Answer:
If the roots of any equation are equal then it means that their Discriminant = 0
So, b²-4ac = 0
We have given the equation 2x² + kx + 2, where,
a = 2
b = k (we have to find the value)
c = 2
Then, b²-4ac=0
b² - 4(2)(2) = 0
b² - 16 = 0
b² = 16
√16 = 4
Hence the vue of k is 4.
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
we are given half-life of PO-210 and the initial mass
we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>
in order to solve so we can consider the half-life formula given by

where:
- f(t) is the remaining quantity of a substance after time t has elapsed.
- a is the initial quantity of this substance.
- T is the half-life
since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5
thus substitute:

reduce fraction:

By using calculator we acquire:

hence, the remaining sample after 420 days is 0.625 kg
The first base matches the second height
The second base matches the first height
The third base matches the third height
<h3>Base and height of a triangle </h3>
From the question, we are to match the base to the corresponding height
In a triangle, the height of the triangle is perpendicular to the base.
Applying this in the given diagram,
The first base matches the second height
The second base matches the first height
The third base matches the third height
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Answer:
L = 2 4/5 feet
Step-by-step explanation:
A = L x W
6 = L x 2 1/7
divide both sides by 2 1/7
6 divided by 2 1/7 = L (is the same as multiplying by the reciprocal)
6 x 7/15 = L
L = 14/5 or 2 4/5
Answer:
continuous.
Step-by-step explanation:
Given function is
.
and value of a = 7.
Now we need to find if the given function
is continuous or not.
By definition of continuity, we know that a function is continuous at a given point if both left and right hand limits are equal.
Left Hand Limit = LHL

Right Hand Limit = RHL

Since both limits are equal at a=7 so we can say that given function is continuous at a=7