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3 years ago

Find the equation of the line that has slope -5/7 and which passes through (-1,-2)

Mathematics

2 answers:

bonufazy [111]3 years ago

5 0

Y=mx+b, m=slop and b = intercept point=(-1,-2)
=> -2 = -5/7(-1)+b => b= -2 -5/7= -21/7
=> y=-5/7x - 21/7

pickupchik [31]3 years ago

3 0

Use the formula

y+2=-5/7(x+1)
solve and you will get the equation which is
f(x)=-5/7(x)-19/7

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Solve the equation <br> 4b + 22 = 5(b + 4) − 1

djverab [1.8K]

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

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3 years ago

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Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0

3 years ago

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Find the product of z1 and z2, where z1 = 5(cos 60° + i sin 60°) and z2 = 7(cos 210° + i sin 210°)

Verizon [17]

Answer:

cos210=cos(180+30)=−cos30=−√32 . sin210=sin(180+30)=−sin30=−12 . 3(cos210+isin210) =3(−√32)+3i(−12). −(32)√3−(32)i. My favourite way of seeing that sin30=12 and cos30=√32 is ...

Step-by-step explanation:

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3 years ago

A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the

Elis [28]

Answer:

5 1/3 or 5.33333333333333333333333333333333333333333333333333333

Step-by-step explanation:

to find the scale factor, you must divide the two equal sides.

$\frac{6}{8}$

which equals

$\frac{3}{4}$ or 0.75

Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75

$\frac{4}{0.75}$

Which equals

5.333 repeating or 5 1/3

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

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3 years ago

In the United States, 30% of people own a cat and 3% of people own a bird. What is the probability of someone owning both a cat

Alex777 [14]

Answer: 9/100

Step-by-step explanation:

Probability of people own a cat:

P(cat)=30/100=0.3

Probability of people own a bird:

P(bird)=3/100=0.03

Probability of both own a cat and a bird

P(cat and bird)=(30/100) × (3/100)

=90/1000=9/100=9%

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3 years ago