Given:
The system of equation is
[tex]2x+y=8[/tex]
[tex]x-y=10[/tex]
To find:
The value of the system determinant.
Solution:
If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is
[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]
[tex]D=a_1b_2-b_1a_2[/tex]
The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].
Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].
[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]
[tex]D=(2)(-1)-(1)(1)[/tex]
[tex]D=-2-1[/tex]
[tex]D=-3[/tex]
The value of the system determinant is -3. Therefore, the correct option is C.
Answer:
-3
Step-by-step explanation:
2x+-3=8
x-3=10
6. The net of a rectangular prism and its dimensions are shown in the diagram.
8 in.
8 in.
2 in
2 in.
12 in.
12 in
What is the total surface area of the rectangular prism in square inches?
Answer:
272 square inches
Step-by-step explanation:
Given
[tex]l = 8[/tex] --- length
[tex]w = 2[/tex] --- width
[tex]h = 12[/tex] ---- height
Required
Determine the total surface area (SA)
This is calculated using:
[tex]SA = 2 * (lw + wh + lh)[/tex]
[tex]SA = 2 * (8*2+2*12+8*12)[/tex]
[tex]SA = 2 * 136[/tex]
[tex]SA = 272[/tex]
The total surface area is 272 square inches
PLEASE HELP!! URGENT!
I think is B but I am not 100% sure goodluck if I am wrong I am sorry :(
5. What's the fraction 18/24 reduced to its lowest terms?
O A. 18/24
ОВ. У.
O c. %12
D. 2418
Answer:
The answer is 3/4, i don't know why that's not a choice....
Step-by-step explanation:
38
4(x + 7) = 38
x +7
x+7
x +7
x +7
Answer:
x = 2.5
Step-by-step explanation:
4(x + 7) = 38
4x+28 = 38
4x = 10
x = 2.5
Solve
5x + 2y = 24
3x + 2y = 16
Answer:
-2/5 y+ 24/5
-2/3 y + 16/3
Step-by-step explanation:
What’s the value of X ? PLS HELP )):
Answer:
By angle sum property,
56 + 92 = 148
180 - 148 = 32
linear pair
so , 180 - 32
= 148
Hope it helps
Please mark me as the brainliest
Thank you
what is the unit rate of 2 = 4.5 of a unit rate
Answer:
1 = 2.25
Step-by-step explanation:
4.5/2 = 2.25
Meaning 1 is 2.25
Hope this helped!
Answer:
2.25
Step-by-step explanation:
I need help bad i don’t understand this so plz help
Answer:
B : y axis is parallel
x axis is perpendicular
4: (4,8) (4,10)
5: (4,25)
Step-by-step explanation:
Hope this helps, and if you can please mark me Brainiest.
9min:600s in its simplest form
Answer:
9/10
Step-by-step explanation:
9m = 540s
540/60 = 9
600/60 = 10
Plz mark brainliest thanks
find the area plz and thank u
Answer:
A = 173.82
Step-by-step explanation:
[tex]A = 2 (1 + \sqrt{2}) a^{2}[/tex]
a = 6
substitute 6 for a
A = 2 (1 + [tex]\sqrt{2}[/tex]) [tex]6^{2}[/tex]
solve:
A = 2 (1 + [tex]\sqrt{2}[/tex]) 36
A = 173.82
Answer:
Around 173.8 km (rounded to the nearest tenth of a km
Step-by-step explanation:
The area of an octagon can be found using the expression:
A=2(1+sqrt of 2)a^2
plug your side of 6 in to create the following equation:
A=2(1+sqrt of 2)(6^2)
Solve for A:
A= (2 + 2*sqrt of 2)(36) I multiplied 6 by 6 to get 36 and used distributive property on the other section.
A=72+72sqrt of 2
plug that in a calculator and you get around 173.8 km
The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
[tex]15^2-4^2=225-16\\=209[/tex]
[tex]\sqrt{209}[/tex]≈14.9
Answer:
14.5
Step-by-step explanation:
15x15=225
4x4=16
225-16=209
The square root of 209 is 14.4568322948.
Which rounds to 14.5
Eliza estimated she would spend $120 at the grocery store. She actually spent $95. What is the percent error?
Which linear inequality represents the solution set graphed?
A. y≥4x+5
B. y>4x-5
C. y≥4x-5
D. y>-4x-5
The linear inequality (B) y>4x-5 represents the given solution set graph.
What is linear equality?A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in linear inequality. It displays non-equal data in graph style. The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed. Typically, the half-plane that resolves the inequality is shaded.So, the linear inequality that represents the graph:
Graph the inequation as follows:
(A) y≥4x+5 (Refer to attached Graph 1)(B) y>4x-5 (Refer to attached graph 2)(C) y>-4x-5 (Refer to attached graph 3)Now, we can easily notice that graph 2 which is of equation (B) y>4x-5 matches the given graph.
Therefore, the linear inequality (B) y>4x-5 represents the given solution set graph.
Know more about linear equality here:
https://brainly.com/question/28964520
#SPJ1
The correct question is given below;
Which linear inequality represents the solution set graphed?
A. y≥4x+5
B. y>4x-5
C. y>-4x-5
Does someone know the answer to this?
