All categories

2 years ago

What is the largest angle of WXY?

Mathematics

1 answer:

marin [14]2 years ago

4 0

Answer:

This is because the longest side in triangle WXY is side XY (15 units), therefore making the largest angle in that triangle, angle XWY, or angle W.

Step-by-step explanation:

You might be interested in

The factors of x cube -10x square -53x-42

Verdich [7]

Answer:

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

Step-by-step explanation:

$x^3 - 10x^2 -53x - 42$

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

1 - 10 - 53 - 42 ≠ 0

Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

- 1 - 10 + 53 - 42

53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

-1 | 1 -10 -53 - 42

| 0 - 1 11 42

|______________________

1 - 11 - 42 0

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)$ ------ ( 1 )

Next further factorize x² - 11x - 42

x² - 11x - 42

= x² - 14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

4 0

2 years ago

Rate and Ratios IF 3 kg of potatoes cost R24. How much will 7 kg of potatoes cost

balu736 [363]

Answer:

7kg of potatoes cost 56 R (dollars)

Step-by-step explanation:

First, we have to find the unit price of 1kg of potatoes. To do this we divide 24 by 3. That's 8. Each kg of potato costs 8 dollars.

Now, all we have to do is multiply 8 by 7.

8 is the unit rate/kg and 7kg is the amount they are asking.

8x7=56

7kg of potatoes cost 56R

4 0

1 year ago

Read 2 more answers

Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that its slope is -4/3.

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

In short, your new equation is y = -4/3x - 10 1/3.

3 0

2 years ago

Read 2 more answers

Which polynomial function has zeros at -3, 0, and 4?

vaieri [72.5K]

Answer:

If 5 is zero then (x - 5) is a factor.

Only 4. has this factor.

Step-by-step explanation:

6 0

2 years ago

You want to buy four coloured markers. The smallest package available has six markers in it and costs $9.00. One package has bee

zhannawk [14.2K]

Package of 5 markers should be $7.50

Unit rate $9.00 ÷ 6 = $1.50

9.00 =

6 5

4 0

3 years ago