Answer:
3520 Yards
Step-by-step explanation:
1 Mile = 1760 Yards
Answer: 3520 yards
Step-by-step explanation:
1 mile = 5280 x 2 = 10,560
2miles = 10,560
in yards = 3520 yards
X-2y=5 2x-4y=10
Put both equations in slope-intercept form
Solve the systems of equations by substitution
Solve the systems of equations by graphing
ONE HUNDRED POINTS HURRY
Step-by-step explanation:
X-2y=5 ; 2x-4y=10
• x - 2y = 5 • 2x -4y = 10
-2y = -x+5 -4y= -2x +10
y1 = ½x - 5/2 y2 = ½x -5/2
• => y1 = y2
½x -5/2 = ½x -5/2
the systems have no solution
• graph as attached
Answer:
[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
True for all x (infinitely many solutions)
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given equations:
[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]
To put both equations in slope-intercept form, rearrange both equations to make y the subject:
Equation 1
[tex]\implies x-2y=5[/tex]
[tex]\implies x-2y+2y=5+2y[/tex]
[tex]\implies x=5+2y[/tex]
[tex]\implies x-5=5+2y-5[/tex]
[tex]\implies 2y=x-5[/tex]
[tex]\implies 2y \div 2=(x-5) \div 2[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Equation 2
[tex]\implies 2x-4y=10[/tex]
[tex]\implies 2x-4y+4y=10+4y[/tex]
[tex]\implies 2x=10+4y[/tex]
[tex]\implies 2x-10=10+4y-10[/tex]
[tex]\implies 4y=2x-10[/tex]
[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Therefore, both equations are the same as they have the same slope and y-intercept.
As both equations are the same, this system of equations is called an equivalent system.
To solve a system of equations by substitution, substitute one equation into the other:
[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]
As both sides are equal, the solution is true for all x.
The solution to a graphed system of equations is the point(s) of intersection.
When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.
Learn more about systems of equations here:
https://brainly.com/question/21447811
https://brainly.com/question/27357423
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
pliss solve and give evidence
Answer:
4f + 3g
Step-by-step explanation:
g + 3f + f + g + g
3f + f = 4f
g + g = 2g + g = 3g
4f + 3g
can someone please help me find f
What is 2 of 1,800,000÷3?
Answer:
Of is a keyword for multiplication.
So, your equation is really 2 X 1,800,000÷3=?
Final answer: 1,200,000
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
what is the value of an that makes the equation to 5m×(5^-7)^m=5^12
Answer:
I think the answer is 11 because 244140625/(5^3*5^(-2)*5^11)
m=11
[tex] \huge \bf\pink{a} \purple{n} \pink{s} \purple{w} \pink{e} \purple{r}[/tex]
[tex]5m = 60 \\ m = \frac{60}{5} = 12[/tex]
Are complementary angles adjacent?
A) Always
B) Sometimes
C) Never
Answer:
Always
Assumption:
At least how I know it.
What is the answer for this question (What does the equation 100+0.05p=0.25p represent?)
Answer:
100+0.30p
hope this helps
have a good day :)
Step-by-step explanation:
I need help with these
if -1 is a zero of polynomial ax^²-x²+x+4, find the value of a
Answer:
a = -2
Step-by-step explanation:
Given that,
-1 is a zero of the polynomial. i.e. x = -1.
The polynomial is :
p(x) = ax²-x²+x+4
We need to find the value of a.
Put x = -1 in the above polynomial.
p(1) = a(-1)²-(-1)²+(-1)+4
For zeroes,
p(1) = 0
a(-1)²-(-1)²+(-1)+4 = 0
a-1-1+4 = 0
a = -2
So, the value of a is equal to -2.
2/5 + 2/5
Help my sister
Answer:
4/5
Step-by-step explanation:
for this problem you just add across so it would be 2+2= 4 but you don't add 5+5 because their the same number
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
respectively. If the coefficient skewness is , use the information to answer
questions 9 and 10.
9. What is the approximate value of the third quartile
(Q3 ), correct to 2 decimal places?
