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2 years ago

What is the area of the triangle in the diagram?

Mathematics

2 answers:

dsp732 years ago

5 0

Answer:

The answer is the 2nd one

Step-by-step explanation:

mariarad [96]2 years ago

5 0

Answer:

(B)

Step-by-step explanation:

Given: A triangle whose coordinates are (0,0), $(x_{1},y_{1})$ and $(x_{2},y_{1})$ .

To find: The area of the triangle.

Solution: We know that Area of triangle= $\frac{1}{2}{\times}base{\times}height$ .

Now, Base= $\sqrt{(x_{2}-x_{1})^{2}+(y_{1}-y_{1})^{2}}$

Base= $(x_{2}-x_{1})$

And height= $\sqrt{(0-0)^2+(y_{1}-0)^2}$

Height= $y_{1}$

Therefore, area of triangle= $\frac{1}{2}{\times}(x_{2}-x_{1})}{\times}y_{1}$

Area of triangle= $\frac{1}{2}y_{1}(x_{2}-x_{1})}$

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The train station clock runs too fast and gains 7 minutes every 4 days. How many minutes and seconds will it have gained at the

dolphi86 [110]

4 days 10 days Cross Multiplication
---------- = ------------
7 mins x

4x = 7*10
4x = 70
x = 70/4
x = 17.5

17.5 minutes = x

7 0

2 years ago

Which statement shows how two polynomials 4x + 6 and 2x2 − 8x demonstrate the closure property when multiplied?

steposvetlana [31]

Answer:

$8x^{3} -20x^{2} -48x$ is a polynomial

Step-by-step explanation:

Given : polynomials $4x+6$ and $2x^{2} -8x$

Solution:

$(4x+6)*(2x^{2} -8x)$

$4x(2x^{2} -8x)+6(2x^{2} -8x)$

$8x^{3} -32x^{2}+12x^{2} -48x$

$8x^{3} -20x^{2} -48x$

Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

Thus $8x^{3} -20x^{2} -48x$ is a polynomial

Hence option A is correct.

7 0

2 years ago

Read 2 more answers

The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n,

Sindrei [870]

Given:

Area of rectangle = $6n^4+20n^3+14n^2$

Width of the rectangle is equal to the greatest common monomial factor of $6n^4, 20n^3,14n^2$ .

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of $6n^4, 20n^3,14n^2$ is

$6n^4=2\times 3\times n\times n\times n\times n$

$20n^3=2\times 2\times 5\times n\times n\times n$

$14n^2=2\times 7\times n\times n$

Now,

$GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2$

So, width of the rectangle is $2n^2$ .

Area of rectangle is

$Area=6n^4+20n^3+14n^2$

Taking out GCF, we get

$Area=2n^2(3n^2+10n+7)$

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is $2n^2$ , therefore length of the rectangle is $(3n^2+10n+7)$ .

5 0

2 years ago

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and

Yanka [14]

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

<u><em>Could I please have BRAINLIEST?</em></u>

5 0

2 years ago

The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of th

hichkok12 [17]

Answer:

Step-by-step explanation:

let x represent the number of markers.

Let y represent the cost for x boxes of markers.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (14 - 7)/(24 - 10)

m = 7/14 = 0.5

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes

14 = 0.5 × 24 + c = 12 + c

c = 14 - 12

c = 2

The equation would be

y = 0.5x + 2

7 0

2 years ago