Answers
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
y=(2/7)x+(7/3)
Step-by-step explanation:
y=-7/2(x)+9
y=mx+c
Therefore, slope of line y is -7/2
Because line y perpendicular to the required line
Therefore, slope of the required line is 2/7
x+y=10 ........(1)
3x-4y = -12 ......(2)
(1) x 4:
4x+4y =40 ......(3)
(3) + (2)
4x+4y+3x-4y=28
x=4
by substituting x=4 into (1), we have
y=10-4=6
Therefore, the point that the line intersects is (4, 6)
let y=(2/7)x+c be the required equation
(4, 6):
6=(2/7)4+c
c=21/4
therefore, the required equation is y=(2/7)x+(7/3).
Related Questions
HELP PLEASEE
I’m stuck
Answers
Answer:
:-):-)
Step-by-step explanation:
1) p<1000
2)p>500
3)By combining the above two, we get: 500<p<1000
Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.
4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.
So that means, the answer is p < 1000
For number 2, it’s asking for the same thing. Lin says that it needs to be more than 500.
So that means, the answer is p > 500
For number 3, it’s just asking you if the number “487” is reasonable. You find that by plugging in the number 487 into “p”.
Is 487 < 1000 correct? Yes!
Is 487 > 500 correct? NO!
So that means for number three, you should put, “Lin and Andre would not agree. This is because the number 487 fits with Andre’s statement, but it does not fit with Lin’s. 487 is less than 1000, but it is not greater than 500.”
For number 4, you do the same thing. Plug in 742 into “p”.
Is 742 < 1000? Yes!
Is 742 > 1000? Yes!
So that means for number 4, you should put, “Lin and Andre would agree. This is because the number 742 fits with Andre’s and Lin’s statement. 742 is less than 1000, and it is greater than 500.”
need help with this one??
Answers
Answer:
the correct one would be quadrant 3
Step-by-step explanation:
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answers
Answer:
circle area = 50.24 units²
Step-by-step explanation:
circle area = πr² = 3.14(4²) = 3.14(16) = 50.24 units²
if u know what to do pls help
Answers
Answer:
6.2 miles
Step-by-step explanation:
10 kilometers=.62 miles
.62*10= 6.2 miles
find the LCM lowest common multiple and the HCF highest common factor of 40 and 56
Answers
Answer:
280 and 8
Step-by-step explanation:
the LCM is the lowest common multiple
the lowest multiple that can Divide 40 and 56 without a remainder = 280
the Hcf Is the highest common factor of 40 and 56
the highest number that can Divide both =8
The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!
Answers
Answer:
Sum = 4 + 5 = 9
Step-by-step explanation:
Equation
2*(x - 2)(x-2) = (x - 3)(x + 4)
Solution
2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12
2x^2 - 8x + 8 = x^2 +x - 12 Subtract the right side from the left
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
The possible values for x are
x - 4 = 0
x = 4
x - 5 = 0
x = 5
Check
(4 - 2)^2 = (4) = 4
(x - 3)(x + 4) = (4 - 3)(8) = 8
This checks
(5 - 2)^2 = 3^2 = 9
(5 - 3)(5 + 4) = 2 * 9 = 18
HELP!! :'(
An exponential function does not have a constant rate of change, but it has ____.
A. a slope
B. a parabolic shape
C. None of these
D. constant ratios
Answers
.2 How many millilitres of chutney are needed?
Answers
Answer:
Step-by-step explanation:
In this scenario, You've asked about the Chutney (Sauce/Raita).
Ok, So let's suppose you are making a "Chutney"
The first you need is the right amount of ingredients.Their quantity and they must be fresh "To make every effort of yours worth it!"Add it into a bowl or a dish that you have at the time (Or a big one to be on the safe side)At the end mix the ingredients well, So that they don't spoil taste of the one who is taking it.The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.
It could be a few hundred (gms. or some Kg's).
