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3 years ago

The answer to find QS

Mathematics

2 answers:

weqwewe [10]3 years ago

7 0

Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:

QR+QS=RT+QR

(2x-4)+(2x-4)=(8x-43)+(2x-4)

Combine like terms:

4x-8=10x-47

Isolate Variable:

4x-8=10x-47

-4x -4x

6x-47=-8

Isolate Constant:

6x-47=-8

+47 +47

6x=39

Divide:

x=6.5

Check Your Answer:

(Plug in 6.5 as x)

(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)

18=18

olganol [36]3 years ago

3 0

Answer:

The measure of QS is 68 units.

Step-by-step explanation:

Given information: R is midpoint of QS, RS=2x-4, ST=4x-1, and RT=8x-43.

We need to find the value of QS.

From the given figure it is clear that points Q, R, S and T are collinear.

$RT=RS+ST$

$8x-43=(2x-4)+(4x-1)$

On combining like terms.

$8x-43=(2x+4x)+(-4-1)$

$8x-43=6x-5$

Isolate variable terms.

$8x-6x=43-5$

$2x=38$

Divide both sides by 2.

$x=19$

The value of x is 19.

It is given that R is midpoint of QS. It means R divides the line QS in two equal parts.

$QS=2(RS)$

$QS=2(2x-4)$

Substitute x=19 in the above equation.

$QS=2(2(19)-4)$

$QS=2(38-4)$

$QS=2(34)$

$QS=68$

Therefore the measure of QS is 68 units.

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5 0

3 years ago

How do you solve y=2x+7; 3x-y=-9 using substitution method. Explain please!!

eduard

The y's value is given in the first equation. $y=2x+7$ . Now to solve, we will, plug it's value in the second equation.

$3x-(2x+7)=-9\\ \\ 3x-2x-7=-9\\ \\ x=-9+7\\ x=-2\\$

Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)

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6 0

4 years ago

Read 2 more answers

A store has been selling 100 Blu-ray disc players a week at $600 each. A market survey indicates that for each $40 rebate offere

Sav [38]

Answer:

The rebate should be $220

Step-by-step explanation:

Demand Curve

It's the relationship between price (P) and quantity (Q) demanded a certain product or service.

(a) We need to find the function that relates both magnitudes assuming a linear equation. The equation of a line can be found with the point-point formula:

$\displaystyle Q-Q_1=\frac{Q_2-Q_1}{P_2-P_1}(P-P_1)$

Two sets of data are given: 100 Blu-ray disc players are sold a week at $600 each. The ordered pair for this condition is (P,Q)=(600,100).

The other point comes from the market survey: The number of units sold will increase by 80 (100+80=180) when the price goes down $40 (600-40=560). The new point is (P,Q)=(560,180)

We set up the equation of the demand

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