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2 years ago

Which of the following is considered a

Mathematics

1 answer:

Mariulka [41]2 years ago

8 0

Answer:

Step-by-step explanation:

Students loan as it's money owed to a supplier.

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−3x − 8y = 20 −5x + y = 19 solved by substitution

beks73 [17]

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = $\frac{-212}{3}$

y = 24

Step-by-step explanation:

-3x - 8y = 20 .... (1)

-5x + y = 19 .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = $\frac{-212}{3}$

7 0

3 years ago

Read 2 more answers

How can the statement below be rewritten as a conditional statement in if-then form?

Irina-Kira [14]

Answer:

<h2>If two angles measures 180 degrees, then they form a linear pair.</h2>

Step-by-step explanation:

The conditional statement should be this way, because after the word ''if'', should be placed the condition, and after the word ''then'', should be the consequence.

5 0

3 years ago

Please help this is important for me.

Anit [1.1K]

<h3>Answer: point Q is located at (-1, 1)</h3>

=================================================

Explanation:

Check out the diagram below.

Plot R(-3,7) and T(3,-11) on the same xy grid.

Draw a vertical line through R and a horizontal line through T. A right triangle forms. At the intersection point is point S(-3,-11)

----------------------

Now measure the distance from point S to point T. You can count out the spaces or subtract the x coordinates and use absolute value.

|x1-x2| = |-3-3| = |-6| = 6

From point S to point T is 6 units.

We want to subdivide this horizontal length in the ratio 1:2

What this means is that we want to plot a point U somewhere such that SU:UT = 1:2

In other words,

SU = x

UT = 2x

SU+UT = ST

x+2x = 6

3x = 6

x = 6/3

x = 2

So we must move 2 spaces to the right from point S to get to U(-1,-11)

Going from point U(-1,-11) to T(3,-11) is 4 spaces

We have SU:UT = 2:4 = 1:2 to help confirm we have the correct location for point U

From point U, we then move straight up to the line segment RT

We'll land on Q(-1,1)

----------------------

Another way to find the y coordinate of point Q is to subdivide the segment RS into the ratio 1:2 similar to how we divided ST up

Segment RS is 18 units long since we go from y = 7 to y = -11 when going from R to S.

If V was on segment RS such that

RV:VS = 1:2

and RV = y

then

RV+VS = RS

y+2y = 18

3y = 18

y = 6

RV = y = 6

VS = 2y = 2*6 = 12

So you'll move 6 units down from y = 7 to land on y = 1 (when going from the y coordinate of R to the y coordinate of Q)

3 0

3 years ago

Need help I don’t understand what it means

netineya [11]

Answer:

b) - 10

Step-by-step explanation:

<h3>Average rate of change:</h3>

To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).

$\sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}$

a = 4 ; f(a) = -17

b = 6 ; f(b) = -37

$\sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}$

$\sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10$

7 0

2 years ago

The side s of a square carpet is measured at 5 ft. Estimate using the Linear Approximation the maximum error in the area A of th

KonstantinChe [14]

Answer:

$0.333 ft^2$

Step-by-step explanation:

We are given that

Side of square carpet,s=5 ft

$\Delta s=0.4 in=\frac{0.4}{12}ft$

1 foot=12 in

We have to find the maximum error in the area of the carpet by using the linear approximation .

Area of square,A= $(side)^2=s^2$

$dA=2sds$

Substitute the values

$dA=2\times 5\times \frac{0.4}{12}$

$dA=0.333ft^2$

Hence, the maximum error in the area of the carpet= $0.333 ft^2$

4 0

3 years ago