Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
-6x - 3y = -72
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y
Write the fraction 46/90 in its simplest form
Joan reads that the mass of an average
elephant's brain is 34 kilograms greater
than an average man's brain. How many
kilograms is an average elephant's brain?
Answer:
35.5 kilograms
Step-by-step explanation:
An average human's brain is 1.5 kilograms.
1.5 + 34 = 35.5
Help! I need help with these problems. please help.
Answer:
1. medium
2. 20%
3. 12.48
4. Noah
PLEASE HELP DUE SUPER SOON
Answer:
2 Blocks
Step-by-step explanation:
Answer:2/3
Step-by-step explanation: 2 blocks apart so just 1/3 times 2=2/3
Which expression is equivalent to 2x2 + 2x + 4? (2x - 1)(x + 4) (2x + 1)(x - 4) C (2x + 1)(x + 4) None of these
Answer:
D. None of theseStep-by-step explanation:
Given expression:
2x² + 2x + 4Answer options for equivalent expression:
A. (2x - 1)(x + 4)= 2x² + 8x - x - 4 = 2x² + 7x - 4
IncorrectB. (2x + 1)(x - 4) = 2x² - 8x + x - 4 = 2x² - 7x - 4
IncorrectC. (2x + 1)(x + 4) = 2x² + 8x + x + 4 = 2x² + 9x + 4
IncorrectD. None of these
CorrectWhich set of numbers are factors of 20? *
25 points
3, 5, 9
2, 4, 6
1, 2, 4
Answer:
the asswer is 1 2 4
Step-by-step explanation:
1×20=30
2×10=20
4×5=2
Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
L(0,5), M(3,1), N(8,1): Is it outside, inside or on?
The orthocenter is ( , )
Answer:
see explanation
Step-by-step explanation:
The orthocentre is
• Inside all acute triangles
• Outside all obtuse triangles
• On all right triangles
To determine if the triangle is any of the above, we require the lengths of the 3 sides of the triangle.
Calculate the lengths using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
L(0, 5) and M(3, 1)
LM = [tex]\sqrt{(3-0)^2+(1-5)^2}[/tex] = [tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5
L(0, 5) and (N(8, 1)
LN = [tex]\sqrt{(8-0)^2+(1-5)^2}[/tex] = [tex]\sqrt{8^2+(-4)^2}[/tex] = [tex]\sqrt{64+16}[/tex] = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex]
M(3, 1) and (N(8, 1)
MN = [tex]\sqrt{(8-3)^2+(1-1)^2}[/tex] = [tex]\sqrt{5^2+0^2}[/tex] = [tex]\sqrt{25}[/tex] = 5
Given 3 sides of a triangle a, b, c where c is the longest side, then
• a² + b² = c² ⇒ right triangle
• a² + b² < c² ⇒ acute triangle
• a² + b² > c² ⇒ obtuse triangle
Here a = 5, b = 5, c = 4[tex]\sqrt{5}[/tex]
a² + b² = 5² + 5² = 25 + 25 = 50
c² = (4[tex]\sqrt{5}[/tex] )² = 80
Since a² + b² < c² then triangle is obtuse and the orthocentre is outside the triangle.
The orthocentre is the point of intersection of the 3 Altitudes of the triangle.
We only require to find the equation of 2 of the altitudes and solve them simultaneously to obtain the coordinates of the orthocentre.
An Altitude is a line from a vertex at right angles to the opposite side
Altitude from M to LN
Calculate the slope of LN using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{1-5}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex] ⇒ [tex]m_{perpendicular}[/tex] = 2
Equation of altitude
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y = 2x - 5 → (1)
Altitude from N to LM
m = [tex]\frac{1-5}{3-0}[/tex] = - [tex]\frac{4}{3}[/tex] ⇒ [tex]m_{perpendicular }[/tex] = [tex]\frac{3}{4}[/tex]
Equation of altitude
y - 1 = [tex]\frac{3}{4}[/tex](x - 8)
y - 1 = [tex]\frac{3}{4}[/tex] x - 6
y = [tex]\frac{3}{4}[/tex] x - 5 → (2)
Equating (1) and (2)
2x - 5 = [tex]\frac{3}{4}[/tex] x - 5 ( multiply through by 4 )
8x - 20 = 3x - 20
5x - 20 = - 20 ( add 20 to both sides )
5x = 0 ⇒ x = 0
Substitute x = 0 into (1)
y = 0 - 5 = - 5
The orthocentre is (0, - 5 )
Answer:
The orthocenter is outside the triangle, at (0, -5)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. So let's find the slope-intercept equation of "LM" "MN" and "LN" then determine it's perpendicular:
LM: slope = m = 1-5/3-0 = -4/3, equation => y = -4/3x + 5, perpendicular => y = 3/4x + b
this line passes through the opposite point, (8, 1)...therefore we can find b:
y = 3/4x + b
1 = 3/4(8) + b, b = -5, equation => y = 3/4x - 5
______________________________________
MN: slope = m = 1-1/8-5 = 0, equation => y = 1, perpendicular => x = ?
the line passes through the opposite point (0, 5)...so we can find ? or b:
x = ?, equation => x = 0
______________________________________
LN: slope = m = 1-5/8-0 = -4/8 = -1/2, equation => y = -1/2x + 5, perpendicular => y = 2x + b
the line passes through the opposite point (3, 1)...so we can find b:
1 = 2(3) + b, b = 1-6 = -5, equation => y = 2x - 5
______________________________________
System of Equations:
[tex]\begin{bmatrix}y=\frac{3}{4}x-5\\ y=2x-5\\ x=0\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=\frac{3}{4}x-5: \begin{bmatrix}x=0\\ \frac{3}{4}x-5=2x-5\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=0: \begin{bmatrix}\frac{3}{4}\cdot \:0-5=2\cdot \:0-5\end{bmatrix}[/tex]
[tex]\mathrm{Simplify\:}: \begin{bmatrix}-5=-5\end{bmatrix}[/tex]
[tex]\mathrm{For\:}y=\frac{3}{4}x-5,\\\mathrm{Substitute\:}x=0,\\y=\frac{3}{4}\cdot \:0-5 = -5[/tex]
[tex]y=-5,\:x=0[/tex]
_____________________________________
The orthocenter is outside the triangle, at (0, -5)
I know how to do this but I am too lazy to do this . soooo plx you guys fo it .
