X = shorter piece
y = longer piece = 5x

shorter piece + longer piece = 60
x + 5x = 60
6x = 60
x = 60/6
x = 10 in. <== shorter piece

y = 5x
y = 5(10)
y = 50 in. <== longer piece

8 0

3 years ago

One angle of an isosceles triangle measures 80°. Which other angles could be in that isosceles triangle?

ohaa [14]

Answer:

80 and 40 are the other angles

Step-by-step explanation:

4 0

3 years ago

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

3 years ago

Need help quickly please!!!

Bad White [126]

Answer:

Step-by-step explanation:

3 0

3 years ago

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