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bixtya [17]
3 years ago
8

Giving brainliest to CORRECT answer.

Mathematics
2 answers:
irina1246 [14]3 years ago
4 0

Answer:

graph A

Step-by-step explanation:

direction: opens up

vertex: (3,-16)

focus: (3,-64/4)

axis of symmetry: x=3

directrix: y= -64/4

x=1, y=-12

x=2, y= y=-15

x=3, y=-16

x=4, y=-15

x=5, y=-12

hope this helps :)

gavmur [86]3 years ago
3 0

Answer:

Graph A

Step-by-step explanation:

y =  {x}^{2}  - 6x - 7 \\ plug \: y = 0 \\  {x}^{2}  - 6x - 7 = 0 \\  {x}^{2}  - 6x + 9 = 7 + 9 \\ (x - 3)^{2}  = 16 \\ (x - 3) =  \pm 4 \\ x = 4 + 3 \: or \: x =  - 4 + 3 \\ x = 7 \: or \: x =  - 1

Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.

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The answer is 35 degrees, but I am unsure of the process in order to get to that answer.
hammer [34]

Answer:

Step-by-step explanation:

Hello There!

So first things first

we need to find the measure of ∠ABD

If you didn´t know the sum of the triangle angles is 180

so to find ∠ABD we subtract the given angles ( 30 and 25) from 180

180-25-30=125

so angle ∠125

Now lets find ∠DBC

∠ABD and ∠ DBC are supplementary angles so the sum of the two angles is 180

So to find ∠DBC we subtract 125 from 180

180-125=55

so ∠DBC = 55

Now we can find the measure of ∠BDC

remember like stated before the sum of all of the angles in a triangle is 180

So to find the measure of ∠BDC we subtract the given angles from 180

180-90-55=35

so we could conclude that ∠BDC = 35

Other ways to solve for ∠DBC:

angle DBC is an exterior angle of ΔABD

the measure of an exterior angle is equal to the sum of the opposite interior angles

so basically ∠DBC = ∠ADB + ∠BAD

30+25=55 so ∠DBC = 55

Other ways to find angle BDC:

Having found the measure of ∠DBA and the other opposite angle we could find ∠BDC

Like stated before the measure of an exterior angle is equal to the sum of the opposite interior angles

basically ∠DBA = ∠BDC + ∠BCA

we have the measures of ∠BCA and ∠DBA so we plug in the values

125=∠BDC+90

isolate the variable by subtracting each side by 90

125-90=35

we´re left with

∠BDC=35

I hope this helps and if you have anymore questions, feel free to ask! :)

4 0
3 years ago
Read 2 more answers
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