Answers
Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex] are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]
Thus, the slope is [tex]-\frac{1}{8}[/tex].
Related Questions
In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of [tex] \angle[/tex] XYZ and [tex] \angle[/tex] XZY respectively. Prove that YQ = ZP.
~Thanks in advance ! ♡
Answers
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\, XY=XZ[/tex] Given
[tex]2) \text{ $ m\angle Y= m\angle Z$}[/tex] Isosceles Triangle Theorem
[tex]\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}[/tex] Angle Addition
[tex]\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}[/tex] Given
[tex]5) \text{ $m\angle XYQ=m\angle QYZ$}[/tex] Definition of Bisector
[tex]\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}[/tex] Substitution
[tex]7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}[/tex] Angle Addition
[tex]8)\text{ $ZP$ bisects $\angle XZY$}[/tex] Given
[tex]\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }[/tex] Definition of Bisector
[tex]\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}[/tex] Substitution
[tex]11)\text{ } 2m\angle QYZ=2m\angle PZY[/tex] Substitution
[tex]12)\text{ }m\angle QYZ=m\angle PZY[/tex] Division Property of Equality
[tex]13)\text{ } YZ=YZ[/tex] Reflexive Property
[tex]14)\text{ } \Delta YZP\cong\Delta ZYQ[/tex] Angle-Side-Angle Congruence*
[tex]15)\text{ } YQ=ZP[/tex] CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
this is your answer. look at this once.
Please help whats the answer
Answers
find the nth term of 5 9 14 18 5 23
Answers
first of all it is not in the form of A. P because d=a2-a1=9-5=4,a3-a2=14-9=4,a4-a3=18-14=4,a5-a4=5-18= -13,a6-a5=23-5=18
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 136.
The diagram says x+4 on the top and x on the side
please help me solve this thanks
Answers
Answer: 4x+8<120
x<28
Step-by-step explanation:
As per the statement in the question, the inequality will be 4x + 8 < 136.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the instructions given in the question,
The length (l) of the rectangle = x+4
The width (w) of the rectangle = x
As per the formula of the perimeter, P:
P = 2 (l + w) (i)
Put the values in (i)
P = 2 (x + 4 + x)
P = 2x + 8 + 2x
P = 4x + 8
Then the inequality as per the statement in the question will be,
4x + 8 < 136.
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Simplify the expression.
3.5 -3.2n - 2n + 6
3.5.- 3.2n - 2n + 6 =
Answers
Answer:
-26n/5 + 9.5
Step-by-step explanation:
3.5−3.2n−2n+6
Combine −3.2n and −2n to get −5.2n.
3.5−5.2n+6
Add 3.5 and 6 to get 9.5.
9.5−5.2n
Can someone answer this question i am having an issue to how to figure it out
Answers
Answer:
explanation below
Step-by-step explanation:
f(x) = 3x + 2
f(8) : replace x with 8 f(8) = 3 * 8 + 2 = 26
g(x) = 5x
g(a+2) : replace x with a+2 g(a+2) = 5 (a+2) or 5a + 10
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form. 3, 12, 48,
Answers
Answer:
i think
3 ,
12
12 ,
48
48 ,
192
192 ,
768
768
There are 195 adults and 320 children at a zoo. The zoo makes a total of $6,515 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.
Answers
Answer:
a+c=27
195a+320c=6515
Step-by-step explanation:
adult (a): 195
children (c): 320
total $: $6515
child $: 27
a+c=27 --> c=-a+27
195a+320c=6515
sub the first equation into the 2nd equation to get a=17
sub a=17 into c=-a+27 to get c=10
so, an adult ticket is $17 and a child ticket is $10.
The length of the highway is 700 miles. If 1 inch represents 75 miles, what is the length of the highway on the map?
Answers
Answer:
9.33333 inches.
Step-by-step explanation:
700 / 75?
Mario and Luigi ran laps to train for their race. The ratio of number of laps Mario ran to the number of laps Luigi ran was 4:5. If they ran a total of 27 miles, how many miles did Luigi run
Answers
Answer:
15 miles
Step-by-step explanation:
They both ran a total of 9 laps and 9 laps = 27 miles
This means each lap is 3 miles.
So Luigi ran 15 miles cause he ran 5 lap and each lap is 3 miles
this picture sucks I know but help me please :))
Answers
Answer:
See step by step
Step-by-step explanation:
The student found the cosine of angle A not the sine. Sine is Opposite/Hypotenuse. This student found Adjacent/Hypotenuse. The correct answer is Sin A= 12/13.
A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?
Answers
Given:
A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.
To find:
The the ratio of the height of the model to the height of the actual statue in simplest form.
