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3 years ago

What is the value of m

Mathematics

1 answer:

Aliun [14]3 years ago

6 0

Answer:

The value of m has to be found within an equation or it has a given value alreadu.

Step-by-step explanation:

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A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of t

DIA [1.3K]

Answer:

The equation in slope-intercept form is y = 8x

The slope represents the unit cost

A party for 40 people would cost $320

Step-by-step explanation:

8 0

3 years ago

What is the distance between (3, 5.25) and (3, –8.75)? 6 units 8.25 units 11.75 units 14 units

evablogger [386]

By using distance formula :

$\text{Distance formula,} \bold{ \boxed{ Distance = \sqrt{( x_{2} -x_{1})^{2}+(y_{2} - y_{1})^{2}) }}}$

Given points = ( 3 , 5.25 ) and ( 3 , - 8.75 )

$\bold{Taking \: \: \: x_{1}=3 \: \: , \: \: x_{2}= 3 \: \: , \: \: y_{1}= 5.25 \: \: , \: \: y_{2}= -8.75}$

On applying formula, we get

$Distance = \sqrt{ ( x_{2}-x_{1})^{2}+(y_{2}-y_{1})^2} \\ \\ \\ Distance = \sqrt{ ( 3 - 3 )^{2} + ( - 8.75 - 5.25 )^{2}} \\ \\ \\ Distance = \sqrt{ ( 0 )^{2} + ( - 14)^{2}} \\ \\ \\ Distance = \sqrt{ ( - 14 )^{2}} \\ \\ \\ Distance = \sqrt{ 14^{2}} \:\:\:\:\:\:\:\:\:\:\: \: \: \: \: \: \: \: \: | \bold{ ( - 14 )^{2} = 14^{2}} \\ \\ \\ Distance = {14}^{2 \times \frac{1}{2} } \\ \\ \\ Distance = {14}^{1} \\ \\ \\ Distance = 14 \: units$

Hence, Option D is correct.

4 0

3 years ago

Read 2 more answers

The string of a kite is 120 metres long and it makes an angle of 60 degree

Afina-wow [57]

Answer:

103.92 m

Step-by-step explanation:

The kite is making right angle with the ground and its string is acting as hypotenuse of right triangle.

Let the height of the kite from the ground be h meters.

Therefore, by trigonometrical ratio:

$\sin \theta \: = \frac{height \: of \: the \: kite}{length \: of \: the \: string} \\ \\ \sin 60 \degree \: = \frac{h}{120} \\ \\ \frac{ \sqrt{3} }{2} = \frac{h}{120} \\ \\ h = \frac{ \sqrt{3} }{2} \times 120 \\ \\ h = \sqrt{3} \times 60 \\ \\ h = 1.732 \times 60 \\ \\ h = 103.92 \: m \\$

Thus, the height of the kite from the ground is 103.92 meters.

7 0

3 years ago

E is the midpoint of DF⎯⎯⎯⎯⎯, DE=6x+1 and EF=7x−4. Find DE, EF, and DF

grandymaker [24]

DE is 31 units, EF is 31 units and DF is 62 units

Step-by-step explanation:

A mid-point of a line segment

Divides it into two congruent parts
The length of each part is half the length of the line segment

∵ E is the mid-point of segment DF

- That means E divides DF into two parts DE and EF and the

lengths of them are equal

∴ DE ≅ EF

∵ DE = 6x + 1

∵ EF = 7x - 4

- Equate them

∴ 6x + 1 = 7x - 4

- Add 4 to both sides

∴ 6x + 5 = 7x

- Subtract 6x from both sides

∴ 5 = x

Substitute the value of x in DE and EF to find their length

∵ DE = 6(5) + 1

∵ DE = 30 + 1

∴ DE = 31 units

∵ EF = 7(5) - 4

∴ EF = 35 - 4

∴ EF = 31 units

∵ DF = DE + EF

∴ DF = 31 + 31

∴ DF = 62 units

DE is 31 units, EF is 31 units and DF is 62 units

Learn more:

You can learn more about the mid-point in brainly.com/question/10480770

#LearnwithBrainly

8 0

3 years ago

What’s the answer to this multiple choice algebra equation

crimeas [40]

Answer:

Step-by-step explanation:

5 0

4 years ago