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3 years ago

Which model represents a factor of 4x^2-9

Mathematics

2 answers:

Gnom [1K]3 years ago

6 0

Answer:

The top is 4x^2 -9

Step-by-step explanation:

The blue squares are negative and the orange squares are postive

The top has 4x^2 +9x -9x -9

The bottom has 4x^2 +3x-3x+3x-3x +9

lina2011 [118]3 years ago

4 0

The second square is the answer

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Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

Write 6300 kg in grams in standard form <br> please u got 5 mins !!!!

Whitepunk [10]

6300kg = 6300000g 6300000g = 6.3 x 10^6

6 0

2 years ago

the function f has a domain of {1,3,5,7} and a range of {2,4,6}. could f be represented by {(1,2),(3,4),(5,6),(7,2)}? justify yo

maria [59]

Yes, f could be represented by this relation. This is because for a relation to be a function, every x value should have one and only one y value; when you plot the points, the graph must pass the vertical line test, which states that for a graph to be a function, a vertical line can only pass through the graph once in any part of the graph.
Hope this helps!

5 0

3 years ago

HEEEELLLLP PPPPLLLLLZZZZ T^T

Rashid [163]

Answer:

1st pic: -25<-20

2nd pic: point c

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The band at charles high school had a concert for charity. They raised $15,000. Adult tickets were $5 each and student tickets w

Vika [28.1K]

Answer:

Adults =1500 and student= 2500

Step-by-step explanation:

Step one:

GIven data

let Adults be x and student be y in numbers

5x+3y=15000------------1

x+y=4000---------------------2

from 1

x=4000-y, put this in 2, we have

5(4000-y)+3y=15000

20000-5y+3y=15000

-2y=15000-20000

-2y= -5000

2y=5000

divide both sides by 2

y= 2500

put y= 2500 in 2

x+2500= 4000

x= 4000-2500

x=1500

3 0

3 years ago