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3 years ago

Which equation in slope intercept form has a graph that passes through the point (2,1) and has a slope of 3?

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 3, m= 3.

Substitute m= 3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 1,

1= 3(2) +c

1= 6 +c

c= 1 -6

c= -5

Thus, the equation of the line is y= 3x -5.

Svetllana [295]3 years ago

6 0

Answer:

Step-by-step explanation:

From this graph we can see that the line has a slope of 3x (+3 on y-value, while +1 on x-value), and with the y-intercept of -5, the line passes through the point 2,1, therefore making it answer D. Desmos Graphing Calculator helps on questions Like this.

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Find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Savatey [412]

Answer:

Volume of the cone is 120 π cm³

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

$\\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\$

On Substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\$

Volume of a cone is 120 π cm³

6 0

2 years ago

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking

valina [46]

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

8 0

3 years ago

3. The manager of a store marks up all the items by 10%. If x is the original price, which expression represents the new price w

goldenfox [79]

Answer:
1.1x
x + 0.1x

Step-by-step explanation:

The manager of a store marks up all items by 10%.

So, if the original price of any item is x, then increase for markup is 10% of x i.e. .
Hence, the expression that represents the new price with the markup is (x + 0.1x) = 1.1x.

7 0

3 years ago

The expression (3x^7)^4 is equivalent to c^n what is the value of c

Nimfa-mama [501]

Answer:

n= 21

c= 3x

Step-by-step explanation:

The expression is given as;

(3x⁷)⁴

Apply the brackets law of indices which states that :

If a term with a power is itself raised to a power then the powers are multiplied together

(xᵃ)ᵇ = xᵃˣᵇ

Applying the same;

(3x⁷)⁴ = 3x²¹

If 3x²¹ = c^n

Then n = 21

and

c= 3x

7 0

3 years ago

11. A man is buying a lot which measures 7,860 square meters. How many

goblinko [34]

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 = 786,000 hectares

The answer is given by option C.

4 0

3 years ago