Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.

Answers

Answer 1

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

Answer 2

The length of segment YZ can be found using the segment addition

postulate that specifies the relationship between the segments.

The numerical length of YZ is 13

Reasons:

The given location of point Y = Between points X and Z

Length of XY = 3·x - 4

Length of YZ = 2·x + 3

Length of XZ = 24

Required:

The length of YZ

Solution:

XY + YZ = XZ according to segment addition postulate

Therefore;

3·x - 4 + 2·x + 3 = 24

Which gives;

5·x - 1 = 24

5·x = 24 + 1

[tex]x = \dfrac{24 + 1}{5} = 5[/tex]

x = 5

YZ = 2·x + 3

Therefore;

YZ = 2 × 5 + 3 = 13

The numerical length of YZ is 13

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Related Questions

Use the dropdown to complete the following inequality.

Answers

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

f(x) = 3x + 5
g(x) = 4x^2 – 2
h(x) = x^2 – 3x + 1

Find f(x) – g(x) – h(x).

Answers

Answer:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

Step-by-step explanation:

Copy f(x) as is:            f(x) = 3x + 5

Negate g(x):              -g(x) = -4x^2 + 2

Negate h(x):               -h(x) = -x^2 + 3x - 1

Now combine like terms:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

HURRY PLEASE!! I’ll mark you as brainliest!! im being timed

the graph represents the water path of a fire hose. what is the maximum value of the function? explain what the maximum value represents in this situation.

Answers

Answer:

24 will be the maximum value of this graph

Answer: the maximum value is 24 vertical and 20 horizontal

Step-by-step explanation:

3.14 × 6.25..............

Answers

Answer:

calculator says 19.625

Answer:

19.625

Step-by-step explanation:

Parents will kill me if I don't get this done in an hour (BRAINLIEST IF ANSWER IS CORRECT AND WORK IS SHOWN)

Answers

Answer: -3 1/2 and -6

Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.

Answers

9514 1404 393

Answer:

  D.  The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

Can someone plzz answer this!!?

Answers

Answer: B Angle Side Angle

Step-by-step explanation:

Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.

Please help me I will really appreciate it!!!

Answers

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?

Answers

Answer:

2cm

Step-by-step explanation:

Step one:

given data

for the large cube

the volume= 125cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

125=l^3

l=∛125

l=5cm

Step two:

given data

for the large cube

the volume= 27cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

27=l^3

l=∛27

l=3cm

The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cm

I Need help please!!!

Answers

Just use substitution, y intercept is 3 so it would be 3= -2(5) I’m not an expert but I tried.

mr. and Mrs . Coronado took a bus to belmopan . they left at 7:15 a.m. and arrived at 8:00 a.m . How long was the trip show ur working out and thank u once again ​

Answers

Answer:

The trip was 45 minutes

Step-by-step explanation:

you take 60 minutes which is an hour and subtract 15 to get 45 minutes

Will mark brainliest!! Please answer ASAP

Will give extra points!!!

Please let me know if the picture above answer is correct or not and tell me the right answer!

Second question-

Which linear equation can be used to represent a line parallel to the x axis that passes through the point (8,5)

1) y=5

2) y=x+8

3) y=x+5

Answers

Answer:

y=5

Step-by-step explanation:

y= 5 is always parallel to x axis

Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.

Answers

Answer:

yes they are congruent because they are the same size

Step-by-step explanation:

theyre the same size so yes

slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)

Answers

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please

Answers

Answer:

Property of Equality

Step-by-step explanation:

Answer:Property of Equality

STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:

PLEB

Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O

Answers

Answer:

8x-3y=3

Step-by-step explanation:

Its the only one that would give you a negative x

Write the expression in simplest form.
(11 + 3) – 2(- 4 1 - 1) =
NIO

Answers

Answer:

11+3=14

-41-1=-42

14-2(-42)

-2(-42)

14+84

98

I hope this is good enough:

a science teacher has 12 g of marble chips. Each lab station needs 0.5 g of marbles chips. How many lab station can she supply?

Answers

Answer:

24

Step-by-step explanation:

Since each lab station needs 0.5 grams of chips, we have to divide 0.5 from 12.

12/0.5 = 24

Extremely easy question marking Brainliest answer

Answers

Answer:

It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.

(0,0)

(1,9.7)

(4,38.8)
Question 2
The unit rate is
feet per second.

Answers

Answer:

2

Step-by-step explanation:

2

PLEASE HELP ME ASAP??!Which of the following are valid names for the triangle below? Check all that
apply.

Answers

Answer:

A, E

Step-by-step explanation:

Answer:

a,e

Step-by-step explanation:

Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

Answers

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7) 0.356

b) log₇ (¹⁴⁷/₁₆)

log (¹⁴⁷/₁₆)

          log (7)

1.1397

Simplify the expression

Answers

Answer:

           f(y) = y            g(y) = y - 6

Step-by-step explanation:

[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]

what do you need to add to 2 4/7 to make 4

Answers

answer=0.58

Step-by-step explanation:

24/7= 3.42 ,so you subtract this from 4 to get 0.58

(1,-19),(-2 -7) finnd the slope to this equation

Answers

Answer:

slope is 4

Step-by-step explanation:

15. The diameter of a circle is given as 10 cm, correct to the nearest cm. Calculate:
a) the maximum possible circumference
b) the minimum possible area of the circle consistent with this data

Answers

Answer:

10cm correct to nearest cm" means the diameter could be arbitrarily close to (but less than) 10.5 cm. So the maximum possible circumference is 10.5π cm.

"10cm correct to nearest cm" also means that the diameter could be arbitrarily close to (but greater than) 9.5 cm. So the minimum possible area is π(9.5)²/4 cm²

What is 2M?
M=[3 5]
[-4 0]

Answers

Answer:

2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Step-by-step explanation:

Given the matrix

[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]

Multiplying by 2 will basically be a scalar multiplication.

Therefore, multiply each of the matrix elements by a scalar.

[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]

        [tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Hence, 2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Give the domain and range of the relation.

Answers

Answer:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

it c

The answer would be c because the domain is the X axis and the Range is the Y axis

Will give brainliest find the slope.

Answers

Answer:

-1/10 for first one and -4/2 for second one

Step-by-step explanation:

lol can I have brainliest?

Hello!

Okay, so: To find the slope, you can use the slope formula: y2-y1/x2-x1...

Let's begin.

Start by plugging in given values into the formula. We can see from looking at the chart that,

y2 = -2

y1 = 3

x2 = 2

x1 = -8

Those are for set 1. So, Let's plug these values into the slope formula:

-2 - 3/2 - (-8)

Subtract

-5/10

Now divide

-1/2 or -0.5

Okay, now let's move on to Set 2.

Set 2:

We're going to do the exact same thing here that we did earlier. Given from the chart:

y2 = -3

y1 = -1

x2 = -2

x1 = 4

Plug them into the formula:

-3 - (-1) / -2 - 4

Subtract

-2 / -6

Divide

1/3

So, for set 1, the slope is -1/2. For set 2, the slope is 1/3.

(19 -16), (-7 -15) find the slope

Answers

(19,-16),(-7,-15)
-15-16=-31
-7-19=-26
Hope this helps
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