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inessss [21]
3 years ago
7

I’m confused about this question

Mathematics
1 answer:
arsen [322]3 years ago
7 0
Angle B is 102° bc 180-78=102 and if sides DB and BC are congruent, angles D and C must also be, so you can use the original 78 and divide by 2 to get 39° for angle C
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What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4
Ipatiy [6.2K]

Answer:

y= 7(x+5)^2 -4

The vertex form for a parabola is given by this expression:

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

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

Step-by-step explanation:

For this case we have the following function:

y= 7(x+5)^2 -4

And we need to take in count that the vertex form for a parabola is given by this expression:

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

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

4 0
3 years ago
Two assembly lines I and II have the same rate of defectives in their production of voltage regulators. Six regulators are sampl
Kamila [148]

Answer:

0.4546

Step-by-step explanation:

nCr = n!/(n-r)!r!

Number of ways of selecting the four defective voltage regulators from 12 =  12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)

12C4 =  495 ways

Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2

6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15

6C2 * 6C2 = 15*15 = 225 ways

Probability = Number of possible outcomes/ Number of total outcomes

Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546

4 0
3 years ago
What is the percent of change if the price changes from $150 to $100? Round to the nearest whole percent if necessary.
lisabon 2012 [21]

Answer:

Percentual change= 33.33% decrease

Step-by-step explanation:

Giving the following information:

Present value (PV)= $150

Future value (FV)= $100

<u>To calculate the percentual change, we need to use the following formula:</u>

Percentual change= [(PV - FV) / PV]*100

Percentual change= [(150 - 100) / 150]*1''

Percentual change= 0.3333*100

Percentual change= 33.33% decrease

4 0
3 years ago
Plz help area is 54in
BabaBlast [244]

Answer:

equation: a/.5b=h

h=9

Step-by-step explanation:

a=1/2bh

divide both sides by 1/2b to get h alone

a/.5b=h

a/.5b=h

54/0.5(12)=h

54/6=h

9=h

3 0
3 years ago
The dimensions of the rectangle below will be multiplied by 3. Hpw will the area be affected​
olasank [31]

Answer:

If both dimensions are being multiplied by three than the area will be 9 times the original.

If only one side is being multiplied by tree, the area will be 3 times the original

7 0
3 years ago
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