All categories

3 years ago

If R is the midpoint of QS , QR = 8x - 51 and RS = 3x-6 whafs is QS.

Mathematics

2 answers:

Rufina [12.5K]3 years ago

5 0

Answer:

438 units

Step-by-step explanation:

Given :R is the midpoint of QS , $QR = 8x - 51$ and $RS = 3x-6$

To Find : What is QS?

Solution:

Since R is the Mid Point of QAS

So, QR = RS

$8x - 51=3x-6$

$8x - 3x=51-6$

$5x=45$

$x=9$

QS = QR+RS

$QS= 8x-51+3x-6$

$QS= 11x-57$

x = 45

$QS= 11(45)-57$

$QS= 438$

Hence the length of QS is 438 units .

RoseWind [281]3 years ago

3 0

If R is the midpoint, then R splits QS into 2 equal sections. Therefore, QR = RS.

8x - 51 = 3x - 6
8x - 3x = -6 + 51
5x = 45
x = 45/5
x = 9

so QR = 8(9) - 51 : 72 - 51 = 21 and RS = 3(9) - 6 = 27 - 6 = 21
so QS = 21 + 21 = 42 <==

You might be interested in

Write 7x10^-8 in standard form

attashe74 [19]

Answer:

The answer would be 0.00000007

6 0

3 years ago

Read 2 more answers

1/4 = x/12 solve for x

Vedmedyk [2.9K]

Answer: x=3
First you cross multiply
Next you swap sides then divide both sides by 4

6 0

3 years ago

In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you w

aivan3 [116]

Answer: packages of buns: 100

packages of patties: 67

jars of pickles: 133

(100,67,133)

Step-by-step explanation: packages of buns: B

packages of patties: P

jars of pickles: J

B:P:J = 3:2:4

B + P + J = 300

Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.

Bx + Px + Jx = 300

3x + 2x + 4x = 300

x = 300/9

So,

3.300/9 = 100

2.300/9 = 66.6666

4.300/9 = 133.333

As we cannot buy 0.666 or 0.33 of patties and pickles, we round up

So: packages of buns: 100

packages of patties: 67

jars of pickles: 133

7 0

3 years ago

Answer it pls option c

Troyanec [42]

Answer:

$x = \frac{1}{4}$

Step-by-step explanation:

$\frac{x}{2} +\frac{3}{4} =\frac{7}{8}$

→ Find the LCM of the denominators (2,4 and 8)

LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

4x + 6 = 7

→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

$x = \frac{1}{4}$

5 0

3 years ago

Read 2 more answers

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$