5+4=9 therefore the number is divisible by 9.
9×6=54
Then you find the prime factors of the two numbers that times together to make 54.
9=3×3
6=3×2
So 2×3×3×3=54
OR 2×3^3
If you were to graph y=x it would look like if you took the x axis and rotated it 45 degrees counterclockwise with the center of rotation on the origin
basically, it switches x and y
a reflection is like a miror
a reflection across y=x in equation would be
y=3x^2+5x-2 reflected across the y=x axis (aka the identity line) would be
x=3y^2+5y-2
Answer:
4476966756TTTVFD
Step-by-step explanation:
Answer:
<h2>D</h2>
Step-by-step explanation:
If pair of ratios does form a true proportion then:
![a:b=c:d\to\dfrac{a}{b}=\dfrac{c}{d}\to ad=bc](https://tex.z-dn.net/?f=a%3Ab%3Dc%3Ad%5Cto%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7Bc%7D%7Bd%7D%5Cto%20ad%3Dbc)
![A)\\\\8:14=20:35\to\dfrac{8}{14}=\dfrac{20}{35}\\\\(8)(35)=(14)(25)\\\\280=280\qquad\bold{TRUE}\\\\b)\\\\\dfrac{6}{10}=\dfrac{15}{25}\\\\(6)(25)=(10)(15)\\\\150=150\qquad\bold{TRUE}](https://tex.z-dn.net/?f=A%29%5C%5C%5C%5C8%3A14%3D20%3A35%5Cto%5Cdfrac%7B8%7D%7B14%7D%3D%5Cdfrac%7B20%7D%7B35%7D%5C%5C%5C%5C%288%29%2835%29%3D%2814%29%2825%29%5C%5C%5C%5C280%3D280%5Cqquad%5Cbold%7BTRUE%7D%5C%5C%5C%5Cb%29%5C%5C%5C%5C%5Cdfrac%7B6%7D%7B10%7D%3D%5Cdfrac%7B15%7D%7B25%7D%5C%5C%5C%5C%286%29%2825%29%3D%2810%29%2815%29%5C%5C%5C%5C150%3D150%5Cqquad%5Cbold%7BTRUE%7D)
![c)\\\\\dfrac{9}{5}=\dfrac{27}{15}\\\\(9)(15)=(5)(27)\\\\135=135\qquad\bold{TRUE}\\\\d)\\\\12:15=30:50\to\dfrac{12}{15}=\dfrac{30}{50}\\\\(12)(50)=(15)(30)\\\\600=450\qquad\bold{FALSE}](https://tex.z-dn.net/?f=c%29%5C%5C%5C%5C%5Cdfrac%7B9%7D%7B5%7D%3D%5Cdfrac%7B27%7D%7B15%7D%5C%5C%5C%5C%289%29%2815%29%3D%285%29%2827%29%5C%5C%5C%5C135%3D135%5Cqquad%5Cbold%7BTRUE%7D%5C%5C%5C%5Cd%29%5C%5C%5C%5C12%3A15%3D30%3A50%5Cto%5Cdfrac%7B12%7D%7B15%7D%3D%5Cdfrac%7B30%7D%7B50%7D%5C%5C%5C%5C%2812%29%2850%29%3D%2815%29%2830%29%5C%5C%5C%5C600%3D450%5Cqquad%5Cbold%7BFALSE%7D)
Answer:
17.54 ft
Step-by-step explanation:
Moving along the line from (–4.2, –6.4, 4.5) to (7.1, 2.2, 5.8), x increases by 11.3, y by 8.6 and z by 10.3.
Applying the Pythagorean Theorem twice, we get
(length of clothesline) = √( 11.3² + 8.6² + 10.3²), or 17.54 ft.