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Dovator [93]
3 years ago
5

Two of the vertices Of a rectangle are(1,-6) and (-8,-6). If the rectangle has a perimeter of 26 units what are the coordinates

of its other two vertices
Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0
The other points would be (-8, -2) and (1, -2)
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In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
What is the slope of the line through points (0,6) and (5,-4)
anastassius [24]
The slope between the points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(0,6) and (5,-4)
x1=0
y1=6
x2=5
y2=-4

slope=(-4-6)/(5-0)=-10/5=-2
slope=-2
7 0
3 years ago
What is the area, in square centimeters, of triangle Z?​
sveticcg [70]

9514 1404 393

Answer:

  24 cm^2

Step-by-step explanation:

The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z

5 0
3 years ago
It’s a math question, plz help
olga2289 [7]
The answer to your question is D
8 0
3 years ago
Challenge 5 Rani, Layla and Tash take part in a basketball competition. Rani scores 4 times as many baskets as Layla. Tash score
Murljashka [212]

Answer:

Step-by-step explanation:

r=4*l

t=r-8

t=4l-8

r+t+l=100

4l+4l-8+l=100

9l-8=100

+8 +8

9l=108

:9. :9

l=12 Layla score

4*12=48 Rani score

48-8=40 Tash score

verify 12+40+48=100 correct

4 0
3 years ago
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