Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
Pls help!! i beg you
Answer:
fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase
Hope It Helps!
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:
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.
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
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.58
Answer:
False
Step-by-step explanation:
1.58 the 8 is above five so it would round up to 1.6
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
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
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
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.
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
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!!!
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
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
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:
Help! I need help with these problems. please help.
Answer:
1. medium
2. 20%
3. 12.48
4. Noah
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]
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)
Write each expression as the product of its factor 24× ^2
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
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
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:
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]
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:
Write the fraction 46/90 in its simplest form
Which 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
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.
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 :)
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
on each of the following ellipses. (e) 4x2 + y2 = 64 (B) 9x2 + 4y2 = 36 Graph the vertices, foci, endpoints of the minor axis, and endpoints of the latera recta; then draw 2. the ellipse for each equation in problem 1. values for a, b, A (x, y) and B(x, y) from: AB is a chord of the partial ellipse with equation f(x)=a? - x . Find the length of AB using (b) 49x 2 + 625y2 = 30,625, A (15,f(15)), B(20,f(20)) + 4y (b) 25x + 6y? - 400 (d) 4x² + y² = 4 () x² + 4y = 36 h) 7x? + 8y = 112 = 360,000, A (15,f(15)), B(20,f(20)) 625y2 576x2 + (a) hthen find the equation of the allir inform
Answer:
the question is cutoff. please rewrite the question. please write exponents as 4x^2.