Step-by-step explanation:
This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:
y-y₁ = m(x-x₁)
So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:
y = m(x-x₁) + y₁
We can now simplify the equation to:
y = m·x - m·x₁ + y₁
Now we just input the given information.
m = 5 (slope)
x = 21
x₁ = 5
y₁ = 6
Now we have all the information we need and we can solve.
y = 5·21 - 5·5 + 6
y = 105 - 25 + 6
y = 86
So y, when x = 21, is equal to 86.
PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12
Answer:
-1/2x<-12
Multiply through by 2
-x < -24
Multiply through by -1
x > 24
Hope this helps.
the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.
Answer:
l = ( 2√3 + 1 ) m
Step-by-step explanation:
A = l²√3/4
3√3 = l²√3/4
12√3 = l²√3
l² = √12
l² = √2²·3
l = 2√3 m
when the length of each side increases by 1 meter
l = ( 2√3 + 1 ) m
Answer:
5.5 m
Step-by-step explanation:
note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meterThe area of equilateral triangle formula:
A=√3/4a²increased area:
√3/4(a+1)²= A + 3√3
√3/4a²+3√3= √3/4(a+1)² ========= (× 4/√3 each side)a²+12=a²+2a+12a=12-1a=11/2 ma=5.5 mWhat proportion results in the equation 9 m = 10 n?
Answer:
it might come from 9/n = 10/m
Answer:
9/m=10/n
Step-by-step explanation:
Help idk how to do this
Answer:
y = 62°
Step-by-step explanation:
z represents the mid segment of the triangle.
Since, midsegment is parallel to the third side of the triangle.
[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera
8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to
monitor every customer who enters and exits the store. At want angle of depression should
Harry set the camera to capture the faces of all customers? Use a diagram and
mathematical calculations to help you explain your answer.
Answer: The angle of depression would be 26.57°
Step-by-step explanation: Please refer to the attached picture for further details.
What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.
Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;
Tan ∅ = Opposite/Adjacent
Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)
Tan ∅ = 8/16
Tan ∅ = 0.5
By use of a calculator,
∅ = 26.5650
∅ ≈ 26.57
Therefore the angle of depression of the surveillance camera should be 26.57°
What is the measure of angle Q to the nearest whole degree?
43°
49°
53°
58°
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
[tex]cos^{-1}Q = 0.604[/tex]
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.
How to calculate the measure of angle Q?Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
Read more on cosine function here: brainly.com/question/4599903
#SPJ2
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces.The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
13 is 23 less than 15 times a number
Answer:
13 = 15(x) - 23
x = 12/5 or 2 2/5
Is 8.26 an irrational number
Answer:
no it is not
Step-by-step explanation:
Today you will need to look at the following problem and explain what Susan did incorrectly. You can explain what she did incorrectly and how to do it correctly
Answer:
see below
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + (y-k) ^2 = r^2
( x-3)^2 + (y+4) ^2 = 36
Rewriting this equation
( x - 3)^2 + ( y - -4)^2 = 6^2
The center is at (3,-4) and the radius is at 6
Susan did not use the formula correctly.
It is x-h and y-k so she needed to rewrite to get the equation in the proper form
Also the radius is r^2 not r/2
Find the Shaded area 12 cm 18cm 8cm 8cm
Answer:
3,456
Step-by-step explanation:
12x18x(8x2)= 3,456
What is the average rate of change from x = −1 to x = −2?
Answer:
Step-by-step explanation:
this graph is probably : 2(x+1)^(2)+5:
it was transformed :
vertically stretched by a factor of 2
left 1 unit
up 5 units
from the graph, we can see that the points are (-1, 5) and (-2, 7)
m=(y2-y1)/(x2-x1)
m=(7-5)/(-2-(-1))
m=2/-1
m=-2
Wright (3+4i)+(8+2i) as a complex number in standard form
Answer:
11 +6i
Step-by-step explanation:
(3+4i)+(8+2i)
Add the real portions
3+8 = 11
Add the imaginary portions
4i+2i = 6i
The complex number in a+bi form is
11 +6i
Answer:
[tex] = 11 + 6i[/tex]
Step-by-step explanation:
[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the HIGHEST COMMON FACTOR of 36 81
Answer: 9
Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.
Answer:
its 9
Step-by-step explanation:The prime factorization of 81 is: 3 x 3 x 3 x 3.
. The prime factors and multiplicities 36 and 81 have in common are: 3 x 3.
so 9
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
[tex]-3\frac{2}{3}[/tex]
Step-by-step explanation:
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
Solve x2 − 3x = −8.
a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2
Answer:
x equals quantity of 3 plus or minus I square root of 23 all over 2
Step-by-step explanation:
A car drives at a speed of 90 km/h for 2 hours and 20 minutes.
How far does the car drive?
Answer:
210 KM
Step-by-step explanation:
first 20minutes is 1/3 of an hour
20/60=1/3 hour
how far does the car drive =time *speed
=2 1/3 hour *90= 210 km
i wiil be happy if you mark me as brainliest
A rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
PLEASE HELP ME I NEED HELP
Answer:
Step-by-step explanation:
V = 4/3(π)(3)^3
V= 4/3(27)π
V= 36π
V = 113.1 cm^3
help please thank you
[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
PLEASE HELP ME OUT!
Find the value of x (3x-9) (x + 7)
Answer:
x=-3 and x=-7
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
i just took the test, its 23
in your own words what is a polygon
Step-by-step explanation:
A polygon is a shape with at least three straight lines and angles
Shannon can milk cows at a rate of Two and one-half gallons per minute. Steven milks cows Two-thirds as fast as Shannon. How fast does Steven milk cows?
A. One and one-third gallons per minute
B. One and two-thirds gallons per minute
C. Two and two-thirds gallons per minute
D. Three and three-fourths gallons per minute
Answer:
B
Step-by-step explanation:
1 and 2 thirds gallons per minute
Simplify the following fraction: 400/4400
Answer: 1/11 is the simplified form...
Hope this helps, stay safe :D
Answer:
1/11
Step-by-step explanation:
divide top and bottom by 100 = 4/44
divide top and bottom by 4 = 1/11
The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.
Answer:
Yes it is
Step-by-step explanation:
If you us a formula you can predict data points that are not on a graph
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners
( if your doing this can you please do it step by step )
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting
Answer:
A = 2 1/2 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 3 * 5/6
A = 5/2 ft^2
A = 2 1/2 ft^2
Answer:
A=2.5 ft^2
Step-by-step explanation:
A=3
A=3(5/6)
A=2.5 ft^2