Answer:
[tex]Q_3 = 56.45[/tex] --- The third quartile
[tex]Var = 370.18[/tex] -- Variance
Step-by-step explanation:
Given
[tex]Q_1 = 30.8[/tex] -- First quartile
[tex]Q_2 = 48.5[/tex] --- Median
[tex]\bar x = 42[/tex] --- Mean
[tex]Skp = -0.38[/tex] --- Coefficient of skewness
Solving (9): The third quartile [tex]Q_3[/tex]
This is calculated from
[tex]Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}[/tex]
So, we have:
[tex]-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}[/tex]
Cross Multiply
[tex]-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5[/tex]
Open bracket
[tex]-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0[/tex]
Collect like terms
[tex]-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704[/tex]
[tex]-1.38Q_3= -77.904[/tex]
Divide both sides -1.38
[tex]Q_3 = \frac{-77.904}{-1.38}[/tex]
[tex]Q_3 = 56.45[/tex] --- approximated
Solving (b): The variance
First, calculate the standard deviation from:
[tex]3IQR = 4SD[/tex]
[tex]IQR= Q_3 - Q_1[/tex]
So:
[tex]3IQR = 4SD[/tex]
[tex]3(Q_3 - Q_1) = 4SD[/tex]
Make SD the subject
[tex]SD = \frac{3}{4}(Q_3 - Q_1)[/tex]
[tex]SD = \frac{3}{4}(56.45 - 30.8)[/tex]
[tex]SD = \frac{3}{4}*25.65[/tex]
[tex]SD = \frac{3*25.65}{4}[/tex]
[tex]SD = \frac{76.95}{4}[/tex]
[tex]SD = 19.24[/tex]
So, the variance is:
[tex]Var = SD^2[/tex]
[tex]Var = 19.24^2[/tex]
[tex]Var = 370.18[/tex]
Explain why f(x) = x^2+4/x^2-2 is continuous at x = 2. a. f is defined at x = 2 b. f is not defined at x = 1 c. f is defined at x = -2 d. f is defined at x = 0
Answer:
a is correct and b is incorrect
3.xºy+ 9. Simplify
(please help bro +[ )
Answer:
[tex] {x}^{0} y + 9 \\ = y + 9[/tex]
what is the equivalent decimal to 3/3
Answer:
answer is 1
Step-by-step explanation:
3 and 3 gets cancel .when you divide the same number answer is always 1
WILL GIVE BRAINLIEST!! YOU MUST SHOW YOUR WORK! THANKS!
Jonathan is building a circular pond attached to a corner of his house. He wants to put bricks around the entire pond, including the sides that are against the house. The radius of the pond is 6ft.
Approximately how many feet of bricks does Jonathan need for the border of his pond? (Use 3.14 as an estimate for...I can’t put the sign....)
A. 28.26 ft
B. 30.84 ft
C. 37.68 ft
D. 40.26 ft
E. 46.68 ft
The formula for the circumference of a circle is 2 x 3.14 x radius
2 x 3.14 x 6 = 37.68
Please help me with at least one problem i’m sort of confused on them but I was able to get one. And I will mark brainiest
Answer:
1. 5.75 * 33 = $189.75
The bakers income is $189.75
2. 2 * y - 8 / 4 when y = 7
2 * 7 - 8 / 4 = 12
3. 76 + 4 * y^2 + 1 when y = 3
76 + 4 * 3^2 + 1 = 113
On a map of North Carolina, the distance between Raleigh and Charlotte is 3 1/4 inches. The scale on the map is 1 inch = 40 miles. What is the actual distance?
Answer:
130 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual distance = 31/4 x 40
convert 31/4 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
13/4 x 40 = 130 miles
Robert paid $28.40 for 8 notebooks. At this rate, how much would it cost Robert to buy 6 notebooks?
Answer:
It would cost $21.30 for Robert to buy 6 notebooks.
Step-by-step explanation:
find cost for each notebook:
28.40 ÷ 8 = 3.55
multiply by 6:
3.55 x 6 = 21.3
Hope this helped!
I need help again sorry-
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
PLEASE HELP I WILL MARK BRAINLIEST
Cubcivtiv tyk ok givyog Answer: gg
Step-by-step explanation:
40 points
hey whats the answer
pls show step explanation
Answer:.
Answer:1.we have dividend =divisor*quotient+remainder=
(x²+2x-1)(x²-2x+1)+(-4x+1)
=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1
=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1
=x⁴-4x²
Dividend is x⁴-4x².
2.
Multiplier is a-a²+1.
Answer:
[tex]i \: hope \: the \: above \: picture \\ helps[/tex]
[tex]have \: a \: nice \: day \: [/tex]
[tex]#Liliflim[/tex]
19 divided by 462, with remainder please
Answer:
0 remainder 19
Step-by-step explanation:
What is the scale length for an object that is 26”, if the scale is 1/8?
Answer:
3.25"
Step-by-step explanation:
If the scale is 1/8, then the model or drawing has lengths which are 1/8 of the objects lengths.
Find 1/8 of 26.
[tex]26 \times \frac{1}{8} = \frac{26}{8}= 3.25[/tex]
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
x = 10
Step-by-step explanation:
[tex]x^2 = 8^2 + 6^2\\x^2 = 64 + 36 = 100\\x = \sqrt{100} = 10[/tex]
complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates
Answer:
[tex]y=(x-3)^2-7[/tex]
Minimum
(-3,-7)
Step-by-step explanation:
[tex]y=x^2 -6x+2[/tex]
[tex]b=-6[/tex]
[tex]\frac{b}{2} =(-3)^2=9[/tex]
[tex]y+7=x^2-6x+9[/tex]
[tex]y=(x-3)^2-7[/tex]
-7 is a minimum.
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
Another identity problem...
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=
change x-2y=4 into slope-intercept form.
Answer:
y = (1/2)x - 2
Step-by-step explanation:
Slope intercept form: y = mx + c
x - 2y = 4
-2y = -x + 4
[tex]\frac{-2y}{-2}=\frac{-x}{-2}+\frac{4}{-2}\\\\y = \frac{1}{2}x - 2[/tex]
Please help me Im confused on this problem
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)