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Travka [436]
3 years ago
5

Find (−3d2+10d−8)−(7d2−d−6). The difference is .

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

-10d^2 + 11d - 2

To find this, distribute the - to 7d^2 - d - 6.

This will give you a new equation of:

-3d^2 + 10d - 8 -7d^2 + d + 6

Combine like terms to get the answer above.

Hope this helps!

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13
Sunny_sXe [5.5K]

Answer: A 13.4

Step-by-step

a^2 + b^2= c^2 4^2 + b^2 = 14^2 16+ b^2= 195 b^2= 180 b= square root of 180 b= 6 square root of 5 or 13.42

7 0
2 years ago
Solve for x in the equation X^2 - 8X + 41= 0
BaLLatris [955]

Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/-  (√64 - 164)/2

x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

8 0
3 years ago
J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
lana [24]
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2 
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25

JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
4 0
3 years ago
The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in th
umka2103 [35]

Answer:

...what :V

Step-by-step explanation:

4 0
2 years ago
What is the product of the polynomials below? (6x3 + 3x)(x2 + 4)
shutvik [7]
6x5+24x3+3x3+12x ------> Simplify by adding like terms

6x5 + 27x3 + 12x
5 0
3 years ago
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