What is the equation of the line in point slope form given a slope of -12 and a point of (-4,
-5)?

Step-by-step explanation:

There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.

The corresponding angles in the first attachment are:

∠1 and  ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Corresponding angles have the same measure.

The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal.  In the first attachment, the same-side exterior angles are:

∠1  and ∠8

∠2 and ∠7

These angles are supplements of each other, meaning that the sum of their measure equal 180°.

Given parallel lines, m and n that are cut by a transversal, t.

The angle that has a measure of  ∠(10x + 5)° is a supplement of ∠(5x + 25)°.  In order to solve for the value of x, we must establish the following equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10x° + 5° + 5x° + 25° = 180°

Combine like terms:

15x° + 30° = 180°

Subtract 30 from both sides:

15x° + 30° - 30° = 180° - 30°

15x° =  150°

Divide both sides by 15:

15x°/15 = 150°/15

x = 10°

Verify whether we have correct value for x by substituting its value into the established equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10(10)° + 5° + 5(10)° + 25° = 180°

100° + 5° + 50° + 25° = 180°

180° = 180° (True statement).

Therefore, we have the correct value for x = 10°.

m∠(10x + 5)°  = 105°

m∠(5x + 25)° = 75°

Step-by-step explanation:

y = -5x/8 + 6

8y = 8 × (-5x/8 + 6)

8y = -5x + 42

5x + 8y = 42

5x + 8y = K, k element real

Option → D

The equation for parallel line is 5x + 8y = 32.

The correct option is (D).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Equation: y = -5/8x + 6

Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.

Then, writing the equation in slope intercept form

A) 8x + 5y = 10

5y= 10 - 8x

y= 10/5 - 8x/5

y= -8/5x + 2

B) 8x - 5y = 15

-5y= 15 - 8x

y= 8/5 x + 3

C) 8y - 5x = -24

8y= -24 + 5x

y= -24/8 +5/8x

y= +5/8x - 3

D) 5x + 8y = 32

8y= 32 -5x

y= -5/8x + 4

Hence, the equation for parallel line is 5x + 8y = 32.

Learn more about Slope here:

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Answer:

ax^2+bx=x(ax+b)

Please mark as brainliest

Step-by-step explanation:

Answer:

1 in=4 ft

5 in=20 ft

5 x 4=20 ft

1in =4 ft

8 in=32 ft

8 x 4=32 ft

A=L*W

A=32*20

A=640 SQUARE FEET

Step-by-step explanation:

GOOD LUCK

Answer:

2.67 is the answer

Step-by-step explanation:

tell me if i am rong

Answer:

0.5 < t < 3.5

Step-by-step explanation:

[Given] 64t-16t^2>28

[Rewrite] 64t - 16t² > 28

[Subtract 28 from both sides] 64t - 16t² - 28 > 0

[Reorder] - 16t² + 64t - 28 > 0

[Solve Using The Quadratic Formula] 0.5 < t < 3.5

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer : Quadrilateral

According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:

Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Learn more in https://brainly.com/question/24057012

Answer:

.....

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Set up an equation using slope intercept form.

y = mx + b

75 = 8x + 15

Solve.

75 = 8x + 15

-15          -15

60 = 8x

7.5

Round down as it is dealing with money and he would not have enough to purchase an 8th grocery.

7 is the final answer.

Hope this helps!

The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.

The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.

Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

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Answer:

y=-2

Step-by-step explanation:

4y=-2

y =-2

Answer:

Exact Form: y = − 1/2

Decimal Form: y = −0.5

Step-by-step explanation:

i am good at math that's all that needs to be explained

y=3x+6.

y=3x-5

I did it with a parallel line

Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Option A: (It's just that the y-intercept and slope are in different spots.)

Line in (y=mx+b) form is y = 2x + 4

Slooe is 2

y-intercept is 4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.

By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.

Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.

Hope this helps :)

Answer:

k = 2 cm

Step-by-step explanation:

3 x 15 x k = 90 cm^3

45 x k = 90 cm^3

k = 90/45 = 2 cm

Answer:

I pretty sure it is F.1cm

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

A similar problem is given at https://brainly.com/question/24507395

Answer:

i thig it is hj

Step-by-step explanation:

jk

Answer:

a) x2 = 10

b) x2 − 40 = 0

c) 3x2 − 600 = 0

d) x2 + 12 = 0

Answer:

[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]

[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]

[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]

[tex]\frac{-24a+36b-48c}{4}[/tex]

[tex]-6a+9b-12c[/tex]

[tex]-3(2a-3b+4c)[/tex]

So,

[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]

X = (-3)

Y = (-3)

Z = 4

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

U= 10 or 11 T=-4 or-3

Step-by-step explanation:

solved using substitution not sure what the formula method is

U+T=7

UT=12

U=12/t

12/t+t=7

12/t=7-t

12=7t-t^2

t^2+7t+12=0

(t+4)(t+3)

t=-4, -3

u-4=7

u=11

u-3=7

u=10

Answer:

3000

Step-by-step explanation:

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

Answer:

143880000 people have dogs and b.

Step-by-step explanation:

327,000,000 * .44(44 percent) = 143880000

the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.

Answer:

Step-by-step explanation:

3)

327 Million → 100%

x → 44%

100x = 44×327

100x = 14388

x = 14388/100

x = 143.88 Million people

4) D

I hope I've helped you.

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Answer:

my gosh, hirap kaya niyan, pareho lang ta u d alam sagot

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k