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Softa [21]
4 years ago
9

THE vertices of a triangle are P(-1,3), Q(2,-1), and R(5,3) choose all the congruent sides of the triangle

Mathematics
1 answer:
Ratling [72]4 years ago
7 0

Answer:

PQ and QR are congruent.

Step-by-step explanation:

The length of PQ = sqrt [(2 - -1)^2 + (-1 - 3)^2]

= sqrt 25

= 5 units.

QR = sqrt [(5-2)^2 + (3 - -1)^2) ]

= sqrt 25

= 5 units.

PR =  sqrt [ ( 3-3^2 + (5- -1)^2]

= sqrt 36

= 6 units.

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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Fiesta28 [93]
Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:

We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

\boxed{y=-6x-57}

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57
3 0
4 years ago
Read 2 more answers
Find the length of arc RQ. Use 3.14
Helen [10]

Answer:

The length of arc PQ is 8.1 inches.

Step-by-step explanation:

First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :

73 + 150 + 65 + ∠POQ = 360

288 + ∠POQ = 360

∠POQ = 360 - 288 = 72

Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :

arc =  \frac{θ}{360}  \times 2 \times \pi \times r

let \: θ = 72,\pi = 3.14,r = 6.48

arc =  \frac{72}{360}  \times 2 \times 3.14 \times 6.48

arc = 8.1 \: inches \: (near.tenth)

7 0
4 years ago
The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the
Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}

So, a = 5.

Thank you.

7 0
4 years ago
Find the distance CD rounded to the nearest tenth C=(5,6) D=(2,2)
Dmitriy789 [7]
2,2 is 3,4 away from 5,6 and 3²+4²=25=5² so CD=5
3 0
3 years ago
What is the value of x? Use the image below. *<br> (5x + 5)<br> 959<br> 95<br> 18<br> 19<br> 180
docker41 [41]

Answer:

18

Step-by-step explanation:

hope this helps you out

7 0
3 years ago
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