Answer:
y = [tex]\frac{4}{3}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line
solve for x
possibly answer
12
-7
5
-6
Answer:
12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees
Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.
Answer:
See below
Step-by-step explanation:
The first step is to find the length of AB. By the Pythagorean Theorem:
[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]
Now, you can proceed:
[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour, the bucket is 3/5 of the way full. What is the rate at which the water is leaking per hour?
Answer:
Rate = 3/5 bucket / 1/2 hour
= 6/5 or 1 1/5 buckets per hour
Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
B and E
Step-by-step explanation:
edge 2021 (??)
What steps would you take to determine if these figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by One-half.
Translate the intermediate image 4 units down. - CORRECT
Perform two different dilations.
Reflect the intermediate image. - CORRECT
yuhh get in too ittt
Answer:
A
Step-by-step explanation:
16x-16=4y
4(4x-4)=4y
y=4x-4
Therefore, the correct answer is choice A. Hope this helps!
Answer:
16x-16=4(4x-4)
Step-by-step explanation:
16x-16=4(4x-4)
4(4x)=16x
4(-4)=-16
is (1,8) a solution of the equation 3x + 5 = y ?
A True
B False
Answer:
A.
Step-by-step explanation:
Plug it in:
3 + 5 = 8
TRUE
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
Which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line
Answer:
a. ray
e. segment
f. line
Step-by-step explanation:
Info on dimensions:
A Point has no dimensions A Line is one-dimensional A Plane is two dimensionalA Solid is three-dimensionalLet's see number of dimensions of figures:
a. ray
One dimensionb. angle
Two dimensionsc. square
Two dimensionsd. point
Zero dimensione. segment
One dimensionf. line
One dimensionWhat is x value?? :D
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing
4+(x-3) = 2x-5
If you do this equation you will get 6 as your answer.
Hope this helps :)
The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.
Answer:
The value of AB is 9/2 or 4.5
Answer:
4.5 cm
Step-by-step explanation:
The total area is the sum of areas of two rectangles:
x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2 discarded as negative2x-9=02x=9x=4.5AB=4.5 cmJonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??
Answer:
Step-by-step explanation:
for 140
miles he had slept
A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism?
Description:
Formula: length * width * height (L*W*H)
volume of larger prism
vp=45/4 ft^3 =11.25
vs=1/2*1/2*1/2
vs=0.125 ft^3
n=vp/vs
n= 11.25/.125
n=90
Answer: 90 smaller cubes will completely fill in the prism
Please mark brainliest
Hope this helps.
Simplify: (-4/15) - (9/10) *
Answer:
Given
Step-by-step explanation:
(-4/15)-(9/10)
LCM = 150
(-4/15)= (-40/150)
(9/10)= (135/150)
So the equation becomes
= (-40/150)-(135/150)
= (-40-135)/150
= (-40+-135)/150
= -175/150
= -7/6 ( divide both by 25 to simplify)
The simplified value of (-4/15) - (9/10) is -7/6
How to simplify step by step using BODMAS rule?
The given question is (-4/15) - (9/10)
⇒first take L.C.M 15 and 10 which is 30.
⇒divide 30 by both the denominator 10 and 15 which is 3 and 2 respectively.
⇒multiply 3*-9 and 2*-4
⇒now solve using sign.
(-4/15) - (9/10)
⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]
⇒[tex]\frac{-35}{30}[/tex]
⇒ [tex]\frac{-7}{6}[/tex]
Learn more about Simplification here: https://brainly.com/question/723406
#SPJ2
What is the slope of the line shown below?
Answer:
4
Step-by-step explanation:
(9 - 1) / (3 - 1) = 8/2 = 4
Answer:
4
Step-by-step explanation:
To find the slope using two points
m= (y2-y1)/(x2-x1)
= (9-1)/(3-1)
= 8/2
= 4
Another car is 4 years old And has been valued at 2600
Answer:
Step-by-step explanation:where is the rest of the question
which expression is equivalent to 4(5x+3y)
Answer:
20x + 12y
Step-by-step explanation:
4 times 5x = 20x
4 times 3y= 12y
Step-by-step explanation:
I am going to assume that the equivalent expression is fully simplified.
