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4 years ago

Solve the system of equations using the Substitution Method (show work)

1 answer:

3 0

Since both equations have 3y, we will substitute 3y.
2x-3y = 20 eq 1
rearrange
2x - 20 = 3y
sub the value of 3y into eq2
11x + (2x-20) = -1
11x + 2x - 20 = -1
13x = 19
x =19/13

sub value of x into any equation
2(19/13) - 3y =20
38/13 - 20 = 3y
-222/13 = 3y
y = -74/13

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Find the equation of the line which is parallel to y = 4x + 3 and goes through the point (4, 5)

skad [1K]

Answer:

y = 4x - 11

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

<u>Use point - slope equation and substitute the coordinates of the given point to get:</u>

y - 5 = 4(x - 4)
y - 5 = 4x - 16
y = 4x - 16 + 5
y = 4x - 11

7 0

3 years ago

1. Consider f(x) = 3x - 5

Rzqust [24]

Answer:

Step-by-step explanation:

Here we have the function

$f(x)=3x-5$

We want to find the following ratio:

$\frac{f(x+h)-f(x)}{h}$

Note that the limit of this for $h\rightarrow 0$ is equivalent to the derivative of the function.

Here we have:

$f(x+h)=3(x+h)-5=3x+3h-5$

And

$f(x)=3x-5$

Therefore we have

$f(x+h)-f(x)=3x+3h-5-(3x-5)=3h$

And therefore,

$\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3$

4 0

3 years ago

Find the other coordinate for the line 2x-3y=4 (2, )

qaws [65]

Search on Google that will be that easier And faster for you

3 0

3 years ago

A 25 foot ladder rests against a buliding . The base lf the ladder is 15 feet away from the base of the building. At what height

professor190 [17]

X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20

3 0

3 years ago

A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area.

Andrej [43]

Answer:

total surface area of cube is <u>6 * area of one side</u>

therefore area of one side is given 64cm^2

thickness is also given 5cm .

TSA is 64*5 = 320cm^2

hope it is helpful

4 0

3 years ago

Read 2 more answers