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Line d passes through points (3, 4) and (8, 10). Line e is perpendicular to d. What is the slope of line e?

Mashutka [201]

Answer:

The slope of line e is -5/6

Step-by-step explanation:

The slope of line d that passes through (3,4) and (8,10) is 6/5. To find the slope of a perpendicular line you simply change the sign and flip the numerator and denominator.

8 0

4 years ago

Write y=1/6x+4<br> In standard Form using Integers?

nexus9112 [7]

<span>y=1/6x +4 is already in standard form, but the coefficient 1/6 is not an integer. An integer number is not a fraction number or rational number, so in order we have a standard form with integers coefficients only, multiply each member of the equation by 6. that is 6y =x +24, and 4y = x + 16 is the final answerHope this helps. Let me know if you need additional help!</span>

4 0

4 years ago

Read 2 more answers

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogra

Naddika [18.5K]

Answer:

The answer is below

Step-by-step explanation:

Which statements are true about the parallelograms? Check all that apply.

The length of side MN is 2 units.

The length of side M'N' is 5 units.

The image is smaller than the pre-image.

Sides MQ and M'Q' both have the same slope, 1.

The scale factor is 2/5

a) The length of side MN is determined using the formula:

$|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-2)^2+(-2-(-2))^2}=\sqrt{2^2}=2\\ \\ |MN|=2$

The first option is correct

b) The length of side M'N' is determined using the formula:

$|M'N'|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(10-5)^2+(-5-(-5))^2}=\sqrt{5^2}=2\\ \\ |M'N'|=5$

The second option is correct

c) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q' , hence parallelogram M'N'P'Q' is bigger that parallelogram MNPQ. This means that The image is bigger than the pre-image.

The third option is wrong

d) The slopes are given as:

$Slope\ of\ MQ=\frac{Change\ in\ y}{Change\ in\ x}=\frac{1-2}{-3-(-2)} =1\\ \\Slope\ of\ M'Q'=\frac{Change\ in\ y}{Change\ in\ x}=\frac{3-5}{-7-(-5)} =1\\$

Option four is correct

e) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q', hence the scale factor is 5/2

Option 5 is wrong

6 0

3 years ago

Read 2 more answers

4 - 6x < 2(2x + 3)<br> Cómo resolver esta ecuación ?

laiz [17]

Answer:

$x>-\frac{1}{5}$

Step-by-step explanation:

This is an inequality ("<" -- less than sign). We can solve this as an equation solving process.

Remember the distributive property:

a(b+c) = ab + ac

This is important for right side of the equation.

Let's solve:

$4-6x$

So x is greater than -1/5. we can write:

$x>-\frac{1}{5}$

6 0

3 years ago

Laura's yard is in the shape of a square and a half-circle.

guajiro [1.7K]

The answer is, 402m.

Explanation)

A = pi(r)^2
A = pi(8.5)^2
A = 113
//
A = x^2
A = 17^2
A = 289

Now add these two values (289 & 113) together and you'd get 402.
Hopefully, I helped you out!

6 0

3 years ago