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masha68 [24]
3 years ago
6

if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p

= 0 are equal.
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

first 0ne

Step-by-step explanation:

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Ray Of Light [21]
1.A 2.B hope this helps
7 0
3 years ago
Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.
mixer [17]

Answer:

The answer is 40°

Step-by-step explanation:

Solution

Now,

The Measure of major arc FD = 280°

Thus,

One complete angle measure 360°

Then

m∠FED = 360 - 180

m∠FED = 80°

Thus,

FE = DE ( the same circle Radius)

∠EFD = ∠EDF (  opposite angles to equal sides are equal)

Now

Applying angle sum property of a triangle in ΔEFD

∠EFD + ∠EDF + ∠FED = 180°

∠EFD + ∠EFD + 80 = 180

2∠EFD = 100

∠EFD = 50°

Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.

∠EFG = 90°

∠GFD + ∠EFD = 90°

∠GFD + 50 = 90

∠GFD = 40°

Therefore, The measure of the angle GFD is 40°

8 0
3 years ago
Read 2 more answers
Judd worked 40 hours this week. He worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?
Mnenie [13.5K]
If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:

40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours

Judd worked 28 hours outside.
3 0
3 years ago
Find the missing angel ​
kolezko [41]

Answer:

x=25°

Step-by-step explanation:

The given angle is a 90° angle. We know this because of the little square in the corner. This means that both angles must add up to 90°:

x+y=90

Insert the known values:

x+65=90

Solve for x. Subtract 65 from both sides:

x+65-65=90-65\\\\x=25

The missing angle, x°, is 25°.

:Done

8 0
3 years ago
15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
never [62]

Answer:

12

Step-by-step explanation:

15 feet total amount combined by pole and birdhouse

4 foot tall person makes 5 feet long shadow

5x3=15

4x3=12 so the birdhouse and pole are 12 feet

4 0
3 years ago
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