Answer:
[tex]\displaystyle y + 9 = \frac{16}{13} ( x + 6 )[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-6,-9) and (7,7), thus the slope is:
[tex]\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}[/tex]
Now we apply the point-slope formula using the point (-6,-9):
[tex]\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}[/tex]
This equation is expressed in the required format
The equation of the line passing through the given points is required.
The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
The points are [tex](-6,-9)[/tex] and [tex](7,7)[/tex]
The equation is
[tex]y-y_1=\dfrac{\Delta y}{\Delta x}(x-x_1)\\\Rightarrow y+9=\dfrac{7+9}{7+6}(x+6)\\\Rightarrow y+9=\dfrac{16}{13}x+\dfrac{96}{13}\\\Rightarrow y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]
Learn more:
https://brainly.com/question/1581995?referrer=searchResults
Please help me, 30 points and Brainlest.
The red figure is congruent to the blue figure. Describe a sequence of rigid motions between the figures.
Answer:
Reflection
Step-by-step explanation:
A cube has a side length of s meters. The volume of the cube is
represented by the expression s^3. The volume of the cube is a function
of the side length. Does this situation represent a linear or nonlinear
function? Explain.
Answer:
non linear
Step-by-step explanation:
This situation can be represented as y=x^3 where y is the volume of the cube x is the length of its side. We find that the slope for this curve(change in y/change in x) is not constant for all points on the curve. Thus it is a non linear function.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP\
Name the line of reflection.
Answer:
y=0
Step-by-step explanation:
On a test that has a normal distribution, a score of 60 falls two standard deviations above the mean, and a score of 42 falls one standard deviation below the mean. Determine the mean of this test
Answer:
48
Step-by-step explanation:
Given that:
[tex]A \ score \ of \ 60 \ falls \ two \ standard \ deviations \ above \ the \ mean \\ \\ A \ score \ of \ 42 \ falls \ one \ standard \ deviation \ below \ the \ m ean[/tex]
The interval for score = 60 - 42 = 18
If we divide it by the 3 standard deviations; the interval result into
= 18/3
= 6
So, the standard deviation is 6, and the mean = 42 + 6
= 48
Answer:
51
Step-by-step explanation:
Question Solve for x 3x = x + 8
Answer:
x=4
Step-by-step explanation:
here's our equation: 3x=x+8
Our goal: to isolate x onto one side with nothing else on that side.
x is on both sides; we can subtract x from both sides to make the variables and numbers be on different sides
2x=8
Now we can divide by 2
x=4
Hope this helps! :)
3x = x + 8
Step 1: Subtract x from both sides.
3x−x=x+8−x
2x=8
Step 2: Divide both sides by 2.
2x /2 = 8 /2
x = 4
Answer:
x = 4
~Help, please-~
.
.
.
.
.
.
.
.
.
.
Also out of all these boys which one do you think is the [tex]cutest[/tex]?
1. Katsuki Bakugou
2. Eijiro Kirishima
3. Izuku Midoriya
4. Denki Kaminari
5. Tenya Ida
6. Yuga Aoyama
7. Mashirao Ojiro
8. Koji Koda
9. Rikido Sato
10. Mezo Shoji
11. Hanta Sero
12. Fumikage Tokoyami
13. Shoto Todoroki
14. Minoru Mineta
15. Tamaki Amajiki
Answer:
never heard of them
and the answer is choice B.
Step-by-step explanation:
alternate exterior angles have the same measure
Urgent please help, will give brainliest
in right angle traingle two angle are equal
so.x=y
in triangle
x+y+90=180(sum of interior angle of triangle)
2x=180-90
x=90/3=45°
You have 5 separate piles of paper with equal amount of paper in each pile. The 1st pile is numbered 1. The 2nd pile is numbered 2. 3rd pile is #3. 4th pile is #4. 5th pile is #5.
If you were to mix up all of this paper, what is the probability that you would pick up an odd numbered piece of paper?
Answer: 3/5, because there are 2 even numbered papers and 3 odd numbered papers
Answer:
60%
Step-by-step explanation:
You first divide the amount you have (5) from 100. You end up with 20 and then you multiply 20 by the number of odd numbers (3) and you end up with 60%
To determine the height of the volcano Mount Saint Helens, a surveyor measured the angle of elevation to the top of the volcano to be 34.8°. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40.4° Determine the height of Mount Saint Helens to the nearest foot.
Answer:
The height is 3791 ft.