Solution:
We have,
Height of the model = [tex]3\dfrac{1}{2}[/tex] inches
Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.
Now, the ratio of the height of the model to the height of the actual statue is:
[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]
[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]
We know that 1 ft = 12 in.
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{18}[/tex]
Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].
Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models the amount Thomas needs to save?
Answers
Explanation:This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.
Hope this helps (:
Answer: The answer is a > 50.45 since the amount of A is larger than 50.45
Step-by-step explanation:
PLEASE HELP!!
What is the y-intercept?
Answers
Answer:
y- intercept = 30
Step-by-step explanation:
The y- intercept is the value on the y- axis (vertical) where the graph crosses
Each square on the vertical has a value of 10
The graph crosses the vertical axis 2 squares below 50.
Then y- intercept = 30
ayúdaaaaaa si no me van a dar con la chancla
Answers
Answer:
1. 54 (muy bien!!!)
2. 270
3.440
HELP PLS IM not smart it’s due tonight ♀️
Answers
Answer:
Option 3
Step-by-step explanation:
SAS Triangle Congruence Theorem
Answer:
option- 3 which is sas theorum
ansswer plz i been stuck on this for 10 min help ??
Answers
9514 1404 393
Answer:
33 ft²
Step-by-step explanation:
Each triangle's area is given by the formula ...
A = (1/2)bh
A = (1/2)(3 ft)(4 ft) = 6 ft²
The square base area is given by ...
A = s²
A = (3 ft)² = 9 ft²
__
The total area of the pyramid is the area of the base plus the area of four triangular faces.
Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²
Total Area = 33 ft²
Please helpppppppppppppppppppppppppp
Answers
Answer:
the answer is D or A
Step-by-step explanation:
step-by-step explanation
I hope this helps
13 = -4x +9 solve equation.
Answers
Answer:
-1x or -x
Step-by-step explanation:
4 divided by -4
Henry left his house at time zero and drove for 2 minutes to the store at a speed of 6 blocks per minute. Then he stopped and went into the store for 5 minutes. From there, he drove in the same direction at a speed of 1 block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutes. Then he drove home at a speed of 7 blocks every 5 minutes. Make a graph of showing the number of blocks away from home that Henry is
x
x minutes after he leaves his house, until he gets back home.
Answers
Answer:
Step-by-step explanation:
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Estimate the total weight of two million pounds worth of two pence coins in kilograms. A two pence coin weighs 7.1g.
Answers
Answer: 710,000 kg
Step-by-step explanation:
There are 100 pence in one pound.
The number of two pence coins in 1 pound is therefore:
= 100 / 2
= 50 coins
In 2 million pounds therefore, there will be:
= 50 * 2,000,000
= 100,000,000 two pence coins
If one coin weighs 7.1g, weight is:
= 100,000,000 * 7.1
= 710,000,000 g
A kg is 1,000 grams so the weight in kg is:
= 710,000,000/1,000
= 710,000 kg
What is the domain. How do I find it?
Answers
Answer:
All real numbers
Step-by-step explanation:
Here, we want to get the domain
The domain refers to the possible x values of the function
As we can see, the plot extends thoroughout the entirety of the graph
This extends from positive infinity to negative infinity
This means that the domain is all real
numbers
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
A. 108 pi cm^3
B. 36 pi cm^3
C. 18 pi cm^3
D. 54 pi cm^3
Answers
Answer:
D
Step-by-step explanation:
Step 1: (3)^2*6pi
Step2: 54 pi cm^3 Ans
Answer:
169.71
Step-by-step explanation:
FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e. V= πr^2 h then evaluate the values as V=22/7(3)^2(6) =169.71cm^3
can someone please help me with this !
Answers
what is the slope of a line that has a y-intercept but no x-intercept
Answers
Answer:
A line that crosses the y-axis but not the x must be horizontal. Therefore, it has no slope.
Give me a correct answer and you’ll get brainliest
Answers
1c is equal
1d not equal
1b is equal
1a is not equal
Can u give me the best answer u can?
Answers
Answer:
19
Step-by-step explanation:
46x0.84=38.64
That means you have to score at least a 39 to pass.
19 students have 39 or better.
Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school
lunches. At this rate, how much did Dante spend on school lunches after 5 days?
Answers
Answer:
12.5
Step-by-step explanation:
37.50÷15=2.5
2.5×5=12.5
Answer: $12.50
Step-by-step explanation:
You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.
tell whether each equation has one solution no solution or infinitely may solutions 2x+5=5x-1
Answers
Answer:
2x+5=5x-1 =2 so it sould be one soulution
Step-by-step explanation:
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
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