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
mixer [17]
3 years ago
7

Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

You might be interested in
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
julsineya [31]

Answer:

4

Step-by-step explanation:

t = d/r

t = 280/70

t = 4 hours

6 0
3 years ago
What does the 9 stand for in 4.59
velikii [3]
4 and 59 hundredths so the 9 is in the hundredths.
8 0
3 years ago
Consider △ABC and △DEF.
gogolik [260]
The answer would be the first option

because the size of the shape is not altered
8 0
3 years ago
Read 2 more answers
PLEASE HELP
jenyasd209 [6]

Answer:

Step-by-step explanation:

F(x) results in a parabola with vertex (0,0) wich mean there is only one x-int at that point. g(x) has been shifted the grapgh of f(x) to the right by to units and down by three unites. Now our vertex lies in the point (2,-3) and since the graph was move dow i=of the x-axis we now have two different x-intercepts.

7 0
3 years ago
Let T:P3→P3 be the linear transformation such that T(â’2x2)=3x2+4x, T(0.5x+3)=â’3x2+3xâ’4, and T(2x2â’1)=â’3x+4. Find T(1), T(
balu736 [363]

It looks like we're told that

T(-2x^2)=3x^2+4x

T\left(\dfrac12x+3\right)=-3x^2+3x-4

T(2x^2-1)=-3x+4

We use the fact that T is linear to find T(1),T(x),T(x^2). First, we notice that

T(-2x^2)+T(2x^2-1)=T(-2x^2+2x^2-1)=T(-1)=-T(1)

We also have

T\left(\dfrac12x+3\right)=T\left(\dfrac12x\right)+T(3)=\dfrac12T(x)+3T(1)

T(2x^2-1)=T(2x^2)-T(1)=2T(x^2)-T(1)

So once we find T(1), we can determine T(x) and T(x^2). We have

T(1)=-\left(T(-2x^2)+T(2x^2-1)\right)\implies T(1)=-3x^2-x-4

and using this we find

T(x)=12x^2+12x+16

T(x^2)=-\dfrac32x^2-2x

Then

T(ax^2+bx+c)=T(ax^2)+T(bx)+T(c)=aT(x^2)+bT(x)+cT(1)

T(ax^2+bx+c)=-\dfrac32\left(a-8b+2c\right)x^2-(2a-12b+c)x+16b-4c

8 0
3 years ago
Other questions:
  • One week 72 people got a speeding ticket the next week only 36 people get a speeding ticket what is the percentage of change in
    15·2 answers
  • How do you solve U/6=9
    10·1 answer
  • Y = x +4<br> 3x + y = 16
    7·1 answer
  • 4(5t - 7)=10t+2 how to simplify equation
    6·1 answer
  • Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a
    8·1 answer
  • Alex has a collection of sports cards. There are 10 cards in the collection, and 1/5 of them are hockey cards. Alex decides to d
    10·1 answer
  • Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
    10·2 answers
  • The 6 boys in Ms.dreyvus’ class always ran together during recess.
    11·2 answers
  • Please help me and use laws of exponents​
    15·1 answer
  • I need to know this now please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!