==========================================
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
Which fraction names the shaded part of the set?
The fraction of the shaded part of the set is 1/3.
Given is a figure in which there are total 12 parts with 4 parts shaded.
We need to find the fraction of the shaded part of the set,
To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.
In this case, the total number of parts is 12, and the number of shaded parts is 4.
Therefore, the fraction of the shaded part can be calculated as follows:
Fraction of shaded part = Number of shaded parts / Total number of parts
Fraction of shaded part = 4 / 12
Simplifying the fraction, we get:
Fraction of shaded part = 1 / 3
So, the fraction of the shaded part of the set is 1/3.
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If you were to roll a die one time, what is the probability of it landing on an odd number
Answer:
It's one half.
Step-by-step explanation:
There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.
whats nine plus ten if anyone knows this meme put the answer in
Answer:
jnoioikop
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Hahahahahahhahahahhahaha
What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)
Answer:
77%
Step-by-step explanation:
23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)
Answer:
77%
Step-by-step explanation:
30 was 100%
23 is x%
x=23*100/30 = 76.666.. rounded to 77%
I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz
Answer:
70
Step-by-step explanation:
blank % of $50 =$35
Let us take x in place of blank.
x % of $50 =$35
x/100 * 50 = 35
x/2 = 35
x = 35*2
x = 70
Therefore, 70% of $50 =$35
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
a(45) =-209
Step-by-step explanation:
a(n) = a +(n-1)d
d=-6
we have to get a1
By using:
a(10) = a1 +(10-1)-6=1
a(10) = a1 +(9)-6 =1
a1 =1+54=55
So:a(45) = 55 +(45-1)-6=-209
hope this helps
A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311000 in sales from these tickets. Assume that all tickets have the same price. How much money will they make if they sell 7000 tickets?
I need the answer please
Answer: i'm sorry i can not answer your question cos i can't see the last part of the problem but i riley wish i could but since i cant i'll thank you and rate you with 5 stars if you want to be friends we can just follow me and friend me you don't have to if you don't want to so stay safe around others
Step-by-step explanation:
Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?
A. (-2,0) and (-3,0)
B. (6,0) and (5,0)
C. (2,0) and (3,0)
D. (-6,0) and (-5,0)
Answer:
D
Step-by-step explanation:
yeah
Can Someone please help me I don’t understand
Answer:
me either whats your question?
Step-by-step explanation:
Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%
Answer:
B. 28.57%Step-by-step explanation:
Change in height:
72 - 56 = 16Percent of change:
16/56*100% = 28.57%Correct choice is B
Is the relation shown in the arrow diagram a function? Justify your answer.
Alternative text
Yes. The input 0.8 and 0.4 have only one output.
Yes. Each output has only one input.
No. Each input has only one output.
No. The input 1.2 has 2 outputs.
Answer:
No. The input 1.2 has 2 outputs.
Step-by-step explanation:
See attachment for complete question
The first circle represents the domain while the second represents the range of the function.
For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.
One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.
Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function
However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).
Hence, this does not represent a function.
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
Should be around 4.5
Step-by-step explanation:
If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5
Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answer:
Attached file
Step-by-step explanation:
There is no solution to the equation sec x = 0.
True or False
Answer
yes it is true
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?
Answer:
yes just fill up the 6 gallon jar up to the 4 galon mark
Step-by-step explanation:
4/3 ÷ 7/8 = in khan academy
Answer:
1/42
Step-by-step explanation:
1 11/21
Have a Merry Christmas!
What is the vertex of the graph of f(x) = |x – 13| + 11?
(–11, 13)
(–13, 11)
(11, 13)
(13, 11)
Answer:
(13, 11)
Step-by-step explanation:
I graphed the line and the vertex is at 13, 11
The vertex of the function f(x) = |x - 13| + 11 is (13,11)
How to determine the vertex?The function is given as:
f(x) = |x - 13| + 11
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (13,11)
Hence, the vertex of the function f(x) = |x - 13| + 11 is (13,11)
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blank ÷ 3/7= 7/15.
Answer:
1 4/45
Step-by-step explanation:
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.
Answer:
L = -0.5x + 34
Step-by-step explanation:
When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
what is 4km:370m in simplest form
Answer:
4.37 KM
Step-by-step explanation:
370 m to KM = 0.37 KM
then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.
Best regards
find the value of this expression if x= -7
x^2+5/x+1
Answer:
-9
Step-by-step explanation:
Replace x with -7 in the expression:
x^2 + 5 / x + 1
-7^2 + 5 / -7 + 1
49 + 5 / -6
54/-6
simplify the fraction
9/-1 = -9
Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?
Answer:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
The answer is the first table that represents viable solutions for y = 5x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The given function is y = 5x
Where x is the number of tickets sold for the school play
And y is the amount of money collected for the tickets.
For this case we have the following equation:
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Let's check all of the tables:
Table 1:
x = 0, y = 0 ⇒ 0 = 5 · 0 ⇒ 0 = 0
x = 10, y = 50 ⇒ 50 = 5 · 10 ⇒ 50 = 50
x = 51, y = 255 ⇒ 255 = 5 · 51 ⇒ 255 = 255
x = 400, y = 2000 ⇒ 2000 = 5 · 400 ⇒ 2000 = 2000
Since all calculations from the first table are correct.
We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
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Which expression is equivalent to 3^2 times 3^-5
Answer:
1/27 is the answer..... .......
Help plssssssssss!! Will give brainliest!! 1 and 2
Answer:
Step-by-step explanation:
5+4^2-6/3
use pemdas
Answer:hahaj
Step-by-step explanation:
PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!
Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.