Answer:
x = –7, x = 2, or x = 4 are factors of f(x).
Step-by-step explanation:
Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .
To find : What are all the roots of the function.
Solution : f(x) = 5x³ +5x²-170x +280 .
We have given that x + 7 is factor that mean x = -7 is factor of f(x )
When we divide f(x) by x +7 we get
5x² -30x +40 =0
Taking common 5 from equation
5( x² -6x +8) =0
On dividing by 5 both sides
x² -6x +8 = 0
On factoring
x² -2x -4x +8 = 0.
Taking common x from first two terms and -4 from last two terms
x ( x -2) -4 (x -2) = 0
On grouping
(x-2) (x-4) = 0
x -2 =0
x =2
x-4 =0
x = 4
Therefore, x = –7, x = 2, or x = 4 are factors of f(x).
Answer:
Step-by-step explanation:
∠AEC ≅ ∠BED as vertically opposite angles
- m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords
<u>Substitute values and solve for x:</u>
- 4x = 1/2(120 + 2x)
- 4x = 60 + x
- 3x = 60
- x = 20
<u>Find the measure of AEC:</u>
<u>AED and AEC form a linear pair hence supplementary:</u>
- m∠AED = 180° - m∠AEC<u> </u>
<u>Find the measure of ∠AED:</u>
- m∠AED = 180° - 80° = 100°
Answer:
1. Interior angles:- B and F
C and G
2. Corresponding angles:- E and G
F and H
A and C
B and D
3. Equal
4. Angle A = 105
Angle C = 105
Angle D = 75
Angle E = 75
Angle F = 105
Angle G = 75
Angle H = 105
5. Angle D
6. Angle B = 65
Step-by-step explanation:
1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
∴ Pair of interior angles are:- 1) B and F
2) C and G
2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.
∴ Pair of corresponding angles:- 1) A and C
2) B and D
3) E and G
4) F and H
3. Angle D and E are equal as they form alternate exterior angles.
4. Angle B = 75 degrees
Angle A = (180-B) = 105 degrees
Angle C = (180-B) = 105 degrees(interior angles)
Angle D = B = 75 degrees(corresponding angles)
Angle E = B = 75 degrees(congruent angles)
Angle F = (180-B) = 105 degrees
Angle G = B = 75 degrees(alternate interior angles)
Angle A = (180-B) = 105 degrees
5. Angle D
6. Angle F = 115 degrees
Angle B = (180-115) = 65 degrees
Answer:
1875L = 1.875x10^6 mL
multiply by density to get 2.14x10^6
multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)
Step-by-step explanation:
