Answer:
[tex]y=\frac{1}{2}x+1[/tex]
The slope is 1/2.
The y-intercept is 1.
Step-by-step explanation:
We have:
[tex]x-2=2(y-3)[/tex]
Let’s divide both sides by 2. This gives us:
[tex]\frac{x}{2}-\frac{4}{2}=y-3[/tex]
Simplify:
[tex]\frac{1}{2}x-2=y-3[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}x+1=y[/tex]
Flip:
[tex]y=\frac{1}{2}x+1[/tex]
This is in the slope-intercept form:
[tex]y=mx+b\\[/tex]
Where m is the slope and b is the y-intercept.
Hence, our slope m is 1/2 and our y-intercept b is 1.
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
Which function rule does the graph represent?
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]PLEASE HELP
Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from
home if she were to take a direct path?
Answer:
10.3 (Rounded up)
Step-by-step explanation:
Pythagorean's theorem.
a^2 + b^2 = c^2
You're finding c^2, which is the direct path she would take to get back home. 9^2 + 5^2 is 81 + 25 = 106. Square root of 106 is 10.3 rounded up.
As an estimation we are told 5 miles is 8 km.
Convert 96 km to miles.
Answer:
90km is equal 56.25 miles
Answer:
Around 60 miles.
Step-by-step explanation:
First I found that 1 mile was equivalent to around 1.6 km.
8/5=1.6
To find how many miles were equivalent to 96 km I did
96/1.6=60.
60 miles are equivalent to 96 km.
(If you used a km to miles converter it would say exactly 59.6516)
what is z- 4/4 +8 simplified?
Answer:
aw baby naw that not cool
Step-by-step explanation:
a major Fishing Company does its fishing in a local League the first year of the company's operation it managed to catch 190000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number
ALL 4 ways of displaying a relation.
What is the value of “y” in y = -3x if the value of ‘x’ is 2?
Answer:y=-6
Step-by-step explanation:
-3(2)
When this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
-2m^3 + m^2 - m + ___?
A. -4
B. -3
C. 2
D. 4
Answer: it would be A. -4
Step-by-step explanation:
Got it right on the test
Option A is correct, the value of the polynomial's constant term is -4.
According to the remainder value theorem, if a polynomial is divided by (m+1) and the remainder is 0, it means that (m+1) is a factor of the polynomial.
The given polynomial is -2m³ + m² - m + ___
To find the constant term, we need to determine the value of the polynomial when m = -1 (since (m+1) = 0).
Substituting m = -1 into the polynomial, we get:
-2(-1)³ + (-1)² - (-1) + ___
Simplifying the expression, we have:
-2(-1) + 1 + 1 + ___
-(-2) + 1 + 1 + ___
2 + 1 + 1 + ___
4 + ___
Since the polynomial is divided by (m+1) and the remainder is 0, the constant term must be -4 to cancel out the 4 term and make the expression equal to zero.
Therefore, the value of the polynomial's constant term is -4.
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ2
3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)
Answer:
see explanation
Step-by-step explanation:
z - w
= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1
= 1 - 3i + 2 - 5i ← collect like terms
= 3 - 8i
------------------------------------------------------------
z × w
= (1 - 3i)(- 2 + 5i) ← expand using FOIL
= - 2 + 5i + 6i - 15i² [ i² = - 1 ]
= - 2 + 11i + 15
= 13 + 11i
What Number is this 1 x 1010^100
Answer:
2.704814e+300
is what I got
The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.
To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.
The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.
Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.
Using the logarithmic expression:
log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)
The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:
log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)
Now, using the property of logarithms, log(aᵇ) = b × log(a):
log(1 x 10¹⁰⁰) = 0 + 100 × log(10)
The logarithm of 10 (log(10)) is equal to 1, so:
log(1 x 10¹⁰⁰) = 0 + 100 × 1
Finally:
log(1 x 10¹⁰⁰) = 100
Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.
learn more about logarithms here
brainly.com/question/34675209
#SPJ2
The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of the number using logarithm 1 x 10^100?
select all the factors of:
x^2+ 3x - 10
A) (x-5)
B) (x+2)
C) (x-2)
D) (x+5)
Answer:
c & d
Step-by-step explanation:
Factor x^2 + 3 x − 10 using the AC method
Solve the equation.
3(2w−7)=3
Answer:Simplifying
3(2w + -7) = 3
Reorder the terms:
3(-7 + 2w) = 3
(-7 * 3 + 2w * 3) = 3
(-21 + 6w) = 3
Solving
-21 + 6w = 3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 6w = 3 + 21
Combine like terms: -21 + 21 = 0
0 + 6w = 3 + 21
6w = 3 + 21
Combine like terms: 3 + 21 = 24
6w = 24
Divide each side by '6'.
w = 4
Simplifying
w = 4
Step-by-step explanation:
AnswerAnswerAnswerAnswerAnswerAnswerAnswer
:) ·g o o d l u c k ·
The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?
Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]
ii) He has to attend 5 practices to run 13 miles.
Step-by-step explanation:
Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.
[tex]d=2p+3[/tex]
i) To solve for p . first subtract 3 from both sides , we get
[tex]d-3=2p[/tex]
Divide both sides by 2
[tex]\dfrac{d-3}{2}=p[/tex]
So. [tex]p=\dfrac{d-3}{2}[/tex]
ii) Put d= 13 , we get
[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]
i.e. he has to attend 5 practices to run 13 miles.
Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?
9514 1404 393
Answer:
∠BAD < 90°∠BCD > 90°Step-by-step explanation:
Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.
∠BAD < 90°
__
Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.
∠BCD > 90°
Answer: I would say that it is equal to.
Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.
Which of the following would result in a rational number? **
Answer:
The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.
Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars?
Lot 1
Lot 2
Lot 3
Lot 4
LOT 4 its the answer
From the figure below, the coordinates for point z are:
HELP PLS
Answer:
(2a, 0)
Step-by-step explanation:
the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.
write the sum of 7√28x^6 + 4√7x^6
Answer: 21.97025026/250
Step-by-step explanation:
A flagpole is 15 feet tall. Its shadow is 20 feet long. How far is it from the top of the flagpole to the end of the shadow?
Answer:
5 feet.
Step-by-step explanation:
The angle of the height and length go down to 5 feet diagonally.
Answer:
25ft
Step-by-step explanation:
To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²
15² + 20² = x²
225 + 400 = x²
625 = x²
√625 = √x²
x = 25
Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?
Amount of tip she gave,
[tex]T = 15\times 0.20\\\\T =\$3[/tex]
Amount of tax given :
[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]
So, total amount she paid is :
Total = Actual cost + Tip + Tax
Total = $(15 + 3 + 1.35 )
Total = $19.35 .
Therefore, total amount she paid is $19.35 .
Hence, this is the required solution.
hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!
Answer: 11 x 10 = 110.
Step-by-step explanation: you can use a calculator for these types of problems
Answer:
One way is that you do across multiplication so if you did that for 10x11 that'll equal 110
Step-by-step explanation:
1/9(2m-16)=1/3(3m+4)
Answer:
m = -4
Step-by-step explanation:
[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]
[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]
[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]
[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]
[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]
[tex]2m - 9m = 12 + 16[/tex]
[tex] - 7m = 28[/tex]
[tex]m = \frac{28}{ - 7} [/tex]
[tex]m = - 4[/tex]
can someone please help me with this problem will give me brainliest.
Answer: as a decimal 274877906944
Step-by-step explanation:
what number must be added to the expression below to complete the square x^2+8x-5=15
Answer:
Add 16 to both sides.
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlgebra I
Completing the Square: b/2aStep-by-step explanation:
Step 1: Define expression
x² + 8x - 5 = 15
Step 2: Solve
Isolate x terms: x² + 8x = 20Complete the Square: (x² + 8x + 16) = 20 + 16Simplify: (x + 4)² = 36A boat was bought for $9500 and sold at a profit of 32%. What was the selling price ?
Please help me out with those questions...
Answer:
D
Step-by-step explanation:
which one is a function
Answer:
I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:
A) is not a function
Answer:
i get D, sorry if not i did it 3 times and i got D
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______
a 8
c 5.5
Answer:
Looks like you gave the answer already.
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38.00 --> x3 --> 6a + 12c = 144
3a + 3c = 40.50 --> x2 --> 6a + 6c = 81
6c = 33
c = 5.5
a = 8