Answer:
D, 2; 5
Step-by-step explanation:
Sum the equations vertically to eliminate at least one variable.
You will obtain 8y = 40.
Divide both sides by 8. You will get y = 5.
Now we know the value or y. Substitute this value into the second equation (-6x+4y = 8). You will get -6x+(4×5) = 8. Multiply 4 and 5: -6x+20 = 8.
Solve for x by moving 20 to the other side and switching sign: -6x = 8-20.
So: -6x = -12 and therefore x = 2.
So now we know the value of x and y.
(x; y) = (2; 5)
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)
The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
To know more about the magnitude;
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For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
m24 = 115°
mZ1 = (2x)
m22 = (x + 28)
Answer:
n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.
Missing: m22 = | Must include: m22 =
Step-by-step explanation:
Can somebody help me solve this equation?
brainliest for the correct answer
Answer:
2250 m
Step-by-step explanation:
30 cm = 0.3 m
1 : 75 :: 0.3 : x
Product of extremes = product of means
1 *x = 75 * 0.30
x = 75 * 0.30
x = 22.5 m
Answer:
22.5 m
Step-by-step explanation:
Convert to meters
.3 / x = 1/75
multiply .3 by 75 to get 22.5 m
Which coordinate pair is a solution to the inequality 4x - 2y <22
Step-by-step explanation:
Given the inequality 4x - 2y < 22, to get the ordered pair of the inequality, we will have to set x = 0 and y = 0 and then solve
when x = 0;
4(0)-2y < 22
-2y < 22
Divide both sides by -2
-2y/-2 > 22/-2
y > -11
When y = 0
4x - 2(0)<22
4x < 22
x < 22/4
x < 11/2
will give crown
2x2=x/273x8=
Answer:
-193 is correct.
HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW
33
Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
x = 25.734083
[tex]x \approx 25.734[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
Substituting:
[tex]\displaystyle \tan 25^\circ=\frac{12}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{12}{\tan 25^\circ}[/tex]
Calculating:
[tex]\displaystyle x=\frac{12}{0.466307}[/tex]
x = 25.734083
Round to 3 decimals:
[tex]\mathbf{x \approx 25.734}[/tex]
h(x) = 2.63x - 15.78
What is the value of x if h(x) = 13.15?
Answer:
5
Step-by-step explanation:
2.63x5 = 15.78
easy multiple choice!
Answer:
what are the choices
Step-by-step explanation:
Answer: is there suppose to be a pic?
In a city in Ohio, the sales tax rate is 7%. What is the sales tax of a pillow that costs $8? *
Answer:
.56 cent
Step-by-step explanation:
Hope this helped you!! Give brainliest.
I need help on this question if you can I'll give you brainliest and 20 points
Please help due soon!
what is 2x2? I am rellying on you smart people
;)
Answer:
4
Step-by-step explanation:
2*2 answer is 4
Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=
Answer:
p=0.75$
d=1.25$
Step-by-step explanation:
2p+2d=4
So 2p=4-2d
2p+3d=5.25
4-2d+3d=5.25
d=5.25-4
d=1.25
2p+1.25*2=4
2p=4-2.5
2p=1.5
p=0.75
anyone know? plz help any oen
Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.
they got sold by her
Step-by-step explanation:
lol she sold her apples to people
Suppose the linear regression line y = 2.1x + 130 predicts sales based on the
money spent on advertising. If x represents the dollars spent in advertising,
and y represents the company sales in dollars, about how much can the
company expect in sales if it spends $150 in advertising?
Answer:
$445
Step-by-step explanation:
Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.
Linear regression represents the relationship between two variables. the value of y depends on the value of x.
x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y
y = 2.1 x + 130
y = 2.1 (150) + 130
y= 445
The company expects $445 in sales
The company expects $445 in sales.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.
Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.
Here, x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y as;
y = 2.1 x + 130
y = 2.1 (150) + 130
y = 445
Thus, The company expects $445 in sales.
Learn more about the function visit:
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I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded
PLEASE PLEASE PLEASE HELP ME ASAPPPP THANK YOU BRAINLY IF CORRECTTT
Article Il of the U.S. Constitution gives the president the power to:
A. issue executive orders.
B. appoint executive department leaders.
C. impeach leaders in Congress.
D. reject Supreme Court appointments.
Answer:
A
Step-by-step explanation:
the president can order the military basically
Answer:
A. Issue executive orders
Step-by-step explanation:
Article II Section I states that executive power will be invested in the president during his four year term. Meaning he has the power to issue executive orders.
whats 2 over 3 x5 in fractions
pls help!!! i will give brainliest!!
Answer:
About 84 liters
Step-by-step explanation:
Length*width*fill
24*19*0.75
111.51 liters*0.7=83.62=83.6 or 84 (estimated)
All in liters
Hope this helped :)
Answer:
It is about 84 litres to be exact 83.62
Step-by-step explanation:
Hope this helped have an amazing day!
The solutions of the equation f (x)=g(x) are-2 and1. If f and g are graphed on the same coordinate plane, which statement must be true?
49y²+42y+9 please I need help, I promise to rate you as the brain lest when I get the exact answer am looking for
Answer:
[tex]\huge\boxed{\sf (7y+3)(7y+3)}[/tex]
Step-by-step explanation:
[tex]\sf = 49y^2+42y+9\\\\=(7y)^2+2(7y)(3)+(3)^2\\\\Using \ Formula \ a^2+2ab+b^2 = (a+b)^2\\\\= (7y+3)^2\\\\= (7y+3)(7y+3)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
Plsss help ty I’ll mark u
Answer:
7/4 meter
Step-by-step explanation:
their all in fractions of 8 so let reduce
Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8
Pepper 5/8 cause that cant be reduced any lower
Squash - 7/8 cant be reduced any more
Now its asking to subtract the tallest plant from the smallest to see the diffrence
The tallest plant is Corn and the shortest is Pepper
19/8 - 5/8 = 14/8
reduce 7/4
Answer:
It is 14/5 meters taller.
Step-by-step explanation:
[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]