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3 years ago

8

What is the area of a triangle with a base of 7 cm and a height of 4cm

1 answer:

Alex777 [14]3 years ago

3 0

Answer:

14 sq cm

Step-by-step explanation:

7 × 4 = 28

28 ÷ 2 = 14

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What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5

juin [17]

ANSWER

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = - 2x+5$

EXPLANATION

We have been given the quotient,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} }$
to simplify.

We need to rewrite the numerator as difference of two cubes.

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ {5}^{3} - ( {2x})^{3} }{ 25 + 10x + 4 {x}^{2} }$

We need to make use of the difference of cubes formula,

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

We now let,
$a = 5 \: and \: b = 2x$

Then the numerator becomes,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 5 (2x) + {(2x)}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

This simplifies to,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 10x + 4 {x}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

We cancel out common factors to obtain,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)}{ 1}$

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = 5 - 2x$

8 0

2 years ago

Read 2 more answers

3. An inequality is shown.<br> Which value of x makes the inequality true?

erastovalidia [21]

Sorry don’t now the answer to this problem

3 0

2 years ago

Find the y-intercept and x-intercept of the line -x+2y=4

Alex

Answer:

The y-intercept and x-intercept of the line are 2 and -4 respectively.

Step-by-step explanation:

Given equation of line -x + 2y = 4

We have to find the y-intercept and x-intercept of the line.

Consider the given equation of line -x + 2y = 4

the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.

Thus, putting x = 0 in line equation , we get,

-(0) + 2y = 4

⇒ y = $\frac{4}{2}$

⇒ y = 2

the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.

-x + 2(0) = 4

⇒ x = - 4

Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.

8 0

3 years ago

Read 2 more answers

Plsss help on my test

sergeinik [125]

Answer:

$282.5

Step-by-step explanation:

by the question,

305 - 3×7.5=282.5

∫350<500∫ so $285 is in his account

8 0

2 years ago

The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the

saw5 [17]

Answer:

(8,9)

Step-by-step explanation:

Given

$A = (2,6)$

$B = (2,9)$

$C = (8,6)$

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

$x_1 = x_2$ $x_3 = x_4$ $y_1 = y_3$ $y_2 = y_4$

So, we have:

$A = (2,6)$ --- $(x_1.y_1)$

$B = (2,9)$ ---- $(x_2.y_2)$

$C = (8,6)$ ---- $(x_3,y_3)$

Using the above equations:

$x_3 = x_4$ $=8$

$y_2 = y_4$ $= 9$

Hence, the coordinate of the 4th point is:

$(x_4,y_4) = (8,9)$

4 0

3 years ago