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3 years ago

Help with question 24. Please provide explanation! Big points

Mathematics

2 answers:

DerKrebs [107]3 years ago

6 0

Answer:

4/3

Step-by-step explanation:

-3y + 4x = -6

-3y = -6 -4y

slove for Y

y = -6/-3 -4/-3 x

Y = -2 +4/3x

Y = 4/3 x -2

so slope or gradient is coefficient of x

4/3 is gradient.

DochEvi [55]3 years ago

3 0

Answer:

Equation of a straight line= mx+c

where m is the gradient...

-3y + 4x = -6

Rearrange this equation to the form mx+c

-3y = -4x - 6

y = -4/-3x - 6/3

Simplifying we get y = 4/3x - 2

Therefore 4/3 is the gradient because according to the equation y = mx+c, your m value (gradient) is 4/3.

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Determine the midpoint between the two points x(4,-6) and y(-2,8)

ikadub [295]

Answer:

$p(a, b) = (1, 1)$

Step-by-step explanation:

Midpoint formula is

$p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$ ---------------(1)

Here

$(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)$

Substituting values in equation (1)

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3 years ago

HELPPP PLSSS!!!!!!!!!!! Find the volume of the cone.

Katen [24]

Answer:

The volume of cone is $\boxed{\tt{167.47}}$ unit³.

Step-by-step explanation:

<u>Solution</u> :

As per given question we have provided :

➝ Radius of cone = 4 units
➝ Height of cone = 10 units

Here's the required formula to find the volume of cone :

${\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}$

V = Volume
π = 3.14
r = radius
h = height

Substituting all the given values in the formula to find the volume of cone :

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4)}^{2}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4 \times 4)}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(16)}10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 16 \times 10}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 160}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1\times 3.14 \times 160}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{3.14 \times 160}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{502.4}{3}}}}$

${\longrightarrow{\sf{Volume_{(Cone)} \approx 167.47}}}$

$\star{\underline{\boxed{\sf{\purple{Volume_{(Cone)} \approx 167.47\: {unit}^{3}}}}}}$

Hence, the volume of cone is 167.47 unit³.

$\rule{300}{2.5}$

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