Answer:
Lol what do I do?
Step-by-step explanation:
12345678910
Which point is a solution to the inequality shown in this graph?
(3, 2)
(-3,-6)
Answer:
B. (0, 5)
Step-by-step explanation:
All points on the blue shaded area are solutions. Points on the dashed line and on the white area are not solutions.
(-3, -6) and (3, 2) are on the dashed line and are not solutions.
(5, 0) is in the white area and is not a solution.
(0, 5) is in the shaded area and is a solution.
Answer: B. (0, 5)
how many kilometers would we have travelled in 10 hours
Answer:
in 10 hours you will travel 800 km which is like 500 miles if you're driving
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
How much more plaid ribbon than polka-dot ribbon does she have?
Last one
Answer:
7/8
Step-by-step explanation:
I think but im 60% im right
5) Solve the equation for x.
log(x + 1) = 3
x=2
y=6
x and yt are different variables
Answer:
999
Step-by-step explanation:
[tex]log(x)=y\\x=10^y\\log(x+1)=3\\x+1=10^3\\x=999[/tex]
Can anyone help me with this? (I also need a reasoning)
the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?
Answer:
a. Doors = 31 doors
b. Windows =155 windows
Step-by-step explanation:
Given the following data;
Ratio D:W = 1:5 = 1 + 5 = 6
Total number of doors and windows = 186
Ratio of doors to windows = 1/6
Ratio of windows to doors = 5/6
To find the ratio of the doors;
Doors = 1/6 * 186
Doors = 186/6
Doors =31 doors
To find the ratio of windows;
Windows = 5/6 * 186
Windows = 930/6
Windows =155 windows
Answer these please. :0
Answer:
I wrote the answers below
Step-by-step explanation:
x+3<70------>0,60
-5x<2--------->3,5
5x<2---------->-3,-1
-3x>18-------->-10,-20
Which of the following is not a statement?
a) Math is hard.
b) v2 is a rational number.
C) Plants require water to live.
d) Lake Martin is a man-made lake.
A ) I am just guessing
isbslw
Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to
O multiplying à fraction by a repeating decimal.
Mark this and return
Save and Exit
Next
Submit
Answer:
multiplying by a fraction
Step-by-step explanation:
rational answers can be a fraction.
hope this helps :)
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:
Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
What is the least value of x for which the inequality is true?
16 > - 2x
Answer:
Step-by-step explanation:
16>-2x
-2x<16
x>-8
answer this please!!
Answer:
I really don't know, but you submitted this like 23 hours ago, so I don't think it will help if I answer!!!
Step-by-step explanation:
Can I be Brainliest!!!
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is
apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's
market? )
Express your answer in fraction and decimal form.
Solve on paper. Then check your work on Zearn. )
The farmer sold
kg or
kg of pears.
8
9
Enter ✓
0
3
5
Answer:
1.52
Step-by-step explanation:
Solve. You must factor first.
8n^2 29n + 15 = 0
Please show work
Answer: Multiply n299 by n by adding the exponents
Step-by-step explanation:
8n230+15=0
2/5 times 17
WHOEVER ANSWERS FIRST I GIVE BRAINY!
Answer:
6.8
Step-by-step explanation:
(2/5)*17
=6.8
Answer:
the answer is 6.8
Step-by-step explanation:
2 17
--- x -------- = 34
5 1 ------
5
34 divided by 5 = 6.8
hope this helped have a great day.
Help me with my math **50 pts** I mark brainliest**
Answer:
2)
[tex]2x + 6x + 8 = 32[/tex]
collect like terms
[tex]8x + 8 = 32[/tex]
move the constant to the right hand side and change its sign.
[tex]8x = 32 - 8[/tex]
Subtract the numbers
[tex]8x = 24[/tex]
Divide both sides of the equation by 8
[tex]x = 3[/tex]
Two eights of the championship football game tickets sold for under $30. One eighth of the tickets sold for more than $100. What fraction of the tickets sold for an amount between $30 and $100?
Answer:
I think 2/8 + 1/8 = 3/8
8/8 - 3/8 = 5/8
what is 6 * 8/5 as a fraction
Answer:
48/5 or in simplified version its 9 3/5
Step-by-step explanation:
Answer:
9 3/5
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
D
Step-by-step explanation:
It's D
Answer:
Answer D
Step-by-step explanation:
Its right I just took the test.
Start at 7. Create a pattern that has multiples by 7. Stop when you have 5 numbers
Answer:
7,14,21,28,35
Step-by-step explanation:
3/4 X24 in simplest from
Answer:
3/4 x 24 = 3/4 x 24/1 = 72/4 = 18
Let me know if this helps!
2. Do the representations below define a function? *
10
1
10
2
10
3
10
4
Yes, it is a function,
No, it is not a function,
Answer:
No it is not a function for sure.