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Gnoma [55]
3 years ago
10

H²+10h=-21 solve quadratic trinomials

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0
H²+10h+21 = 0
h²+3h+7h+21 = 0
h(h+3)+7(h+3) = 0
(h+3)(h+7) = 0

h+3=0
h = -3

h+7=0
h=-7
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The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2). The answe is x_ _= somethin
guapka [62]
First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)

Next find the slope of the segment 1,0 and 5,-2  using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y. 

The slope is 4/2 or 2 
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2

Now plug in the coordinate (3, -1)  to find the y-intercept and the equation of that line will be complete


so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b


The final equation will be -1/2x + 0.5 =y

hope this helps:)

4 0
4 years ago
What is 23 + 23 - 789
Alex Ar [27]

Answer:

743

Step-by-step explanation:

23+23=46

789-46=743

4 0
3 years ago
Read 2 more answers
Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer t
katrin [286]

Answer:

the real answer is 1107.5 ft  

3

Step-by-step explanation:

Volume of Cone:

V=\frac{1}{3}\pi r^2h

V=  

3

1

​  

πr  

2

h

\text{Find radius:}

Find radius:

r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6

r=  

2

diameter

​  

=  

2

17.2

​  

=8.6

h=14.3\hspace{40px}r=8.6

h=14.3r=8.6

Needed information

V=

V=

\,\,\frac{1}{3}\pi r^2h

3

1

​  

πr  

2

h

V=

V=

\,\,\frac{1}{3}\pi (8.6)^2(14.3)

3

1

​  

π(8.6)  

2

(14.3)

Plug in

V=

V=

\,\,1107.54545168

1107.54545168

Evaluate in calculator

V\approx

V≈

\,\,1107.5\text{ ft}^3

1107.5 ft  

3

5 0
3 years ago
Indicate a general rule for the <img src="https://tex.z-dn.net/?f=%20n%5E%7Bth%7D" id="TexFormula1" title=" n^{th}" alt=" n^{th}
xenn [34]
Answer: option D) An = 3an - 9a

Justification:

1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):

2)

Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a

Therefore, it is an arithmetic sequence with difference d = 3a.

3) the general rule for the nth term of an arithmetic sequence is given by the formula:

An = Ao + d (n - 1)

Where Ao = -6a and d, as determined above, is 3a

=> An = -6a + 3a (n - 1)

Expand the parenthesis (distributive property) =>

An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
7 0
4 years ago
Trying to finish help
Margaret [11]
It’s the first answer. The function is y = x*2
8 0
3 years ago
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