That totally depends up on your choice
3333 divided by 77. i really need help
Answers
Answer:
43.2857142857
plz mark me as brainliest
Answer:
476.142857143
Step-by-step explanation:
1/4 of my shirts are red, the rest are blue. Show the ratio of red to blue shirts
Answers
Answer:
1:3 red to blue
Step-by-step explanation:
you have x shirts. Let's call the number of red shirts r and the number of blue shirts b.
r = x * 1/4
b = x - r = x - (x * 1/4) = x * 3/4
r:b = (x * 1/4):(x * 3/4) = (1/4):(3/4) = 1:3
Choose the correct classifacation of 4x^4-4x^3+10x^6
Answers
Answer:what’s classification
Step-by-step explanation:
I need help with this , 7x-3y+4x-5y+8x-6y
Answers
Answer:
19x−14y
Steps:
7x-3y+4x-5y+8x-6y
=19x-3y-5y-6y
= 19x−14y
plz mark as brainliest
Answer:
19x-14y
Step-by-step explanation:
rearrange
7x+4x+8x-3y-5y-6y
solve the coefficient and add the variables
I need help pls is due today
Answers
Answer:
a) 1/2, 0.5, 50% b)3/4, 0.75, 75% c) 1/12, 0.08333, 8.333% d) 5/12, 41.6667%, 0.416
Step-by-step explanation:
Answer:
a] 1/2 b] 5/6 c] 1/6 d] 5/4
Step-by-step explanation:
no of even no present/total numbers and so on
try it later
(ill give 25) let r be the region enclosed by the y-axis, the line y = 2, the line y = 3, and the curve =. a solid is generated by rotating R about the y-axis, what is the volume of the solid?
Answers
One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
about 11.5 cm.
Step-by-step explanation:
I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.
8^2+b^2=14^2 simplified: 64+b^2=196
Then, I subtracted 64 on both sides, so I would have "b" by itself.
b^2=132
Next, I found the square root of both b^2 and 132, so I would find the true value of "b."
b=11.4891252931
So, the measure of the other leg rounded to the nearest tenth is about 11.5.
Fill in the blank using a term found in the vocabulary list. The ratio of the value of a subtotal to the value of the total is called _________________.
Answers
Answer:
Relative frequency
Step-by-step explanation:
could someone help me with this
Answers
5.7•10^-3
What is -3/5 multiplied by 4/7?
Pls show answer with step by step answers explained pls
Answers
Answer:
-12/35
Step-by-step explanation:
-3×4/5×7
-12/35
Convert:
35 pounds, 24 ounces=_ ounces
Answers
Answer:
Step-by-step explanation:
1 pound = 16 ounces
35 pounds = 560 ounces + 24 ounce = 584ounces
35 pounds,24ounces = 16 ounces
What is the product of 2x + 3 and 4x^2 - 5x + 6
Answers
Answer:
8
x
3
+
2
x
2
−
3
x
+
18
Step-by-step explanation:
simply the answer thought bc i didn't simplify
During a professional baseball game, every
spectator placed his or her ticket stub into one of
several containers. After the game, the coach
chose twenty people to march in the victory
parade. What is the sample in this situation?
Answers
Answer:
20 people chosen to March
Step-by-step explanation:
The sample can be explained as a random subset of the population. It is a given number of draws or selection made usually at Random from the entire or larger population set. The sample is usually smaller Than the population and if done randomly will be representative of the population set. The entire spectator attending the baseball game is the population of interest while the 20 selected from the entire pool to March in the victory parade is the sample data obtained from the population set.
A smartphone regularly sells for $125. It is on sale this week for $85. The sale
price is what percent of the regular price?
Answers
Answer:
68%
Step-by-step explanation:
85 divided by 125 = .68 * 100 = 68
Answer: The sale price is 40 percent of the regular price
Step-by-step explanation:
Stonewall receives ¢250 per year in simple interest from an amount of money he invested in
ADB, Barclays and GCB. Suppose ADB pays an interest of 2%, Barclays pays an interest of
4% and GCB pays an interest of 5% per annum and an amount of ¢350 more was invested in
Barclays than the amount invested in ADB and GCB combined. Also, the amount invested in
Barclays is 2 times the amount invested in GCB.
a) Write down the three linear equations and represent them in the matrix form AX = B.
