All categories

3 years ago

Help solve this please

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

a) 2

b) - $\frac{1}{2}$

c) y = 2x + 1

Step-by-step explanation:

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

Parallel lines have the same slope so.... a parallel slope is 2

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

To find a perpendicular slope flip the slope and change the sign : - $\frac{1}{2}$

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4, parellel slope : 2

Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
Calculate the product: 3 = 2 + b
Move the variable to the left-hand side and change its sign: -x = 2 - 3

Calculate the difference and change the signs : b = 1

Use the slope and y-intersept (b) to write the new line : y = 2x + 4

You might be interested in

AB = x + 8

vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0

3 years ago

(((click on the image to see it all))))<br><br>I need the answers to number 2 and 4 asap

Digiron [165]

Answer:

2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space

4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...

3 0

2 years ago

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

8 0

3 years ago

the observation of an underground data in their ascending order are 12,15,X,19,28. if the median of the data is 18 find the valu

Annette [7]

Answer:

The value of x = 18

Step-by-step explanation:

Given the data set

$12,15,x,19,28$

Given that the median of the data is 18.

We know that the median is the middle number in a data set when the data points are in ascending order.

As the given data is already in ascending order.

Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.

As 'x' is the middle number, thus it represents the median value.

Therefore, the value of x = 18

3 0

2 years ago

X = {(2, 3), (2, 4), (2, 5), (2, 6)} is x a function and why? no, each ordered pair in this list has the same first element. yes

Vesnalui [34]

For every input, there is one output
for every x there is one y
(x,y)

if x repeats with a differnt y, it's not a function
we see
(2,3) and (2,4) and all of them

no, not a function
<span>no, each ordered pair in this list has the same first element
answer is first one
</span>

6 0

2 years ago