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:
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 13Reasons:
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
Learn more here:
https://brainly.com/question/4710687
f(x) = 3x + 5
g(x) = 4x^2 – 2
h(x) = x^2 – 3x + 1
Find f(x) – g(x) – h(x).
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
Parents will kill me if I don't get this done in an hour (BRAINLIEST IF ANSWER IS CORRECT AND WORK IS SHOWN)
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.
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.
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
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)
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.
Answer:
yes they are congruent because they are the same size
Step-by-step explanation:
theyre the same size so yes
I Need help please!!!
3.14 × 6.25..............
Answer:
calculator says 19.625
Answer:
19.625
Step-by-step explanation:
(19 -16), (-7 -15) find the slope
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
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
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
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
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
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
Please help me I will really appreciate it!!!
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?
Answer:
2cmStep-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= 2cmPLEASE HELP ME ASAP??!Which of the following are valid names for the triangle below? Check all that
apply.
Answer:
A, E
Step-by-step explanation:
Answer:
a,e
Step-by-step explanation:
what do you need to add to 2 4/7 to make 4
answer=0.58
Step-by-step explanation:
24/7= 3.42 ,so you subtract this from 4 to get 0.58
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
Answer:
y=5
Step-by-step explanation:
y= 5 is always parallel to x axis
Can someone plzz answer this!!?
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.
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
Answer:
Property of Equality
Step-by-step explanation:
Answer:Property of Equality
STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:
PLEB
Simplify the expression
Answer:
f(y) = y g(y) = y - 6Step-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]
Give the domain and range of the relation.
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
Write the expression in simplest form.
(11 + 3) – 2(- 4 1 - 1) =
NIO
Answer:
11+3=14
-41-1=-42
14-2(-42)
-2(-42)
14+84
98
I hope this is good enough:
What is 2M?
M=[3 5]
[-4 0]
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.
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.
Answer:
24 will be the maximum value of this graph
Answer: the maximum value is 24 vertical and 20 horizontal
Step-by-step explanation:
(1,-19),(-2 -7) finnd the slope to this equation
Answer:
slope is 4
Step-by-step explanation:
Extremely easy question marking Brainliest answer
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.
Use the dropdown to complete the following inequality.
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
Will give brainliest find the slope.
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.
Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7) 0.356b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)log (7)
1.1397The 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.
Answer:
2
Step-by-step explanation:
2
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?
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