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m_a_m_a [10]
3 years ago
8

In a coordinate plane, what is the distance between (4,-8) and (4, -12)?

Mathematics
2 answers:
Marina86 [1]3 years ago
7 0
Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4
svetoff [14.1K]3 years ago
6 0
The distance between the two values is 4. -8 is 4 away from -12, and the value of x stays the same.
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How do you determine where f(x)=cos^(-1)(lnx) is continuous?
olga nikolaevna [1]
\ln x is continuous over its domain, all real x>0.

Meanwhile, \cos^{-1}y is defined for real -1\le y\le1.

If y=\ln x, then we have -1\le \ln x\le1\implies \dfrac1e\le x\le e as the domain of \cos^{-1}(\ln x).

We know that if f and g are continuous functions, then so is the composite function f\circ g.

Both \cos^{-1}y and \ln x are continuous on their domains (excluding the endpoints in the case of \cos^{-1}y), which means \cos^{-1}(\ln x) is continuous over \dfrac1e.
7 0
3 years ago
A farmer has a square garden that has an area of 100 feet squared. He needs to
stellarik [79]

Answer:

40ft

Step-by-step explanation:

The shape of the garden (square) tells you that both the length and the width of the garden are the same measure.

If the area is 100sqft, you can determine that side * side = 100. To find this answer, you can take the square root of 100. side=10, because 10 * 10= 100 (the area).

Now, we know that each side measures 10 feet. Try drawing and labeling a picture to help you visualize the garden. Next, label each side of the square garden 10ft.  To find the feet of fencing is needed to enclose the garden,

We need to find the perimeter, so we can calculate

10ft * 4 sides = 40 feet of fencing.

5 0
3 years ago
Someone please solve. I keep getting 66 but it's wrong.​
sashaice [31]

The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees.  z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

7 0
3 years ago
Read 2 more answers
You order the hardcover book shown from a website that offers free shipping on orders of $25 or more. Write and solve an inequal
jenyasd209 [6]

Answer:

If P= price of the hardcover book, then

We have to spend $25-P, if P<$25; or $0 if P>= $25

Step-by-step explanation:

Lets call P the price of the hardcover book, in $. We can suppose that P is less than 25, otherwise we shoudnt spend on anything else to get the free shipping. If X is the amount that we have to spend to reach 25, then we get that P+X = 25. If P is known, we can obtain X by substracting P in both sides, therefore

X = 25-P

We conclude that if the price of the book P is less than 25, then we have to spend $25-P. Otherwise we have to spend 0.

6 0
3 years ago
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
jasenka [17]

Answer:

The value of a + 2z/ 2 in terms of a is (3a+4)/2

Step-by-step explanation:

least of 3 consecutive integers is a, and the greatest is z

if a is the least one

we know that integers differ by value of 1.

example -2, -1, 0, 1,2

they all differ by

then next consecutive integer will be a+1

third integer will be  second integer +1 = a+1 + 1 = a+2

Thus, 3 consecutive integer

a , a+1, a+2

but given that greatest is z

thus, a+2 is greatest and hence

a+2 = z

we have to find   value of a + 2z/ 2 in terms of a

a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.

The value of a + 2z/ 2 in terms of a is (3a+4)/2

4 0
3 years ago
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