I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answers
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
Related Questions
In degrees what is the measure of MFE
Answers
There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.
Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.
x + 6 + 3x - 4 = 90
Add the x's.
4x + 6 - 4 = 90
Combine the 6 and 4.
4x + 2 = 90
Subtract the two on both sides.
4x = 88
Finally, divide by 4.
x = 22
But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)
22 + 6 is the new equation.
22 + 6 = 28
Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because
62 + 28 = 90
I hope this answers your question.
-Toremi
A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions
Answers
Answer:
In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.
Answer:
a combination of individual choice and government protection
Step-by-step explanation:
hey guys, i need help with this ill give you brainlist :)
Answers
Answer: C. 2 3/4 yards.
Hope this helps! :)
Please mark me brainliest.
Answer:
2 3/4
Step-by-step explanation:
Longest - shortest =
4 1/2 - 1 3/4 = 2 3/4
Simplify: 4/15+7/8-11/12
Answers
Answer:
[tex]\frac{9}{40}[/tex]
Step-by-step explanation:
LCD: 120
[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]
[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]
[tex]\frac{27}{120}[/tex]
[tex]\frac{9}{40}[/tex]
Hope this helps!
Answer:
9/40
hope this helps.
Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle
Answers
Answer:
No
Step-by-step explanation:
The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.
help!!!!!!! hurry and help me pls!
Answers
Answer:
(2, 4)
Step-by-step explanation:
A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).
I need help with this
Answers
Step-by-step explanation:
Doesn't the line show where the median is? Then it would be class 1
I NEED THIS RIGHT NOW
Answers
Answer:
B
Step-by-step explanation:
If the numerator is one, the denominator is going to be the same value as a normal positve interger.
Answer:
A
Step-by-step explanation:
If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.
If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.
I hope this helps and please mark this as brainliest!
X+6
Given f(x) =
x2 - 9x +18
which of the following is true?
Answers
This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6
Increasing and decreasing functionGiven the rational function expressed as:
f(x) = x+6/x^2-9x+18
To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x
x + 6 = 0
x = -6
This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6
Learn more on increasing function here: https://brainly.com/question/12940982
What is the area of the parallelogram?
6
сл
4
square units
What’s the square unit ?
Answers
Answer: 24 units²
Step-by-step explanation:
We will use the formula for the area of a parallelogram and solve.
A = bh
A = 6 * 4
A = 24 units²
Isn't this the same formula used for a rectangle? Correct! See attached, the "extra triangle" on the left side can be moved to the right side, and then we solve it like it is a rectangle.
How do you evaluate a geometric series?
Answers
To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .
hope it helps...!!!
Find n if 103n+26n=131n
Answers
Answer:
0
Step-by-step explanation:
•103n+26n = 131n
Combine 103 n and 26 n to get 129n
•129n=131n
Substract 131n from both sides
•129n-131n=0
Combine 129n and -131n to get 2n
•-2n=0
Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.
•n=0
It says "write the fraction in the simplest form." i want the answer, the fraction is '27/36'
Answers
Answer:
3/4
Step-by-step explanation:
Please help
rank the electric potential energy of the charged particles from highest to lowest.
a. 1,2,3,4
b. 2,3,1,4
c. 4,2,3,1
d, 1,3,2,4
Answers
Answer:
1,2,3,4 on edge
Step-by-step explanation:
help help help help help help
Answers
Answer:
greater than 90 but less than 180
Step-by-step explanation: the angle on 2 is a obtuse
hope this helps :)
Answer:
154°
Step-by-step explanation:
Angles formed from opposite rays and sharing a vertex are called "vertical angles." Vertical angles are congruent.
Angle 2 and the one marked 154° are vertical angles, so they have the same measure.
Angle 2 is 154°.
_____
Additional comment
For this question, line WZ and angles 4 to 7 are irrelevant.
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
1046.9
Step-by-step explanation:
The formula for calculating volume of a sphere is the following:
4/3·π·r³
The question asks for you to substitute 3.14 instead of using the exact number π.
∴V=4/3·3.14·6.3^3
V=1046.86344
Now round your answer to the nearest tenth:
1046.86344 -->1046.9
∴V=1046.9
4. the weight of a liquid varies directly as its volume v. of the weight of the liquid
in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a
cubical container 4 cm on a side.
a. 64 g
b. 129
c. 44 g
d. 192 g
Answers
factories
Need fast
Answers
Factor x^8+x^4+1
Rewrite the middle term.
X^8+2x^4.1-x^4+1
Rearrange terms.
x^8+2x^4.1+1 -x^4
Factor first three terms by perfect square rule
(X^4+1)^2-x^4
Rewrite
x^4
as
(X^2)^2
(X^4+1)-(x^2)^2
Since both terms are perfect squares, factor using the difference of squares formula,
a^2-b^2=(a+b)(a-b)
where
a=x^4+1
and
b=x^2
Simplify.