b) Find the amount of money Stonewall invested in ADB, Barclays and GCB using Matrix
Inversion
Answers
Answer:
The amount invested in ADB is ¢1363.[tex]\overline 3[/tex] =
The amount invested in Barclays is ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB is ¢1,713.[tex]\overline 3[/tex]
Step-by-step explanation:
The parameters of the investment Stonewall made are;
The amount in interest he receives from ADB, Barclays and GCB = ¢250
The amount of interest ADP pays = 2% per annum
The amount of interest Barclays pays = 4% per annum
The amount of interest GCB pays = 5% per annum
The amount invested in Barclays = The amount invested in ADB and GCB + ¢350
The amount invested in Barclays = 2 × The amount invested in GCB
a) Let 'x', represent the amount invested in ADB, 'y' represent the amount invested in Barclays, and 'z', represent the amount invested in GCB
We have;
y = x + z + 350
y = 2·z
0.02·x + 0.04·y + 0.05·z = 250
Therefore, we get the three linear equations as follows;
-x + y - z = 350...(1)
y - 2·z = 0...(2)
0.02·x + 0.04·y + 0.05·z = 250...(3)
Using Matrix inversion, we have;
[tex]\left[\begin{array}{ccc}-1&1&-1\\0&1&-2\\0.02&0.04&0.05\end{array}\right] \times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}350&0&250\end{array}\right][/tex]
The transpose of the 3 by 3 matrix [tex]M^T[/tex] is given as follows;
[tex]M^T = \left[\begin{array}{ccc}-1&0&0.02\\1&1&0.04\\-1&-2&0.05\end{array}\right][/tex]
The Adjugate Matrix is given as follows;
[tex]Adj = \left[\begin{array}{ccc}0.13&-0.09&-1\\-0.04&-0.03&-2\\-0.02&0.06&-1\end{array}\right][/tex]
The inverse of the matrix = Adj/Det where, Det = -0.15, is therefore;
[tex]M^{-1} = \left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right][/tex]
We therefore, get the solution as follows;
[tex]\left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right]\times \left[\begin{array}{c}350&0&250\end{array}\right] = \left[\begin{array}{c}\dfrac{4,090}{3} \\&\dfrac{10,280}{3} \\ & \dfrac{5,140}{3} \end{array}\right][/tex]
[tex]\begin{array}{c}x = \dfrac{4,090}{3} \\&y = \dfrac{10,280}{3} \\ & z = \dfrac{5,140}{3} \end{array}[/tex]
The amount invested in ADB, x = ¢4,090/3 = ¢1363.[tex]\overline 3[/tex]
The amount invested in Barclays, y = ¢10,282/3 = ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB, z = ¢5,140/3 = ¢1,713.[tex]\overline 3[/tex]
HELP NQNSJNDNXJJXnwnfnf
Answers
Answer:
C. 14 is the answerStep-by-step explanation:
1. Write the question.
17 - 2x = -11
2. Subtract 17 from both sides
-17 -17
- 2x = -28
3. Negatives cancel
2x = 28
4. Divide both sides by 2
/2 /2
x = 14
5. Check the answer, write the equation.
17 - 2x = -11
6. Substitute x with the value
17 - 2(14) = -11
17 - 28 = -11
-11 = -11
The answer is correct!
So, 14 is the answerHope this helped,
Kavitha
in 50 item test nestor got 95% correctly. how many correct answers did he get
Answers
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
Plzzzzz I need help asap thank you
No links plzzzzz
Answers
Answer:
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Step-by-step explanation:
0.003 ; -1.4 ; 100/50 = 2 ; 0.85 ; 2/3 = 0.67 ; 3% = 3/100 = 0.03 ; 7/8 = 0.875 ;
0.3 , -0.7
0.003 ; -1.4 ; 2 ; 0.85 ; 0.67 ; 0.03 ; 0.875 ; 0.3 ; -0.7
Least to greatest:
-1.4 ; - 0.7 ; 0.003 ; 0.03 ; 0.3 ; 0.67 ; 0.85 ;2
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Negative numbers have least value.Then in decimal numbers, the number having the least value in tenth is the least
There are a total of 105 students in a drama club and a yearbook club. The drama club has 15 more students than the yearbook club. How many students are in the drama club? the yearbook club?
Answers
Find ZUWT helpp plzz dont put links
Answers
Answer:
i can't see clear
Help me please I have an f in this class I will give you 44 points
Answers
8 x 7s = 56s
8 x (-2) = -16
so 8(7s - 2) = 56s - 16
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
a. annual premium: $ a0
b. monthly premium: $ a1
Answers
Answer:
Step-by-step explanation:
a. annual premium: 79.35
b. monthly premium: 7.14
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.
What is division?One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.
Given: Marcie Ann Weber,
insured amount of term insurance plan = $15,000.
Number of year = 10 year
To find the amount of annual premium:
Divide the total insured amount by number of years.
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
To find the amount of monthly premium:
Monthly premium = Insured amount of term insurance plan / Number of month in 10 year
Monthly premium = 15,000 / (10 x 12)
Monthly premium = 15,000 / 120
Monthly premium = $125 per month.
Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.
To learn more about the division;
https://brainly.com/question/13263114
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