Step-by-step explanation:
You need to make a drawing. Start with a vertical segment, 2 inches long, on the left side of the page. Label the top point A and the bottom point B. At the bottom endpoint, draw a longer horizontal segment, 4 inches long, to the right. Label the bottom right endpoint C. Connect A and C with a segment. Angle C is the original angle of elevation. On the bottom horizontal side, approximately 1 inch to the left of C, draw point D. Connect D and A with a segment. DA = 1000 ft. m<C = 34.8°. m<ABD = 40.4°. We are looking for AB, the height of the volcano.
We can work on triangle ADC.
m<C = 34.8°
Angles ADB and ADC are a linear pair, so m<ADC = 180° - 40.4° = 139.6°
m<DAC + m<ADC + m<C = 180°
m<DAC + 139.6° + 34.8° = 180°
m<DAC = 5.6°
Using the law of sines, we can find AC.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex]\dfrac{\sin 5.6^\circ}{1000} = \dfrac{\sin 139.6^\circ}{AC}[/tex]
[tex]AC = \dfrac{1000\sin 139.6^\circ}{\sin 5.6^\circ}[/tex]
[tex] AC = 6642~ft [/tex]
Now we use triangle ABC. AC = hypotenuse. AB = opposite leg. <C is known angle.
[tex] \sin C = \dfrac{opp}{hyp} [/tex]
[tex]\sin 34.8^\circ = \dfrac{AB}{6642~ft}[/tex]
[tex]AB = 6642~ft \times \sin 34.8^\circ[/tex]
[tex] AB = 3791~ft [/tex]
Answer: The height is 3791 ft.
Where is the point -3,4 located on a coordinate plane?
Answer:
It is located 3 to the right and 4 up or in the second quadrant
Step-by-step explanation:
Answer:
See the image that has been attached.
Step-by-step explanation:
On a coordinate plane, the x value is always first in a coordinate pair. The y value is second.
This means that -3 is the x value. X values go left and right, so -3 is three left from 0,0.
The same goes for the y value. Since the y value is 4, the y value is 4 is 4 up from 0,0.
Henry is flying a kite. The kite makes an angle of 43 with the ground. If henry is standing 100 feet from a point on the ground directly below the kite, find the length of the kite string
Answer:
x = 136.73 feet
Step-by-step explanation:
Given that,
Henry is flying a kite. The kite makes an angle of 43 with the ground. If henry is standing 100 feet from a point on the ground directly below the kite.
We need to find the length of the kite string. It can be calculated by using trigonometry.
The length of the string will be hypotenuse, 100 feet is the base.
The relation between the hypotenuse, base and angle with the ground is given by :
[tex]\cos\theta=\dfrac{\text{base}}{\text{Hypotenuse}}\\\\\cos(43)=\dfrac{100}{x}\\\\x=\dfrac{100}{\cos(43)}\\\\x=136.73\ \text{feet}[/tex]
So, the length of the kite string is 136.73 feet.
Solve for x and y. 30-60-90 triangles
Answer:
[tex]x = 3[/tex][tex]y=3\sqrt{3}[/tex]Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
The adjacent to the angle ∠60° is x.The opposite to the angle ∠60° is y.The hypotenuse = 6
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = x and hypotenuse = 6
cos 60° = x / 6
6 × cos 60° = x
x = 3
Thus, the value of x is:
x = 3And using the trigonometric ratio
sin 60° = opposite / hypotenuse
substituting opposite = y and hypotenuse = 6
[tex]sin\:60^{\circ }\:=\:\frac{y}{6}\:[/tex]
[tex]y=6\:\times\:sin\:60^{\circ }[/tex]
[tex]=6\times \frac{\sqrt{3}}{2}[/tex] ∵ [tex]\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]=3\sqrt{3}[/tex]
Therefore, the value of y is:
[tex]y=3\sqrt{3}[/tex]Summary:
[tex]x = 3[/tex][tex]y=3\sqrt{3}[/tex](10+13)(2+7y) which expression is equivalent to the expression above
Answer:
23(2+7y-())=0
Step-by-step explanation:
(10+13)(2+7y=)
We move all terms to the left:
(10+13)(2+7y-())=0
We add all the numbers together, and all the variables
23(2+7y-())=0
Answer: something +9
Step-by-step explanation:
1 x 0.0016 -
helppppppp!have a good day:)
Answer:
= 0.0016
Step-by-step explanation:
anything times one is the same number
A person riding in an elevator travels 180 feet in 30 seconds. What equation represents this relationship? How many feet will this person travel in 10 seconds?
