1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elza [17]
3 years ago
12

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.

You might be interested in
Find the slope of (1, 2), (-1, -2). Reduce all fractional answers to lowest terms
tamaranim1 [39]

Answer:

The slope is 2

Step-by-step explanation:

The slope is equal to

m = (y2-y1)/(x2-x1)

   = (-2-2)/(-1-1)

   = -4/-2

   = 2

8 0
3 years ago
Anyone know the answer and the check to the equation 7 - 4c = 3c - 7 ?
Gelneren [198K]

Answer:

c=2

Step-by-step explanation:

7-4c=3c-7

7+7=3c+4c

14=7c

Dividing both sides by 7

c=2

CHECK:

Putting c in the above equation

7-4(2)=3(2)-7

7-8=6-7

-1=-1

Hence the above solution satisfies the given equation

3 0
3 years ago
Read 2 more answers
What is the absolute value of 2|x+5|-3=7
Paladinen [302]

Answer:

Step-by-step explanation:

x= -5 or x=2

that's what i think it is.

4 0
3 years ago
Heellllllllllllllllllllppppppppppppppppppppppppppp
tatyana61 [14]
The slope or also known as “m” equals 4/4 or 1 in simplified form.
4 0
3 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
Other questions:
  • What is the value of the sum -3/8 + 5/16 will give brainlyiest
    8·1 answer
  • You budget 30% of your annual after-tax income for housing Your after-tax income
    11·1 answer
  • Given sin A =11\61 and that angle A is in Quadrant I find the exact value of tan A in simplest radical form using a rational den
    13·1 answer
  • F. The number of tennis shoes produced by a
    15·1 answer
  • Can someone teach me how to do this????
    14·1 answer
  • Adrian and his children went into a restaurant where they sell hotdogs for $3 each
    8·1 answer
  • An economic model predicts that the supply, s, and the demand, d, for a new product can be estimated using the
    10·1 answer
  • Which point is the vertex for the graph of y = |x| + 2?
    13·1 answer
  • How do the graphs of f(x)= x and g(x)= 3|x| relate
    6·1 answer
  • 12. For which of the following quadratic equations are the roots 2 and 57
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!