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gulaghasi [49]
2 years ago
7

Please solve it this is very important.

Mathematics
1 answer:
san4es73 [151]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The slope m of the line = tan45° = 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c

To find c substitute (2, 1 ) into the equation

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = x - 1 ← equation of line

When x = 0 then y = 0 - 1 = - 1

The line passes through (0, - 1 )

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Arturiano [62]
The first one.............
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3 years ago
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Solve using the quadratic formula. h2 + 8h + 8 = 0 Write your answers as integers, proper or improper fractions in simplest form
Marina86 [1]
A=1 b=8 c=8
h = [-8 +-sq root(64 - 4*1*8)] / 2
h = [-8 +-sq root(32)] / 2
h1 = -4 + <span> <span> <span> 2.8284271247 </span> </span> </span>
h1 = <span> <span> <span> -1.1715728753 </span> </span> </span>
h2 = -4 - <span> <span> 2.8284271247
</span></span>h2 = -<span> 6.8284271247

</span>
3 0
3 years ago
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the
liberstina [14]

Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

So, the total people enter the park:

x+y=333\\\\x=333-y\ \ \ ...(1)

Thus, the total amount collected of the admission fee:

1.50(x)+4(y)=862\\\\

Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

4 0
3 years ago
At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own
Margaret [11]

Answer:

4

Step-by-step explanation:

Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.

Total no of people =52

The venn diagram attached gives a clear picture

assuming x to be owners of both dog and cat.  Then 2x is for both goldfish and cats.

Totalling all mutually exclusive we get

64-3x=52

x=4

No of owners who own  both cat and dog =4

7 0
3 years ago
I need help with this question.
dmitriy555 [2]

Answer: The attachment is blank

Step-by-step explanation: :/

5 0
3 years ago
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