Utah (/ˈjuːtɑː/ YOO-tah, /ˈjuːtɔː/ (About this soundlisten) YOO-taw) is a state in the Mountain West subregion of the Western United States. It is bordered by Colorado to the east, Wyoming to the northeast, Idaho to the north, Arizona to the south and Nevada to the west. It also touches a corner of New Mexico in the southeast. Of the fifty U.S. states, Utah is the 13th-largest by area; with a population over three million, it is the 30th-most-populous and 11th-least-densely populated. Urban development is mostly concentrated in two areas: the Wasatch Front in the north-central part of the state, which is home to roughly two-thirds of the population and includes the capital city, Salt Lake City; and Washington County in the south, with more than 170,000 residents.[9] Most of the western half of Utah lies in the Great Basin.
Answer: 
Step-by-step explanation:
Looking at the figure, you can see that the length is 5cm + 3cm = 8cm and the width is 2cm + 5cm + 2cm = 9cm.
The formula for area is length x width, therefore you do 8x9 which is 72.
Next, we solve for the two "dips" in the rectangle. We can do that by subtracting the area of the "mini-rectangles" from the whole figure:
72-2(2x3) = 60
Thus, 60cm^2 is your answer.
The answer is A
One revolution is equal to the circumference of the tire:
C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}
The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:
4,400div frac{44}{7}=4,400times frac{7}{44}=700
700 revolutions.
Answer:
Step-by-step explanation:
x=-2, x=3
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x^2+5x+6=(-2)^2+5(-2)+6=(-2)(-2)-10+6=4-10+6=-6+6=0
x^2+5x+6=3^2+5(3)+6=9+15+6=24+6=30
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x^2-x-6=(-2)^2-(-2)-6=4+2-6=6-6=0
x^2-x-6=3^2-3-6=9-3-6=6-6=0
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Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
