A triangle has side lengths of 3 m, 5 m and 4 m. The triangle is enlarged so that the larger

kow [346]

Answer:

48 meters

Step-by-step explanation:

3*4 = 12

5*4 = 20

4*4 = 16

These are the sizes when the triangle enlarges with a scale factor of 4.

To find perimeter, you add the sides together

12+20+16 = 48

The perimeter is 48 meters

6 0

3 years ago

Read 2 more answers

Determinar el área de un hexágono que esta inscrito en una circunferencia de 4 unidades de radio

Dmitrij [34]

Answer:

espero y te sirva hay esta todo lo que necesitas

6 0

2 years ago

What is the equation of the line that passes through the point (-6, -6) and has a<br> slope of - 1/3

pickupchik [31]

Answer:

The equation of the line is $y = -\frac{1}{3}x - 8$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that $m = -\frac{1}{3}$

$y = -\frac{1}{3}x + b$

Through the point (-6, -6)

This means that when $x = -6, y = -6$ . So

$y = -\frac{1}{3}x + b$

$-6 = -\frac{1}{3}(-6) + b$

$b + 2 = -6$

$b = -8$

The equation of the line is $y = -\frac{1}{3}x - 8$

5 0

3 years ago

In the problem below, AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9. Is

Oksi-84 [34.3K]

Answer:

<em>When both the conditions hold true, F is prime.</em>

Step-by-step explanation:

AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.

+ CD

--------

1st condition, B and D are consecutive.

Adding B and D gives us F.

Possible values can be (F being the unit value after adding not considering the carry over):

B + D = F

1+2=3

2+3=5

3+4=7

4+5=9

5+6=1

6+7=3

7+8=5

8+9=7

Here F is not prime (because 9 is not prime).

Now, let us consider the 2nd condition as well.

i.e. C = 8

For the following

+ CD

--------

C is 8 then A must be 1 because any value other than 1 for A will make the sum of A and C greater than 9 and there will be a carry which is not the case here.

So, E = 8 + 1 = 9

Now, B and D are consecutive and can not be 1, 8 or 9.

So, possible values are:

B + D = F

2 + 3 = 5

3 + 4 = 7

Here F is prime.

So, when both the conditions hold true, F is prime.

3 0

2 years ago

Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x

kolbaska11 [484]

4x - 2x + 8 = 6(x + 4) Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4) Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24 Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24 Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16 Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4 Division Property of Equality

4 0

3 years ago