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s2008m [1.1K]
3 years ago
10

Evaluate -3x^2-4x=-1

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Use the Quadratic formula, 

x= -b +/- sqrt(b^2-4ac)
     -------------------------
                2a

x= 4 +/- sqrt(16+12)
     ----------------------
              -6

x = 4+/- sqrt(28)
      ---------------
            -6

x = 4 +/- 2*sqrt(7)
      ------------------
              -6

x= 2(2+/- sqrt(7))
     ------------------
            2(-3)


x= 2+/- sqrt(7)
     --------------
           -3
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A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?
inn [45]
This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

6 0
3 years ago
The midpoint of AB is M(-1, -2)M(−1,−2). If the coordinates of AA are (1, 3)(1,3), what are the coordinates of BB?
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4 0
2 years ago
Find the difference: 11 - 4.7
shutvik [7]

<u><em>Answer: 6.3 *The answer must be have a decimal point.*</em></u>

Explanation:

First, subtract by the numbers. Subtract it's going to be find the difference between the numbers.

11-4.7=6.3

You can also add by the numbers.

6.3+4.7=11

11-6.3=4.7

Hope this helps!

Thank you!

Have a great day!

7 0
3 years ago
Read 2 more answers
Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate
crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0
2 years ago
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