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3 years ago

What’s the equation of a line that passes through (-6,5) (-3,-3)

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

<em><u>SLOPE FORMULA:</u></em>

$\Rightarrow \displaystyle \mathsf{\frac{Y_2-Y_1}{X_2-X_1} }}$

Y2=(-3)

Y1=5

X2=(-3)

X1=(-6)

Solve.

$\displaystyle \mathsf{\frac{-3-5}{-3-\left(-6\right)}=\frac{8}{3}=-\frac{8}{3} }}}$

Then, compute by the y-intercept.

<u><em>SLOPE INTERCEPT FORM FORMULA:</em></u>

$\displaystyle \mathsf{Y=MX+B}}$

y=(-8/3)x+b

(-6,5)

X=(-6)

Y=5

5=(-8/3)(-6)+b

Isolate b on one side of the equation.

(-8/3)(-6)+b=5 (Switch sides.)

Remove parenthesis.

8/3*6+b=5

8*6/3

Multiply.

8*6=48

Divide.

48/3=16

16+b=5

b+16=5 (Switch sides.)

Then, subtract 16 from both sides.

b+16-16=5-16

Solve.

5-16=-11

b=-11

So, the correct answer is y=-8/3x-11.

You might be interested in

Rearrange the equation to isolate A.<br> H=K+log(A/C)

Xelga [282]

Answer:

$A=C(10)^{H-K}$

Step-by-step explanation:

The given equation is

$H=K+\log(\frac{A}{C}$

Subtract K to both sides of the equation

$H-K=\log(\frac{A}{C}$

Now, use the property, $x=\log y\Rightarrow y=10^x$

$10^{H-K}=(\frac{A}{C}$

Multiply both sides by C to isolate A

$A=C(10)^{H-K}$

The value of A is

$A=C(10)^{H-K}$

3 0

3 years ago

Read 2 more answers

Thanks guys for helping me guys question 6

viktelen [127]

So, doing a guess and check,

Liza's house.

From Liza's house to the Park it is 5 $\frac{1}{2}$ miles.

From the Park to the Library it is also 5 $\frac{1}{2}$ miles.

From the Library to Dan it is 4 miles.

From Dan it is 3 miles back to Liza's house.

So you must add all those together,

5 $\frac{1}{2}$ +5 $\frac{1}{2}$ +4+3

We got lucky because 5 $\frac{1}{2}$ +5 $\frac{1}{2}$ have common denominators.

So,

5 $\frac{1}{2}$
+
5 $\frac{1}{2}$

=11 ( $\frac{1}{2}$ + $\frac{1}{2}$ =1, so 5+5+1)

So that is 11, then,

11+4+3=18

18 miles total.

This is your route. From Liza's house to the Park, then Library, then Dan's, then back to Liza's house.

5 0

3 years ago

Write two different integers x, y, and z, and meet the following conditions. they do not all have the same sign and x-y-z=0

svlad2 [7]

Two different integers are the same numbers, which have different signs.

<h3>What is integers?</h3>

An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97.

Given that,

x, y, and z are three integers. They follow the one condition: x-y-z = 0.

Any number in the number system that has only two signs, either + or -, So we consider that the third integer is 0 because 0 is a whole number that has neither a positive nor a negative sign.

The remaining two integers are the same numbers, but they have different signs to follow the given condition.

x-y-z = 0

x = y+z

Let y,z are the same numbers, They have different signs and x = 0.

Note: The value of x is always negative and y's value is always positive.

Example:

x = 0, y = +6, z = -6

x-y-z = 0

x = y+z

0 = +6-6

0 = 0

Hence, two different integers are the same numbers, which have different signs.

To learn more about integers from the given link:

brainly.com/question/17695139

#SPJ4

5 0

2 years ago

Judy says that she built a triangular garden over the weekend and that the sides measure 17 feet, 36 feet, and 16 feet. Are thes

Reptile [31]

The triangle inequality theorem says that the sum of the lengths of any two sides of the triangle must be greater than the length of the third side (see picture) and this must be true for all sides for it to be a real triangle

Let's say a = 17 ft, b = 36 ft, and c = 16ft.
We know that:
$a + b \ \textgreater \ c\\
a + c \ \textgreater \ b\\
b + c \ \textgreater \ a$

Plug our numbers in and check whether each inequality is true or not. If they are all true, then the dimensions are possible. If one or more isn't true, then the dimensions are not possible:
$17 + 36 = 53\ \textgreater \ 16 \:\:\:\: True\\ 
17 + 16 = 33 \ \textgreater \ 36 \:\:\:\: False\\
36 + 16 = 52 \ \textgreater \ 17 \:\:\:\: True$

Since a + c (17+16) is not greater than b (36), the dimensions are not possible because it does not follow the triangle inequality theorem.

5 0

3 years ago

HELP DUE NOW

ruslelena [56]

Formula for rectangle: A=lw || Formula for triangle: A=bh/2 || Formula for circle: πr²
Now we solve:A
A= (3ft)(4ft)
= 12 ft
A= (6ft)(4ft) /2
= 24 / 2
= 12 ft
A= (3.14)(8)²
= (3.14)(64)
= 200.96 ft
12 + 12 + 200.96 = 224.96 ft ²

7 0

3 years ago