13-12x+7x <br> Ive been trying to find the answer but i cant seem to do it right

Write an equation that is parallel to 3x-2y=14 and passes through point (-6,-11)

Allisa [31]

y = ( $\frac{3}{2}$ )x -2 is the equation of the required line

Step-by-step explanation:

Step 1 :

Equation of the given line is 3x-2y=14

Re writing this in the form y = mx + c , we have

-2y = -3x +14

y = ( $\frac{3}{2}$ )x - 7

The co efficient of x , m is the slope of the line. So for the given line the slope is $\frac{3}{2}$

Step 2 :

We have to find equation of a line which is parallel to this line. All parallel lines will have the same slope. Hence the required line has a slope of $\frac{3}{2}$ .

Step 3 :

Equation of line with slope m and passing through a point ( $x_{1} ,y_{1}$ ) is

(y- $y_{1}$ ) = m((x- $x_{1}$ )

So equation of line passing through (-6,-11) and with a slope of $\frac{3}{2}$ is

(y-(-11)) = $\frac{3}{2}$ ( x - (-6))

y + 11 = $\frac{3}{2}$ ( x + 6)

y = ( $\frac{3}{2}$ )x + 9 - 11

y = ( $\frac{3}{2}$ )x -2

Step 4 :

Answer :

y = ( $\frac{3}{2}$ )x -2 is the required equation

5 0

3 years ago

Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blo

givi [52]

Answer:

Step-by-step explanation:

As shown in the figure attached Jaxon is 10 blocks east and 5 blocks north.

So x-coordinates of Jaxon will be 10 units and y-coordinates will be 5 units.

and coordinates will be (10,5)

Similarly coordinates of Isaac will be defined by his distance towards west and distance towards south.

So x-coordinates will be 8 units and y-coordinates will be 15 units.

Therefore, coordinates of Isaac will be (-8,-15).

4 0

3 years ago

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Andre was trying to write 7^4/7^-3 with a single exponent and write 7^4/7^-3= 7^4-3=7^1 Exploit to Andre what his mistake was an

Readme [11.4K]

$\frac{7^4}{7^{-3}}=7^7$

Here, we want to get what Andre's mistake was and correct it

To answer this, we are supposed to use the division law of indices

We have this as;

$\frac{a^x}{a^y\text{ }}=a^{x-y}$

Now, in the case of this question, x is 4 and y is -3

So, we have the expression as;

$7^{4-(-3)}=7^{4+3}=7^7$

His mistake is thus adding the exponents instead of subtracting

3 0

1 year ago

A jet leaves Reno, Nevada and is headed toward Miami, Florida at a bearing of 100°. The distance between the two cities is appro

Likurg_2 [28]

So hmm, if you notice the picture below

"y" would be the opposite to the 10° angle, and "x" would its adjacent

Reno is "y" north and "x" west from Miami

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(10^o)=\cfrac{y}{2472}$ solve for "y", to see how much north

and $\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(10^o)=\cfrac{x}{2472}$ solve for "x" to see how much west

make sure, that in both cases, your calculator is in Degree mode, since the angle is in degrees, as opposed to Radian mode

now... for the section B)

if notice the Reno-Miami line, and you were to draw a North line through it, anywhere in between, or at an endpoint like the in the picture at Reno, the "clockwise" angle, will always be the same, 100°

bear in mind ( no pun intended ), that Bearings use the North line, and the clockwise angle from it, as in the picture below

5 0

3 years ago

Which Transformation is a isometry?

Eddi Din [679]

Answer:

C, the two rounded rectangles

Step-by-step explanation:

Isometry can be divided into two words: iso = same and metry = measure

So, isometry means "same measure".

In this case, that means the transformation didn't change the measures of the object.

In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.

6 0

3 years ago

Read 2 more answers

13-12x+7x Ive been trying to find the answer but i cant seem to do it right