Answer:
y = [tex]\frac{3}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form
with m = - [tex]\frac{2}{3}[/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{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y - 8 = -2/3(x+5)
The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,
y = 3/2x + c
The line is passing through (-6, -2), then we have
-2 = 3/2(-6) + c
-2 = -9 + c
c = 7
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
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Will give brainliest thanks so much!!!
Answer:
76.6%
Step-by-step explanation:
345/450 * 100%
I hope it helps and sorry if I'm wrong
4.
Which point on the number line
represents 0.3?
It's C promise me it's C.
The table represents a linear function that shows the number of stamps y that a student collects after x months. Complete the table.
Answer:
24
Step-by-step explanation:
a linear function has the form: y = ax + b
According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19
Then our function is of the form: y = 19x + 5
Now ,we replace x by 1 in the function to get the missing value :
Missing value = 19(1) + 5 = 19 + 5 = 24.
Please help me I will give brainliest
Answer:
2,250 yd^3
Step-by-step explanation:
formula for pyramid is lwh/3
If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-
Answer:
i. 31/25
ii. 1/5
Step-by-step explanation:
you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
More about the dilation link is given below.
https://brainly.com/question/2856466
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the other two questions are asking what is the actual length and what is the actual witdh.so yea...
Answer:
the answer could be 60
Step-by-step explanation:
I could be wrong sorry if I am
the question is in the image
Check the picture below.
now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]
Whats the rate of change for (0,3) and (2,-5)
Answer:
[tex]\boxed{\sf{-4}}[/tex]Step-by-step explanation:
Solve a slope using a rate of change.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
⇒ y2=(-5)
⇒ y1=3
⇒ x2=2
⇒ x1=0
Rewrite the problem down.
⇒ (-5)-3/2-0
Solve.
⇒ -8/2
Divide.
⇒ -8/2=-4
Therefore the slope is -4, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
3w(x+y) - 4z(x+y)
Step-by-step explanation:
Hope it helps......
3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B
How to solve thisTo factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.
The given expression is 3wx + 3wy - 4zx - 4zy
First, put the terms into pairs.
The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.
Next, separate and remove the terms that are the same from each group.
The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).
This is a summary:
In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.
Learn more about factoring by grouping from
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Solve for x. Leave your answer in simplest radical form
Answer:
x = 2√7
using Pythagoras theorem:
7² + ?² = 9²?² = 81 - 49? = √32? = 4√2For the bottom part:
x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7Answer:
this is my answer
5.29
Step-by-step explanation:
Hope this helps
Find The Eqn Of Normal To The Curve y= x² - x - 6 at The Point Where It Process x - axis.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
If it passes through x, then let's find x when y = 0
[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]
So, required values of x are 3 and -2
Now, let's differentiate the equation to get slope slope for tangent ~
[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]
[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]
Now, plug in the values of x to find slopes of tangents
[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]
We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'
[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]
Now, write the equations of normals using point slope form :
Normal 1 : passing through (3 , 0), and slope = -1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]
[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]
and
Normal 2 : passing through (-2 , 0), and slope = 1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]
[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]
That's all for Aunty ~ hope it helps !
convert the angle 3pi/5 radians to degrees
well, we know that π is 180°, so then what is 3π/5?
[tex]\begin{array}{ccll} radians°rees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]
Please help i really need help with this one
9.
about 5/7 of the earth's surface is covered with water.
about 88 957 440 km squared is land. in km², about how
much of the earth's surface is covered with water?
Find the sum of
−
3
7
and its opposite
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
Which words describe an angle measuring 92º?
Answer:
obtuse
Step-by-step explanation:
It is obtuse because it is greater than 90 degrees!
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
You can rewrite the trajectory equation as y = -16(x-1)^2 + 19
I believe the answer is -16x+35
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
29 is the correct answer because subtract 90 from 61 we get 29
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
29°
Step-by-step explanation:
We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.
So, we would have to subtract 61 from 90 to find the missing value.
90 - 61 = 29
Therefore, x equals 29°
-kiniwih426
Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?
Answer:
2x
Step-by-step explanation:
X = chris's money
2 times chris's money = 2x
someone help, its calc
Differentiate
[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]
[tex]\\ \rm\rightarrowtail 4x+9[/tex]
Put x=5f'(5):-
4(5)+920+929Option C
instantaneous rate can be found by differentiating the function.
Here,
f(x) = 2(x)² + 9(x)so differentiating:
f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9So when x = 5,
f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answer:
the answer is 10.52547%
Step-by-step explanation:
James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
Find out more on equation at: https://brainly.com/question/2972832
A town population was 6000 people last year. The population this year is expected to increase by 4%. By how many people is the population expected to increase this year?
If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference
Answer:
110 cm
Step-by-step explanation:
Hope it will help you.
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.
What is the arithmetic mean of the
following numbers?
8, 10, 8,5, 4, 7,5,10,8
Help
Answer:
its simple just add all of the numbers and then divide it by the total frequency
Step-by-step explanation:
4+5+5+7+8+8+8+10+10
8
=65
8
=8.125
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
-5x+2<12 please someone help
Answer:
[tex]\boxed{\sf{x > -2}}[/tex]Step-by-step explanation:
Put the term x on one side of the equation.
-5x+2<12Subtract by 2 from both sides.
[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]
Solve.
Subtract the numbers from left to right.
⇒ 12-2=10
⇒ -5x<10
Multiply by -1 from both sides.
⇒ (-5x)(-1)>10(-1)
Solve.
Multiply the numbers from left to right.
-5x*-1=5x
10*-1=-10
→ 5x>-10
Divide by 5 from both sides.
→ 5x/5>-10/5
Solve.
Divide the numbers from left to right.
-10/5=-2
[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]
Therefore, the correct answer is x>-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]x > -2[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5x+2 < 12[/tex]
To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.
[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]
Which means your answer is "x > -2."
Hope this helps.