Answer:
The answer is C
henry works at a retail store and is eligible for 18 days leave for a year. How many days of leave is he entitled to for 9 months of work?
help me
pleeeeease and please do it fast cause i need it quickly
Answer:
i think its c
Step-by-step explanation:
Hope this helps!!
⚠️15 points⚠️
The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving.
Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?
Answer:
the rate of change is 7.
Step-by-step explanation:
The rate of change of the balance of the student's savings account in dollars and cents per week is 7.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Remember that, we have to divide by the change in an independent variable so that we get an idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
We have given the table of saving accounts, then the rate will be;
[tex]Rate = \dfrac{39 - 32}{1 - 0}\\Rate = \dfrac{7}{1 }[/tex]
Therefore, the rate of change of the balance of the student's savings accounts in dollars and cents per week is 7.
Learn more about the rate of change here:
https://brainly.com/question/19167959
#SPJ6
A customer wants to purchase a sweater from a store.
The original price of the sweater is $40.
The sweater is on sale for 20% off the original price.
A sales tax of 5% is applied after the discount.
What was the final price of the sweater?
A
$34.00
B
$30.00
C
$30.40
D
$33.60
will give brainliest! hurry please!! im timed!
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
C
40*.20=8
40-8=32
32*.05=1.60
32-1.60=30.4
On a map, 1 inch represents 60 miles. The towns of Howell and edgerton 2-3-4 inches apart on the map.
Answer:
okay that's not a question
Step-by-step explanation:
so no
Which is the equation of the parabola
Answer:
its the first one
Step-by-step explanation:
Which model represents 2.36 ÷ 4? A. Three groups of three tenths and four hundredths B. Three groups of five tenths and nine hundredths C. Four groups of three tenths and six hundredths D. Five groups of five tenths and nine hundredths
Answer:
Five groups of five tenths and nine hundredths
Step-by-step explanation:
Mathematically;
2.36 divided by 4 = 0.59
So we want to select from the options, the best representation of this
That will be
0.5 + 0.09
so our answer is 5 groups of five tents and nine hundredths
The model which represents 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths
We must perform the division 2.36 ÷ 4 first so that we have;
2.36 ÷ 4 = 0.59The result, 0.59 can then be written in words as; Five tenths and 9 Hundredths.
Ultimately, the model. which represents the expression 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths.
Read more on place value:
https://brainly.com/question/18838031
The number of blocks has 9 in the ones place. The numberin the hundreds place i is one more that the numberin the tens place. Those two numbers equal 11. How many block are there?
Answer:
There are 659 blocks
Step-by-step explanation:
The number of blocks has 9 in the ones place.
The number in the hundreds place is one more that the number in the tens place.
Let the number in the tens place is x.
Number in the hundreds place = 1+x
These two numbers equal 11.
ATQ,
x+1+x = 11
2x + 1 = 11
2x = 10
x = 5
No in the tens place = 5
No. in the hundreds place = 1+5 = 6
Hebnce, the number is 659.
Eight homerooms in a middle school had the following distribution of students.
29, 32, 33, 28, 30, 30, 29, 33
What is the MAD of students?
A. 1.25
B. 1.625
C. 2.25
D. 2.8
Answer:
C
Step-by-step explanation:
Stan made 14 of 20 free throws in basketball practice. Predict the number of free throws he would make if he attempted 100 free throws
i know the answer is 70 but HOW DID YALL GET THAT
Answer:
okay, so you put 14/20 as a fraction, and find out the percent. that is 70%. then you find 70% of 100, which is 70.
The movie theater can hold a maximum of 7,000 people. This weekend, they are expecting 4,600 children and 765 adults. How many seats will be left?
Answer:
1635 seats left
Step-by-step explanation:
First, add the number of children and adults as they are both considered people.
4600 + 765 = 5365
Then we do subtraction to figure out how many seats are left
7000 - 5365 = 1635. There will be 1635 seats left
Let me know if you have any questions
Find the measure of the exterior angle
Answer:
138
Step-by-step explanation:
5x+2+6x+90=180
11x+92=180
11x=88
x=8
5(8)+2. = 42
180-42= 138
Find the answer in simplest form.
33/4 divided by 17/6=
Answer:
99/34 i believe
Step-by-step explanation:
Select the correct answer What is this expression in simplified form? (V22) (5V2)
Answer:
A
Step-by-step explanation:
[tex]\sqrt{22}[/tex] · 5[tex]\sqrt{2}[/tex] = 5 [tex]\sqrt{44}[/tex] = 5 [tex]\sqrt{4}[/tex]·[tex]\sqrt{11}[/tex] = 10[tex]\sqrt{11}[/tex]
