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3 years ago

Which expressions are equivalent to 7b(3+c) ?

Mathematics

2 answers:

TEA [102]3 years ago

5 0

Answer:

21b+7bc

(7b⋅3)+(7b⋅c)

Step-by-step explanation:

7b(3+c)

distribute

7b* 3 + 7b *c

21b + 7bc

Alex777 [14]3 years ago

4 0

Answer:

The correct answer is B- 21b+7bc

Step-by-step explanation:

7b(3+c)

(7b)(3+c)

(7b)(3)+(7b)(c)

21b+7bc

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NEED ANSWERS ASAP PLEASE

weqwewe [10]

Answer:

Step-by-step explanation:

u can see its a right triangle u can see its kinda like 3-4-5 right triangle

75/5 = 15

21/3 = 7

ok so it doesn't work

now

75^2 - 21^2 = 5184

square root of 5184 = 72

3 0

3 years ago

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

Vedmedyk [2.9K]

F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x), this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) = 8 - 10(5x + 4)

   = 8 - 50x - 40

   = -50x + 8 - 40

   = -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.

5 0

3 years ago

Q6: Which is the graph of the polar equation r=1/1-sin theta.

AveGali [126]

Answer:

The correct answer is C.

Step-by-step explanation:

The given equation is;

$r=\frac{1}{1-\sin(\theta)}$

This implies that;

$r(1-\sin(\theta)=1$

$r-r\sin(\theta)=1$

Let us write in Cartesian coordinates by substituting;

$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$

$\sqrt{x^2+y^2}-y=1$

$\sqrt{x^2+y^2}=y+1$

Square both sides;

$(\sqrt{x^2+y^2})^2=(y+1)^2$

This implies that;

$x^2+y^2=y^2+2y+1$

$x^2=2y+1$

$y=\frac{1}{2}x^2-\frac{1}{2}$

This is an equation of a parabola that opens upwards with a y-intercept of $-\frac{1}{2}$ .

The correct choice is C

4 0

3 years ago

Which represent geometric sequences? Check all that apply.

Anon25 [30]

The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).

$\mathbf{a_n = a_{n-1}\times r}$ or $\mathbf{a_n = a_{1}\times r^{n-1}}$