==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
Line L1 has the equation 7x - y = - 10
Answer:
X = 1.42857
Y = 10.00000
I hope this helps!
Mark as Brainliest!
Line BC is represented by 3x + 2y = 8. Line AD is represented by –3x – 2y = 6. What is the relationship of line BC to line AD? Explain how the sum of the equations demonstrates this relationship.
Answer:
2
Step-by-step explanation:
if you suntract the 2 you, 3x cancels 2y cancels, 8-6 is 2
Answer: Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.
Step-by-step explanation:
Calculate the slope by picking two points from the table and using the slow formula
What is the slope of the table? SHOW WORK
Circle the Y intercept on the table what is the Y intercept
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
help PLEASEE BRAINLIST
Answer:
The first two on the right will not be used
3. goes to 1.
4. goes to 2.
5. goes to 4.
6. goes to 3.
Step-by-step explanation:
$22 haircut; 20% tip
help..
Answer:
20% tip = $4.40; total = $26.4
Step-by-step explanation:
20 % = 0.20 ------> 22 * 0.20 = 20% of 22
20% of $22.00 = $4.40
total = $22.00 + $4.40
total = $26.40
round 0.927 to the nearest hundreth
What is the y-intercept of the line: y=-2x+6
Answer:
The answer is 6 because the y int is the last number
Answer:
6
Step-by-step explanation:
The line is written in slope-intercept form, which is y=mx+b.
mx represents the slope and b represents the y-intercept.
i need help with this asap!!
Answer:
perimeter you add all sides together:
5x+2 +5x+2 +x +8 +x+8
12x +20
and for Area you multiply:
(x + 8)(5x + 2)
5x^2 + 2x + 40x +16
5x^2 +42x +16
so your answer is the first one or "A"
How would you find x?
Answer:
A
Step-by-step explanation:
x=7
Solve one-step and two-step equations: word problems
Answer sorry
Step-by-step explanation:
i honestly don’t know the answer
I’m doing a percent equation and I need help please here is the question 80% of blank = 52
Tony hangs lights in his back yard. The rule c=14f gives the number of lights, c, there are for each foot, f, of wire. How many lights are on 8 feet of wire?
Answer:
112 lights
Step-by-step explanation:
The rule c=14f gives the number of lights, c, there are for each foot, f, of wire.
We need to find the number of light on 8 feet of wire.
Put f = 8 in the given rule equation
c = 14 × 8
= 112
Hence, there are 112 lights on 8 feet of wire.
what is the value of f(x) when x=3 -3 -3 1 4
Answer:
C 0<h<1400
Step-by-step explanation:
You have to calculate the first 40 hours of pay at a 20$ rate which is $800. Then you have to calculate the overtime which is the remaining 20 out of 69 hours he can work times 30$ which is $600
$600+$800=$1400, which is the maximum amount he could make
Find the size of unknown angles
Answer:
in one angle there is 90 degres
Why is 2020 edge so hard and annoying I’m on edge 10 hours a day! Here is 14 points
Answer:
hey i lucked out again
Step-by-step explanation:
And yea 2020 edge is very hard
Help ill give brainlist
Answer:
Congruent is the answer
She needs to find her maximum heart rate m by subtracting her age a from 220 write an equation she can use
Answer:
220 - a = m
Step-by-step explanation:
her age is the variable "a"
Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24
Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}
Use the given information to write the equation of the line in slope-intercept form.
Slope -6
Y intercept (0,-9)
Evaluate the expression sv2 for s = 11 and v = 8
help please quick
I don’t understand this assignment!!
Answer:
Equation of the Line: y = 1.25x + 5
Equation in Standard Form: 5x - 4y = -20
Step-by-step explanation:
y = mx + b
[tex]\frac{17.5 - 22.5}{10 - 14}[/tex] = [tex]\frac{-5}{-4}[/tex] = [tex]\frac{5}{4}[/tex] or 1.25
y = 1.25x + 5
Ax + By = C (A must be positive, and no fractions or decimals)
y = 1.25x + 5
-1.25x + y = 5
times -4
5x - 4y = -20
please help me :((((
Answer:
b i think
Step-by-step explanation:
Answer:
its G
Step-by-step explanation:
the y intercept (where the line crosses y line) is (0,2)
What is the y intercept of the line 2x + 3y = -15?
Answer:
y intercept: (0,-5)
Step-by-step explanation:
PLEASE HELP!!!!!!!!! 100 POINTS !!!!!!!!!!
Find the equation of the line with y -intercept - 1 and slope 6/7
Answer:
the answer is 5/6
Step-by-step explanation:
the company is not the first BFF to come to mr as default
the answer is 5/6. have a good day
3) The ratio of blue chairs to red chairs in Ms. Escobedo's class is 4 to 7. Which of
the following cannot represent the total number of chairs in Ms. Escobedo's
class?
Answer:
20
Step-by-step explanation:
7+4=11
11 multiplied can be 22, 33, and 44 but not 20
-3x -10=32
can anybody help me
Answer:
x=-14
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
x= - 14
1
Here is the question again
Answer:
[tex]\huge\boxed{11}[/tex]
Step-by-step explanation:
[tex]\sf = y^2-x^2\\\\Put \ y = 6 \ and \ x = 5\\\\=(6)^2-(5)^2\\\\=36-25\\\\= 11\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807pls help i need asap for homework
-5/6m = -60
m = ?
Step-by-step explanation:
Hey there!
Given;
-5/6m = -60
~ Multiply "6m" and "-60".
-5 = 6m*-60
-5 = -360m
~ Divide "-5" by "-360"
m = -5/-360
m = 1/72
Therefore, the value of "m" is 1/72.
Hope it helps....
select the correct answer from each drop down menu
a relation is defined by the points (1,4), (3,-1), (-1,-2) and (1,-3)
this relation (is) (is not) a function because there (is no x-value) (is one x-value) (are two x-values) corresponding to multiple y-values.
Answer:
The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values
Step-by-step explanation:
Here we want to explain why the given set of points do not represent a function
For a function, we can have same y value for different x value
But, we cannot have same x value for different y value
The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)