Write the slope-intercept form of the equation of the line through the given point.
Through: (-4, -5) and (4, 2)

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°

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:

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 : Quadrilateral

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

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:

3000

Step-by-step explanation:

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:

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:

1 -66

2. 162

3.11/-2

4. 8/-11

5.12/0

6. 0

7. 15/14

8. 2/-5

Step-by-step explanation:

Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:

2y=2 - 10x

y= (-10x +2)÷ 2

y= -10/2x +2/2

y= -5x +1

The line has a slope of  -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:

-5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-5)

slope perpendicular line= 1/5

The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:

Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.

Learn more about perpendicular line:

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#SPJ1

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:

I pretty sure it is F.1cm

Answer:

x=33.5

Step-by-step explanation:

Step-by-step explanation:

work is shown and pictured

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:

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

y=3x+6.

y=3x-5

I did it with a parallel line

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:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

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:

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

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!

Answer:

In 2 hours

Step-by-step explanation:

10/3 8/2

10-6 = 4

6 from 3*2(aka the hours)

8-4 = 4 from 2*2(aka the hours)

you can also set this up like

10-3x=8-2x and solve for it

Answer: At the 2 hour mark.

Step-by-step explanation:

10-3=7. 7-3=4

8-2=6. 6-2=4

Answer:

x= 79°     y= 22°

Step-by-step explanation:

x is the same as 79

79+79= 158

180° in a triangle

180-158= 22°

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:

i thig it is hj

Step-by-step explanation:

jk