T = 60°
Step-by-step explanation:
Angle S = 180° - 150° = 30°
Angle U = 90°
Therefore, angle T is given by
S + U + T = 180
30° + 90° + T = 180°
or
Angle T = 60°
Answer:
Step-by-step explanation:
Recall, if we have a polynomial of the form 
, then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form 
-5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
.
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
.
Which implies that 
. Since the square of any number is a positive number, it must happen that a>0. So, we have that
![b= \pm \sqrt[]{\frac{1}{a}}](https://tex.z-dn.net/?f=b%3D%20%5Cpm%20%5Csqrt%5B%5D%7B%5Cfrac%7B1%7D%7Ba%7D%7D)
.
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
which we can easily check that f(0)=-1.
You just multiply both numbers and make sure and square the yards in the final answer
Answer:
she earned 140$ per year
after 10 years she would have earned 1400$
Step-by-step explanation:
Answer:
The answer to your question is car 1 = 30 gal and car 1 = 20 gal
Step-by-step explanation:
car 1 = a
car 2 = b
Efficiency of car 1 = 35 mi/gal
Efficiency for car 2 = 20 mi/gal
Total distance = 1450
Total gas consumption = 50 gal
Equations
35a + 20b = 1450 ------- (I)
a + b = 50 ------- (II)
Solve by elimination
Multiply equation II by -35
35a + 20b = 1450
-35a - 35b = -1750
Simplify
0 - 15b = -300
Solve for b
b = -300/-15
Result
b = 20
Substitute b in equation II to find a
a + 20 = 50
Solve for a
a = 50 -20
Result
a = 30