Answer:
both sides are congruent meaning it is a 45/45 triangle. that makes y=45. you can then use sin(45)=x/12 which when solved is 8.49 approximately
on the Mastery Assessment
, 87% of the students in the 7th grade
got a passing grade. If there are 48 students in the 7th grade, how
many of students got a passing grade?
Answer:
41 students get a passing score.
Step-by-step explanation:
48*0.87 = 41.76
You remove the 0.76 because you can not have a percent of a student.
log x - log 6 = 2 log 4
log(x) - log(6) = 2 log(4)
Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):
log(x / 6) = 2 log(4)
Rewrite the right side, using the property n log(a) = log(aⁿ ):
log(x / 6) = log(4²)
log(x / 6) = log(16)
Cancel the logarithms (i.e. take the exponential of both sides):
exp(log(x / 6)) = exp(log(16))
x / 6 = 16
Solve for x :
x = 6 × 16
x = 96
Help me all the stuff on my profile are linked to this one please help
Answer:
17. false
18. true
19.false
20. can not be determined
21.false
22. y=-1/2x+4
23. y=3/4x+1/2
Step-by-step explanation:
Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?
A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a
Answer:
c=45a
Step-by-step explanation:
for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.
simplify (12x^3-8x^2)-(3x^3+9x^2+x-7)
Answer: 9x3-17x2-x+7
Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which statement is TRUE about the experimental and theoretical probabilities?
A) The theoretical probability for rolling a 3 is the same as for rolling a 6.
B) The theoretical probability for rolling a 3 is greater than for rolling a 6.
C) The experimental probability for Aaron's tries is the same as Michelle's tries.
D) The experimental probability for Aaron's tries is less than the experimental probability for Michelle's tries.
Answer:
D.)
Step-by-step explanation:
because aron's tries too many times.
the answer is
= A
if you read cafully (dont acually read carefully )
the answer is A
May anyone please help me with this math question
Answer:
x = 42
Step-by-step explanation:
You can set up an equation to solve for the missing variable. Divide 2/7 on both sides.
2/7(x) = 12
x = 42
help meeee i will give brainliest :)
Step-by-step explanation:
(-7+1)/(5-1)=-6/4= -3/2 is the slope
answer is C
Answer:
C
Step-by-step explanation:
The formula for slope is rise/run
Rise is the difference between the y coordinates
Run is the difference between the x coordinates
To find the rise and run:
ex.
(a, b), (c, d)
rise:
d-b
run:
c-a
Slope:
d-b/c-a
In this situation:
rise:
-7-(-1)
run:
5-1
Slope:
-7-(-1)/5-1
= -6/4
=-3/2
So the answer is C
Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2
Answer:
11/5 = 2 1/5
11/5 = 2.2
Step-by-step explanation:
A parallelogram has vertices (5,0), (3, -3), (-4, -3) and (-2, 0) The
diagonals of the parallelogram intersect at their midpoints. A. What are the coordinates of the
intersection of their diagonals? Justify the answer algebraically.
Answer:
(0.5 , -1.5)
Step-by-step explanation:
intersection of their diagonals (E): right at the mid-point of segment AC or BD
A (5 , 0) and C (-4 , -3): E (x , y)
x = (5 + -4 ) / 2 = 0.5
y = (0 + -3 ) / 2 = - 1.5
E ( 0.5 , - 1.5)
check with BD: x = (3 + -2) / 2 = 0.5 y = (-3 + 0) / 2 = - 1.5
Which expression represents the factored form of 6x+2-13x-5?
Step-by-step explanation:
Hɪ!
ʏᴏᴜʀ ᴀɴsᴡᴇʀ ɪs ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...
Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
6x^2 + 2x - 15x - 5
2x(3x + 1) -5(3x + 1)
(2x -5)(3x + 1)
Find the number of real-number solutions of the equation.
x2 + 10 = 2
A. two solutions
B. one solution
C. no solutions
D. infinitely many solutions
Answer: A
Step-by-step explanation:
Take the root of both sides and solve.
Answer:
A
Step-by-step explanation:
It just is
1)
Ahmad does a statistical experiment.
He throws a dice 600 times.
He scores one, 200 times.
Is the dice fair? Explain your answer
Answer:
The dice is not fair.Step-by-step explanation:
600 times
and
6 sides to said dice
600 / 6 = 100100 is NOT 200100≠(Not equal sign)200
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I would recommend writing/typing all of this as your answer.
Hope I helped!!
a triangle with one right angle and no
congruent sides
Answer:
That triangle is called a Scalene Triangle
Step-by-step explanation:
Have a great day!
Anna's Savings Dollars Saved 4 8 Dollars Spent 6 12 18 24 Dollars Earned 10 30 40 Anna walks dogs to earn money. She saves $4 for every $10 she earns. Use your knowledge of ratios to determine whether each statement is TRUE for the missing values on the table. Anna saves $10 for every $20 she earns. Anna saves $12 for every $30 she earns. Anna saves $18 for every $40 she earns. The ratio of the amount of money Anna spends (in dollars) to the amount of money she earns is 3 to
Answer: is b peoples i repeat people who dont
know nothing its b b b b bb b b b b b b b b
Step-by-step explanation:
What is the solution to the system of equations graphed below?