Solve for x to the NEAREST TENTH.

[tex]\stackrel{\textit{\Large line 1}}{(\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-3+4}{4}\implies \boxed{\cfrac{1}{4}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large line 2}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{1}}}\implies \cfrac{2+6}{-2}\implies \cfrac{8}{-2}\implies \boxed{-4}[/tex]

keeping in mind that parallel lines have exactly the same slope, let's check for the slopes hmmm nope, they're not equal, so the lines are not parallel.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slopes hmmm

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{1}\implies -4}}[/tex]

low and behold, Line 2 has a slope that is negative reciprocal to the slope of Line 1, thus, they're indeed perpendicular.

Answer:

ok so the equation will be

35d+28=203

-28

35d=175

divide by 35

d=5

she drove to work 5 times

Hope This Helps!!!

Answer:

  -2, 0

Step-by-step explanation:

The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...

  (-2, 0) and (0, 4)

The x-coordinates of these points are -2 and 0.

The solutions to f(x) = g(x) are x=-2 and x=0.

Answer:

The answer is -2 and 0

Step-by-step explanation:

it was confirmed to be correct

[tex]f(x) = 0[/tex]

[tex]solution = \\ x = 2 \\ x = - 4[/tex]

Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

x-2 = 0 → x = 2 put this value in polynomial

6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38

there is another way too. but it's longer. you can see it in picture.

Answer:

Did the quiz :)

Step-by-step explanation:

Answer:

15. 2m

17. 1.5m

Step-by-step explanation:

just square root it

Answer:

The answer is 2.5

Step-by-step explanation:

plus the sum of 1000

Answer:

3. 24

Step-by-step explanation:

It's 24 because the formula for that shape is base multiplied by height which base is 8 and height is 3 for 8*3 = 24.

Answer: 24 cm

Step-by-step explanation:

You multiply both sides to find the area. We can pretend if we could cut the left triangle off and add it to the right. Then 8x3= 24

Answer

x=37.8

Step-by-step explanation:

According to Pythagoras theorem

AB = 21.5

BC = 13.1

AC = ?

AC²= AB²+BC²

x² =(21.5)²+(13.1)²

x² =462.25+967.21

x² =1429.46

x =√1429.46

x =37.8

Answer:

See below.  (0.5,1.5)

Step-by-step explanation:

I can't make out most of the question.  What is:

5

4

3

2+

O

1

ㅇ [1]

( )

54 -3 -2 -11

X

1 2 3 4 5

?????

=====

I do see D(4-1) and C(-3,4).  The question asks what is the midpoint.  That would be point M, with a coordinate of (0.5,1.5), which is derived from the average of the two points:  x: (4-3)/2 = 0.5; y: (-1+4)/2) = 1.5

See the attached image for how the points relate to each other.  I derived an equation for the point to illustrate where the midpoint, M, is situated.

=============================

Slope = Rise/Run

Rise:   (-1 - 4) = -5

Run:    (4 - (-3)) =  7

Slope = -(5/7)

Equation for the line is y = -(5/7)x + 1.9

Answer:

x^2+16x+64=(x+8)^2

Step-by-step explanation:

For the first spot you find the perfect square of the equation

This is found by doing (1/2 16)^2

1/2 16 = 8

8^2 = 64

The second spot is factoring, where you would put half of 16 or the square root of 64

1/2 16 = 8

root 64 = 8

The difference between the maple and oak trees is the difference

between  [tex]28\frac{2}{6}[/tex]  and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.

Response:

The distance between the maple tree and the oak tree is option B.

B. 9 yards

The given parameters are;

Start → Maple tree → Oak tree → Pine tree → End

The distance from the start to the maple tree = 5 yards

The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards

Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards

Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards

Required:

The distance between the maple tree and the oak tree

Solution;

From the maple to the end, d is given as follows;

d = Maple tree to the end - Distance from the oak tree to the end

Oak to the end = Oak to pine + Pine to end

Therefore;

[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]

Which gives;

[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]

The distance from the maple to the oak tree = 9 yards

The correct option is; B. 9 yards

Learn more about fractions here:

https://brainly.com/question/26794609

Answer:

1 13 2 16 3 17 4 21

Step-by-step explanation:

i hope this helps

Answer:

Step-by-step explanation:

Fame age be x and sister's age = y

Five years ago:

Fame's age = x - 5

His sister's age = y -5

[tex]x -5 =\dfrac{1}{6}*(y-5)\\\\[/tex]

Multiply the entire equation by 6

[tex]6*(x-5)=6*\dfrac{1}{6}(y-5)\\[/tex]

6x- 6*5  = y-5

6x - 30 = y - 5

6x  -30 + 5 = y

y = 6x - 25--------------(I)

Three year after:

Fame's age = x + 3

His sister's age = y + 3

2*(x +3) = y + 3

2x + 6   = y + 3

2x + 6 -3 = y

y = 2x + 3 -------------(II)

Substitute y = 6x - 25 in equation (II)

6x - 25 = 2x + 3

Add 25 to both sides

6x  = 2x + 3 + 25

6x  = 2x + 28

Subtract 2x from both sides

6x - 2x = 28

       4x = 28

Divide both sides by 4

x = 28/4

x = 7

Substitute x = 7 in equation (I)

y =6x - 25

y = 6*7 - 25

  = 42 - 25

y = 17

Fame's age = 7 years

His sister's age = 17 years

4) Let the distance between X and Y be D

Time take by Wie = distance÷ speed

                             [tex]= \dfrac{D}{75}[/tex]

Time taken by Wary = distance ÷ speed

                                  [tex]=\dfrac{D}{80}[/tex]

Time difference = 10 minutes.

As Wary drives in high speed that Wie, he takes less time

[tex]\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\[/tex]

LcM = 1200

[tex]\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\[/tex]

D = 200 Km

Answer:

x = 7

Step-by-step explanation:

=> 9/72 = 3x-20/56

=> 9×45/72 = 3x-20

=> 27/3 = x

=> x = 7

The ratio of rise to run, which is the slope between the two points is: -1/4.

Slope = ratio of rise to run = change in y/change in x

Given the following points:

(-10, 9) and (6, 5)

Rise = (5 - 9) = -4

Run = (6 -(-10)) = 16

Ratio of rise to run = slope = -4/16 = -1/4.

Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.

Learn more about slope on:

https://brainly.com/question/3493733

Answer:

-1/4.

Step-by-step explanation:

Took the quiz and it was correct. Hope this helps.

Answer:

It is not true

Step-by-Step:

^ABC, m<A = 119 degrees.

In triangle ABC, side BC is longer and side AB shortest side.

Given that, in ΔABC, m∠A = 119° and m∠B = 49°.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Using angle sum property, we get

m∠A+m∠B+m∠C=180°

⇒ 119°+49°+m∠C=180°

⇒ m∠C=180°-168°

⇒ m∠C=12°

So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.

Therefore, in triangle ABC, side BC is longer and side AB shortest side.

To learn more about the triangle inequality theorem visit:

https://brainly.com/question/1163433.

#SPJ2

Answer:

06:56 AM =06:56 H

10:44 AM =10:44 H

10:32 AM =10:32 H

01:09 PM =13:09 H

07:00 AM =07:00 H

Step-by-step explanation:

p=1500

R=10%

t=20yrs

SI=PTR/100

=1500*10*20/100

=3000

amount(A)=P+I

=1500+3000

=4500

Answer:

64m/h

Step-by-step explanation:

t (time) = d (distance) /v (speed)

t = 281/4.41

t = 63.7

[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]

Answer:

no

Step-by-step explanation:

the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.

Answer:

19 terms

Step-by-step explanation:

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n

[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )

n(36 - 2n + 2) = 0

n(38 - 2n) = 0 ← distribute parenthesis on left side by n

38n - 2n² = 0 ← factor out 2n from each term on the left

2n(19 - n) = 0

equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

19 - n = 0 ⇒ n = 19

n > 0 , then number of terms is 19

Answer:

that is the correct answer

Answer:

One

Step-by-step explanation:

     Since we have a 90° angle and a 20° angle, the last angle must be 70°.

180° - 90° - 20° = 70°

     Now we also have the requirement of a 6-unit side between the 90° and 20° angles.

     With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.

Roses: 6

Daisies: 15 - 6

= 9

The ratio of all flowers to all rose flowers.

15:9

The ratio of roses to daisies.

6:9

2:3 (simplified)

Answer:

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

lets do (1.5, 3.6) and (2.5, 6)

(6 - 3.6) / (1.5 - 2.5)

put answer in comment and i will mark

please put brainest