(X^4+1+x^2)(x^4+1-x^2)
Step-by-step explanation:
Have a great day
[tex] {x}^{8} + {x}^{4} + 1[/tex]
to find:factorise
solution:[tex] {x}^{8} + {x}^{4} + 1[/tex]
[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]
[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]
[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]
[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]
[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]
[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]
[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]
50 POINTS! PLEASE HELP ME! ILL GIVE BRAINLIEST!
2. Please complete both Parts A, B, & C below.
a. These triangles are proportional. Identify the corresponding sides for all three sides.
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
3 PARTS! Answer all or get deleted
Answers
Answer:
Step-by-step explanation:
a. These triangles are proportional. Identify the corresponding sides for all three sides.
40 AB------30 YZ
50 AC-------37.5 XY
60 BC---------45 XZ
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
Fraction: 3/4
40 x3/4 = 30
50 x 3/4 = 37.5
60 x 3/4 = 45
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
The triangles are similar
The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".
Answer:
A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.
B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY
3/4 x 40 = 30 3/4 x 60 = 45 3/4 x 50 = 37.5
C. Yes, by SSS
Step-by-step explanation:
a. and b. are self-explanatory, but I will explain c.
When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).
Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).
These two triangles have proportional sides, so SSS applies and they are similar.
+8 opposite value of integers
Answers
Answer:
-8
Step-by-step explanation:
The opposite of a positive integer is a negative integer so it must be -8
Solve the math problem
Answers
Answer:
Explanatory variable (independent variable)
The variable that affects the other variable.Drawn along the horizontal axis.Response variable (dependent variable)
The variable that is being affected. Drawn up the vertical axis.(a) As the class wondered if they could predict the father's height, when they know the son's height
Explanatory variable = son's height
Response variable = father's height
(even though this is contrary to real-life, where the father's height would be used to predict the son's height)
(b) **see first attachment**
(c) The association is positive since the father's height increases as the son's height increases.
(d) **see second attachment**
Outlier = Paul (64.5, 73)
This point is far away from the majority of points on the scatter plot.
If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.
Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64 please select the best answer from the choices provided a b c d
Answers
Answer:
a. $131.93
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edge
pls help if u do ill give brainlist
Answers
Answer:
C. [tex]1\frac{2}{10}[/tex]
Step-by-step explanation:
[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]
[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]
[tex]\frac{120}{100}=1\frac{20}{100}[/tex]
[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]
Explanation:
[tex] \frac{300}{100} + \frac{9}{10} [/tex]
[tex] \frac{30}{10} + \frac{9}{10} [/tex]
[tex] \frac{3 + 9}{10} [/tex]
[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]
Cross out common factors.
[tex] \frac{6}{5} [/tex]
Answer:
[tex]1 \frac{2}{10} [/tex]
Hope this helps.
how do you find the perimeter on a pythagorean theorem word problem?
Answers
p = root under (h square - b square)
1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1
what is the Median
Answers
Answer:
it would be 5.5
Step-by-step explanation:
0.3 1.2 3.7 5.5 5.8 8.1 9.7
Answer:
4.9
Step-by-step explanation:
Median; add up all the numbers then divide by the amount of data points
1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1
7 + 3.7 = 10.7
10.7 + 9.7 = 20.4
20.4 + 5.5 = 25.9
25.9 + 0.3 = 26.2
26.2 + 8.1 = 34.3
34.3 / 7 =4.9
carrie has a string 9 inches long.she will cut each piece of string into 1/4
Answers
If Carrie has a string 9 inches long, what she will cut the piece into is mathematically given as
X=2.25pcs
What is the number of pieces?Generally, the equation for the number of pieces is mathematically given as
X=Total number *ratio
Therefore
X=9*1/4
X=2.25
In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio
Read more about Arithmetic
https://brainly.com/question/22568180
there are 19 birds in a pond, all of which are ducks or geese. if the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?
Answers
Answer:
its 9
Step-by-step explanation:
19-1 divided by 2
so 19-1=18
18/2 equals 9
and thats your answer
се
у
What is the rule for the reflection?
В
4
2
2
Ory=(x, y) — (-y-x)
огу (x, y) — (-у, -х)
Огу (x, y) — (y, x)
(x, y) — (y, x)
о
х
A
--2
|
2
2
4
-2A"
В!
C
Answers
Answer:
Below.
Step-by-step explanation:
Reflection in x-axis: (x, y) ----> (x, -y). (x value stays the same)
Reflection in y-axis: (x, y) ----> (-x, y). ( y value stays the same)
Points scored: 9, 4, 13, 11, 12, 5
What is the median of the points scored?
Answers
Answer:
10
Step-by-step explanation:
The median is arranged in numerical value.
it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.
can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)
Answers
Answer:
Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).
Answer:
I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B
Step-by-step explanation:
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