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kotegsom [21]
3 years ago
8

Can you help me solve this radical equation √y-10 = y-2 the sqrt sign is only over the y-10

Mathematics
1 answer:
matrenka [14]3 years ago
7 0
D:y-10\geq0 \wedge y-2\geq0\\
D:y\geq10 \wedge y\geq2\\
D:y\geq10\\\\
\sqrt{y-10}=y-2\\
y-10=(y-2)^2\\
y-10=y^2-4y+4\\
y^2-5y+14=0\\
\Delta=(-5)^2-4\cdot1\cdot14=25-56=-31\\
\Delta
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1.Graph f(x) = -1.5x +6<br> 2.Graph f(x) = -1/2x-5
nalin [4]

Ans(1):

Given equation is f(x)=-1.5x+6

we can plug any number like x=0 and x=2 to find the f(x) also called y-value

plug x=0

f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6

Hence first point is (0,6)

plug x=2

f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3

Hence first point is (2,3)

now we can graph both points then join them to get final graph of f(x)=-1.5x+6

---------------------

Ans(2):

We can repeat exactly same process for f(x) = -1/2x-5.

So the final graph will look like attached picture:


5 0
3 years ago
The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies. Based on this dat
Ahat [919]

Answer:

Option B.

Step-by-step explanation:

It is given that,

Last year the total number of movies = 108

Number of action movies = 15

Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.

So, the required probability is:

\text{Probability}=\dfrac{\text{Number of action movies}}{\text{Total number of movies}}

\text{Probability}=\dfrac{15}{108}

Hence, the correct option is B.

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. The equation 2w²-w-28 , w
dybincka [34]
The answer should be B
4 0
3 years ago
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At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?
AysviL [449]

Answer:

-19 degrees

Step-by-step explanation:

13+6=19

you would need to add the negative since it said dropped in temperature and the temperature was already negative.

3 0
3 years ago
What is the perimeter of the figure
anastassius [24]

Answer:

Option A.

P=73.4\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In this problem we have a triangle with a circle inscribed in it

so

A.F=A.B\\C.B=C.D\\E.F=E.D

step 1

Find the length side B.C

C.B=A.C-A.B

substitute the given values

C.B=23-14=9\ units

step 2

Find the length side C.D

Remember that

C.D=C.B

therefore

C.D=9\ units

step 3

Find the length side E.D

we know that

E.D=E.C-C.D

substitute the given values

E.D=22.7-9=13.7\ units

step 4

Find the length side E.F

Remember that

E.F=E.D

therefore

E.F=13.7\ units

step 5

Find the length side A.F

Remember that

A.F=A.B

therefore

A.F=14\ units

step 6

Find the perimeter

P=23+22.7+13.7+14

P=73.4\ units

6 0
3 years ago
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