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nlexa [21]
3 years ago
13

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the g

iven equation.
​(−8​,−8​); y=−3x+5
Write an equation for the line in​ slope-intercept form.
Mathematics
1 answer:
Bumek [7]3 years ago
5 0
Your parallel equation would be y=-3x-32.
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Six years ago, Robert’s age was __________. A = Robert’s present age Which expression models this situation? A) 6A B) A + 6 C) A
atroni [7]
Answer :
C because if you want his age six years ago, you need to take his present age (A) and subtract 6



5 0
3 years ago
A building in a city has a rectangular base. the length of the base measures 65 ft less than twice the width. the perimeter of t
dybincka [34]

By solving a system of equations, we will see that the width is 170ft and the length 275 ft.

<h3>How to get the dimensions of the base?</h3>

For a rectangle of length x and width y, the perimeter is:

P = 2*(x + y).

Here we know that:

x = 2y - 65ft

p = 890ft = 2(x + y)

So we have a system of equations.

To solve this, we need to replace the first equation into the second one:

890ft = 2(x + y)

890ft = 2(( 2y - 65ft) + y)

Now we can solve this for y.

890ft = 4y - 130ft + 2y

890ft + 130ft = 6y

1020ft/6 = y = 170ft

So the width is 170ft, and we know that:

x = 2y - 65ft = 2*(170ft) - 65ft = 275ft

So the length is 275 ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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5 0
1 year ago
Determine whether the statements in (a) and (b) are logically equivalent.
Andru [333]

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

5 0
3 years ago
Read 2 more answers
Given the function f(x)=X^2- 3x, find f(-4)
sladkih [1.3K]
Put -4 in place of x
-4 to the second power is 16 so it would be 16-(-12)= 28
5 0
2 years ago
For the following sequence, state if its arithmetic, geometric or neither -4, 12, -36, 108, -324...
Strike441 [17]
Geometric because the common factor is -3. each time it’s being multiplied by negative 3.
ANSWER/// GEOMETRIC
6 0
3 years ago
Read 2 more answers
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