Answer:
The answer is D. Vertex at (-7,-9).
Step-by-step explanation:
The equation is in vertex form, so you take the opposite of x and the constant stays the same. So, the opposite of 7 is -7 and -9 stays the same.
Answer:
A. 3.5
Step-by-step explanation:
The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.
So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.
You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.
Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.
Hope this helps! :)
Answer:
It is A
Step-by-step explanation:
Equation: 5x+1=9+3x
5x+1=9+3x
-1 -1
_________
5x=8+3x
-3x -3x
________
2x=8
__ __
2 2
<h2><u><em>
x=4</em></u></h2>
Answer:
Step-by-step explanation:
Convert the mixed numbers into improper fraction
Add the fractions : 25 / 6 and 7 / 3
While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.
To do so, first take the L.C.M of 6 and 3 which results to 6
Multiply the dividend by the reciprocal of the divisor.
Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same
Subtract 3 from 3
Divide 0 by 2
Hope I helped!
Best regards!
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet