One of the legs of the obtuse isosceles △ABC and △DBE lie on the same line sharing vertex B without overlapping. The sides DE and AC intersect at point F, DC = 12 in, m∠BDF=m∠BCF=30°. Find AE and CE.
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Answers:

Pick whichever form you prefer.

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Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

Answer:

Lemons ( 27 ) = Cups ( 9 )

Cups ( 50) = Lemons (30)

Answer:

(2,2)

Step-by-step explanation:

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300

Answer:

the set of side lengths will be d

Answer:

The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.

Step-by-step explanation:

Firstly, make all ratios into units:

Let Ronny = 4 units, Doug = 5 units,

Ronald = 8 units, Total = $3723

4 units + 5 units + 8 units = 17 units

17 units = $3723

1 unit = $3723 ÷ 17

1 unit = $219

Given that 1 unit is equals to $219. Let find the amounts:

Ronny = 4 × 219 = $876

Doug = 5 × 219 = $1095

Ronald = 8 × 219 = $1752

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

9514 1404 393

Answer:

  f(x) = 2(x +2)^2(x -5)

Step-by-step explanation:

The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...

  f(x) = a(x +2)^2·(x -5)

The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...

  f(x) = 2(x +2)^2(x -5)

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

Answer:

24.49

Step-by-step explanation:

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

Answer:

B

Step-by-step explanation:

8575 + 1036 = 9611

9611 is the full payment

9611 / 48 months = 200.229

About $200 every month

The best estimate of each monthly payment that Silvia will make is given by: Option B: $200

The net payable amount is the sum of main amount to be paid + the amount of interest.

For this case, it is specified that:

Thus, we get:
Total payable amount by Silvia for car purchasing = $8575 + $1036 = $9,611

This payable amount is divided in 48 equal parts. The value of each part (the monthly payment amount by Silvia) is:

[tex]\dfrac{9611}{48} \approx 200 \: \rm dollars[/tex]

Thus, the best estimate of each monthly payment that Silvia will make is given by: Option B: $200

Learn more about division here:

https://brainly.com/question/26411682

Answer:

c r/ 3/5

Step-by-step explanation:

i think

Answer:

20 mph

Step-by-step explanation:

time = distance / speed

speed up stream = s - 4

speed down stream = s + 4

time up = time down

8 / (s - 4) = 12 / (s + 4)

cross multiply

8s + 32 = 12s - 48

subtract 8v from both sides

32 = 4s - 48

add 48 to both sides

80 = 4s

Divide both sides by 4

20 = s

20mph

Quadrant is a quarter of a coordinate plane

The location of angle t is in quadrant 3

The trigonometry equations are given as:

tan(t)>0 and cos(t)<0

The cosine of an angle is negative in the following quadrants

The cosine of an angle is positive in the following quadrants

The intersection of the above points is quadrant 3

This means that the angle is in quadrant 3

Hence, the true option is (D) III

Read more about quadrants at:

https://brainly.com/question/14450464

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

Answer:

0.85

Step-by-step explanation:

Answer:

first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]

Answer:

0

Step-by-step explanation:

Answer:

Your GPA would be 1.5 If you have 6 periods.

Step-by-step explanation:

A = 4 GPA Points

B = 3 GPA points

C = 2 GPA Points

D = 1 GPA Points

F = 0 GPA Points

With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F)  + 0 (F) assuming you have 6 periods which adds up to 9. You divide  by the number of periods (6) totaling to 1.5 GPA Points.

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

[tex]z = a + bi[/tex]

In which:

The argument is given by:

[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]

In this problem, the number is:

[tex]z = 4 + 3i[/tex]

Hence, [tex]a = 4, b = 3[/tex], and:

[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]

For more on the argument of a complex number, you can take a look at https://brainly.com/question/4569130