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2 years ago

Multiply (3x+2)(x-5)

Mathematics

2 answers:

Mama L [17]2 years ago

7 0

Answer:

3x^2-13x-10

Step-by-step explanation:

(3x+2)(x-5)

3x^2-15x+2x-10

3x^2-13x-10

jasenka [17]2 years ago

6 0

Answer:

The answer is 3x^2-13x-10

Step-by-step explanation:

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

$M=(\frac{d}{2},\frac{c}{2})$

We can also determine the coordinates of point N as:

$N=(\frac{a+b}{2},\frac{c}{2})$

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

$MN=\frac{a+b}{2}-\frac{d}{2}$

Subtracting the fractions we get:

$MN=\frac{a+b-d}{2}$

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

$A=(0,0)$

The coordinates of B are:

$B=(a,0)$

Therefore, the length of segment AB is:

$AB=a$

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

$C=(b,c)$

The coordinates of D are:

$D=(d,c)$

Therefore, CD is:

$CD=b-d$

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

$MN=\frac{1}{2}(a+b-d)$

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0

1 year ago

HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadran

Keith_Richards [23]

9514 1404 393

Answer:

Step-by-step explanation:

In the second quadrant, ...

c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

$\dfrac{21+24\sqrt{7}}{100}\approx 0.84498$

_____

Perhaps you want to work this out using the trig identities.

cos(c) = -√(1 -sin(c)²) = -7/25

sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

cos(c+d) = (21 +24√7)/100 . . . . matches choice D

8 0

2 years ago

Please help! 20 points!!!

KonstantinChe [14]

Answer:

SOLUTION STEPS

+−6

Multiply 6 and 8 to get 48.

48+5

−

6×3+1

Add 48 and 5 to get 53.

−

6×3+1

Multiply 6 and 3 to get 18.

−

18+1

Add 18 and 1 to get 19.

−

Least common multiple of 8 and 3 is 24. Convert

and

to fractions with denominator 24.

159

−

152

Since

159

and

152

have the same denominator, subtract them by subtracting their numerators.

159−152

Subtract 152 from 159 to get 7.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and d

Musya8 [376]

The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes

then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes

4 0

3 years ago

Read 2 more answers

9+n=-2<br> how do i find the unknown exponent n?

slega [8]

9 + n = -2
-9 -9 Get rid of 9 from both sides

n = -2 - 9

n = -11

7 0

2 years ago