1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nalin [4]
3 years ago
10

Simplify expression -6x^2+4-x^2+15x

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0

Combine like terms

-6x² + (-x²) = -6x² - x² = -7x²

-7x² + 15x + 4 is your answer

hope this helps

You might be interested in
Given: KLMN is a trapezoid m∠N = m∠KML ME ⊥ KN , ME = 3√5 , KE = 8, LM:KN = 3:5 Find: KM, LM, KN, Area of KLMN
lora16 [44]
Q1)Find KM
As ME is perpendicular to KN, ∠KEM is a right angle
Therefore ΔKEM is a right angled triangle 
KE is given and and ME is also given, we need to find KM
for this we can use Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides.
KM² = KE² + ME²
KM² = 8² + (3√5)²
       = 64 + 9x5
KM = √109
KM = 10.44

Q2)Find LM
It is said that ratio of LM:KN is 3:5
Therefore if we take the length of one unit as x
length of LM is 3x
and the length of KN is 5x
KN is greater than LM by 2 units 
If we take the figure ∠K and ∠N are equal. 
Since the angles on opposite sides of the bases are equal then this is called an isosceles trapezoid. So if we draw a line from L that cuts KN perpendicularly at D, ΔKEM and ΔLDN are congruent therefore KE = DN
since KN is greater than LM due to KE and DN , the extra 2 units of KN correspond to 16 units 
KN = LM + 2x 
2x = KE + DN
2x = 8+8
x = 8
LM = 3x = 3*8 = 24

Q3)Find KN 
Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have;
same height ME = LD perpendicular distance between the 2 parallel sides 
same right angle when the perpendicular lines cut KN
∠K = ∠N 
when 2 angles and one side of one triangle is equal to two angles and one side on another triangle then the 2 triangles are congruent according to AAS theorem (AAS). Therefore KE = DN 
the distance ED = LM
Therefore KN = KE + ED + DN
 since ED = LM = 24
and KE + DN = 16
KN = 16 + 24 = 40
another way is since KN = 5x and x = 8
KN = 5 * 8 = 40

Q4)Find area KLMN
Area of trapezium can be calculated using the following general equation 
Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)
where perpendicular height - ME
2 parallel sides are KN and LM
substituting values into the general equation
Area = 1/2 * ME * (KN+ LM) 
         = 1/2 * 3√5 * (40 + 24)
         = 1/2 * 3√5 * 64
         = 3 x 2.23 * 32
         = 214.66 units²


8 0
3 years ago
Read 2 more answers
QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving
GarryVolchara [31]

Answer:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

X \sim Unif (a=284.7, b=310.6)

And for this case the probability density function is given by:

f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6

And the cumulative distribution function is given by:

F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6

And we want to find this probability:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

6 0
3 years ago
1-(1.00375) exponent-12(30)
victus00 [196]

Answer:

360

Step-by-step explanation:

7 0
3 years ago
Is this right answer??
Lyrx [107]
Yes that is correct
7 0
3 years ago
Freeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
REY [17]

Answer:

thanks!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the median of 23 2 5 14 25 36 27 42 12 8 7 23 29 28 11 20 31 8 36
    13·1 answer
  • Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed h
    12·1 answer
  • Kevin designs a sprinkler system for his yard. One rotation of the the sprinkler waters a circle with an area of 255pie square f
    14·1 answer
  • How do you work this out?
    5·2 answers
  • The philosophers Socrates, Plato, and Aristotle shared what common belief? A) democracy is the best form of ruling the masses B)
    13·2 answers
  • Can y’all help me on a question 15?!
    10·2 answers
  • Please help me with My algebra. I'm stressing a lot right now so Thank you.
    9·1 answer
  • Me puedes ayudar es para hoy porfavor ​
    7·1 answer
  • Select all the correct answers.
    8·2 answers
  • . What is the volume of the cylinder below? 1 PS 10 in. 30 in. ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!