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Llana [10]
1 year ago
10

The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

Mathematics
2 answers:
yuradex [85]1 year ago
3 0
A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal
leva [86]1 year ago
3 0

Step-by-step explanation:

if the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle

bbc

10 squared = 100

13 squared = 169

17 squared = 289

100 + 169 = 269 NOT 289 so

there is no right angle and so its not a right triangle

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1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x
Olin [163]

1.

2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4

The base can't be negative, therefore x=3.

2.

3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7

3.

2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7

5 0
1 year ago
Which of the following are solutions?
zloy xaker [14]

This is a quadratic equation. There's a shortcut (two shortcuts really) called the Shakespeare Quadratic Formula (2b or -2b) applicable when the middle term is even:

x^2 - 2bx + c \textrm{ has zeros } x= b\pm \sqrt{b^2-c}

ax^2 - 2bx + c \textrm{ has zeros } x= \dfrac 1 a( \left b\pm \sqrt{b^2-ac} \right)

OK, our problem is

9x^2 - 6x -7 = 0

x = \frac 1 9 (3 \pm \sqrt{9-(9)(-7)}) = \frac 1 9(3 \pm \sqrt{72})= \frac 1 9(3 \pm 3 \sqrt{8}) = \frac 1 3(1 \pm \sqrt 8)

Typically we'd write \sqrt 8 = 2 \sqrt 2 but the answers here don't so we won't either.

Answer: C and D

7 0
3 years ago
Please help with mark as brainliest please also show work
Vinvika [58]

Answer:

D. -3x + 18

Step-by-step explanation:

3x - 9y = 18

y = 1/3 x - 2  ... x intercept   0 = 1/3x -2        x=6

perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line

equation: (y-0)/(x-6) = -3

y = -3x +18

7 0
2 years ago
In ΔHIJ, the measure of ∠J=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ∠I to the nearest hundredth?
solmaris [256]

Answer:

0.86

Step-by-step explanation:

Draw the triangle.

Since ∠J=90°, this is a right triangle, so we can use SOH-CAH-TOA to find sin∠I.

sin∠I = 56/65

sin∠I = 0.86

5 0
3 years ago
One flight of stairs has a slope of 3/4 , while another flight of stairs contains points (-2,3) and (14, 15). Would these be par
shusha [124]

Answer:

Perpendicular

Step-by-step explanation:

m=y2-y1/x2-x1

m=15-3/14-(-2)

m=3/4

7 0
3 years ago
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