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rusak2 [61]
3 years ago
10

48. Calculate the value of c in the triangle below.

Mathematics
2 answers:
guapka [62]3 years ago
6 0

Answer:

17

Step-by-step explanation:

c = a^2 + b^2 = 15^2 + 8^2 = 17

mel-nik [20]3 years ago
3 0
This is Pythagorean Theorem

The formula is a(squared) + b(squared)=c (squared)

15*15 is 225
8*8 is 64

Add the two numbers
Which is 289

Square root 289 which is 17

So C equals 17

If this helps mark me the brainiest!!
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There were 84 runners to start a race. In the first half of the race,1/4 of them dropped out. In the second half of the race, 1/
irakobra [83]

Answer:

Step-by-step explanation:

Yegsshsgehee

8 0
2 years ago
Determine the gradient of the straight line 2x-3y+9=0. Find the equation of the straight line through the origin which is perpen
frutty [35]

Answer: 3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

x

1

)3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular lineExplanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular line

7 0
3 years ago
Read 2 more answers
For the given term, find the binomial raised to the power , whose expansion it came from: 10a ^ 3 * b ^ 2 .
9966 [12]

Answer:

i dont know sorry

Step-by-step explanation:

7 0
3 years ago
X+4y=6<br> 3x+3y=9<br> Answer is 6.3 but how
maksim [4K]

Answer:

X = 2

Y = 1

Step-by-step explanation:

x + 4y = 6

3x + 3y = 9

3x + 12y = 18

3x + 3y = 9

9y = 9

x + 4y = 6

y = 1

x + 4 * 1 = 6

y = 1

x + 4 = 6

y = 1

x = 2

so there ia only 1 solution for this equation is (2;1)

Done :))

8 0
2 years ago
After 9 new members joined the ski club, there were 38 members. How many members had been in the club previously?
dezoksy [38]

Answer:

Previously, there were 29 members in the ski club

Step-by-step explanation:

Subtract 9 from 38

6 0
3 years ago
Read 2 more answers
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