To simplify this expression, we use the distributive method.
Using this method we get:
4·(5x+3y) = 4·5x+4·3y
Now that we have the terms seperated, simplify each of them:
4·5x + 4·3y = 20x + 12y
Our expression is now fully simplified so our answer is:
20x + 12y
If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)
Answer: (3,-2)
Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.
(-x,-y) ⇒ (x,-y)
Our current coordinate is (-3,-2)...let's convert it now...
(3,-2)
I hope this helps!
Answer:
(3, -2).
Step-by-step explanation:
When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).
So B (-3, -2) --> (3, -2).
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answer:
3π/4
Step-by-step explanation:
For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).
Answer & Step-by-step explanation:
When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.
f(x) = 3x + 1
g(x) = x² - 6
(3x + 1)(x² - 6)
Multiply each term from the first parentheses to the second parentheses.
3x³ - 18x + x² - 6
Combine like terms and make sure the expression is in standard form.
3x³ + x² - 18x - 6
So, your answer will be letter choice B.
Please help, URGENTTTT
A circle is the collection of points in a plane that are the same distance from a given point in the plane. A. True B. False
Find the solution of ×\2-1/5=×\3+1/4 please help me with this
Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
Two fewer than a number doubled is the same as the number decreased by 38. Find the number. If n is "the number," which equation could be used to solve for the number? 2 n - 2 = n - 38 2( n - 2) = n + 38 2( n - 2) = n - 38
Answer:
Step-by-step explanation:
2(n-2) = n-38
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm
Answer:
Correct option: First one -> 16 mm
Step-by-step explanation:
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have:
[tex]Perimeter = 3*side[/tex]
[tex]3*side = 96[/tex]
[tex]side = 32 mm[/tex]
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:
[tex]height = \frac{side * \sqrt{3}}{2}[/tex]
[tex]height = 16\sqrt{3}[/tex]
Using the Pythagoras' theorem in the triangle ACM, we have:
[tex]side^2 = MC^2 + height^2[/tex]
[tex]1024 = MC^2 + 768[/tex]
[tex]MC^2 = 256[/tex]
[tex]MC = 16\ mm[/tex]
Correct option: First one
Answer:
(A) 16mm
Step-by-step explanation:
What is the value of y?
Factor the polynomial expression x4 + 18x2 + 81
Answer: [tex](x^2+9)^2[/tex]
Step-by-step explanation:
Rewrite it in the form [tex]a^2+2ab+b^2[/tex] , where [tex]a=x^2 and b=9.[/tex]
[tex](x^2)^2+2(x^2)(9)+9^2[/tex]
Use Square of Sum: [tex](a+b)^2= a^2+2ab+b^2[/tex]
[tex](x^2+9)^2[/tex]
PLSSSSSS HELP!!!!!!!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true?
a. The volume of one box is 3 times the volume of the other.
b. The volume of one box is 6 times the volume of the other.
c. The volume of one box is 9 times the volume of the other.
d. The volume of one box is 27 times the volume of the other.
Answer:
B
Step-by-step explanation:
(There is 2 sides.)
What is 2x^2-13x+15?
Answer:
(2x−3)(x−5)
Step-by-step explanation:
Factor 2x^2−13x+15
2x^2−13x+15
=(2x−3)(x−5)
hope this helps
-lvr
Answer:
Factored: (2x-3)(x-5)
Solving with quadratic formula: X= 5, 3/2
Step-by-step explanation:
what is the area of the circle?
Answer:
A = 90.25π
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex]
r = 9.5
A = 90.25π
Answer:
[tex]\pi \times 9.5 {?}^{2} [/tex]
