Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of the given points into it. Then, simplify to find the slope, or [tex]m[/tex]:
[tex]m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1[/tex]
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula [tex]y-y_1=m(x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. From there, we can convert the equation into slope-intercept form.
Since [tex]m[/tex] represents the slope, substitute 1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
[tex]y-3=1(x-0)\\y-3 = x\\y = x + 3[/tex]
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
If the expression below has a positive value, which in the inequality represents all possible values of x in the expression? -3x. A. X< 0. B. X > 0 C. X ≤ 0. D. X ≥ 0
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]-3x > 0[/tex]
Required
Determine the inequality
[tex]-3x > 0[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3} > \frac{0}{-3}[/tex]
The inequality sign changes after the division because we're dividing be a negative number (-3).
So, we have:
[tex]x < 0[/tex]
Hence, the inequality is: [tex]x < 0[/tex]
The ratio of yellow sweets to purple sweets is 5:4.
Alice eats 3 purple sweets and the ratio is now 5:3.
Work out how many sweets there were at the beginning.
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
Jayden is buying an Ipod that has a price tag of $85. At the register, the cashier applies a 20% discount to the $85 price. How much will Jayden pay for the Ipod after the 20% discount?
Which property is used to write the equivalent expressions below? (2x7) x3=2x (7x3)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.
Answer:
9
Step-by-step explanation:9x5
is it a, b, c, or d?
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle
If x = 9 units, y = 3 units, and h = 7 units, find the area of the rhombus shown above using decomposition. A. 21 square units B. 13 square units C. 72 square units D. 63 square units
Answer:
63 square units
Step-by-step explanation:
Area of the rhombus = Base × Height
Given
Base = x = 9unit
Height = h = 7units
Substitute into the formula
Area of the rhombus = 9×7
Area = 63units²
Hence the required area of the rhombus is 63 square units
$862.00, 43% off
new price is $
Answer:
491.34
Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps
Answer:
$491.34
Step-by-step explanation:
Take $862 x .43 = 370.66
then you take 862.00 and subtact it by 370.66
then you get $491.34
Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.
Answer: 14.66 in
Step-by-step explanation:
Help me I give crown :--(((
Answer:
The answer is 170 meters
Step-by-step explanation:
hope it helps :)
Help me with this ASAP
Answer:
The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)Step-by-step explanation:
To find the slope you need to follow the formula shown below.
Slope (m) = ΔY/ΔX
Now solve
ΔY = 6 – 0 = 6
ΔX = 2 – 0 = 2
Write as a fraction
6/2
Convert to a number
6/2 = 3
And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.
messed up and didnt put the attachment on the last post
Answer :-
9(3+√3) feet
Step by step explanation :-
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
In ∆ABC ,
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
Again In ∆ ABC ,
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
aidez moi en math je donne le maximum des points!
Step-by-step explanation:
[tex]\large \mathcal{Answer}[/tex]
Answer:
Ils sont amicaux, regardez sur le site nosdevoirs
Step-by-step explanation:
Find the coordinated points which quadrasects the line segments joining the points A(-3,6) and B (4,-2)
Answer:
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Step-by-step explanation:
Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:
[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)
[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)
[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)
Where:
[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]
[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]
[tex]\overrightarrow{AB} = (7,-8)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are, respectively:
[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]
[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]
[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]
[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
The recommended daily intake of vitamin C for males 18 years and older is 90 milligrams. If an 18 year-old male has already consumed 36 milligrams of vitamin C, what percentage of the daily recommended amount has he already consumed?
Answer:
40%
Step-by-step explanation:
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.
a) $158.19
b) $111.99
c) $139.99
d) $126.55
Answer:
should be B
Step-by-step explanation:
however tax rate is different in different states sooo
How do you write 20% as a fraction?
Answer:
20% = 20/100 or 2/10 or 1/5
Step-by-step explanation:
Answer:
20% as a fraction can be 20/100 1/5 2/10
Step-by-step explanation:
Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.
Answer:
7+18=25 that's the answer
Dayonne went shopping at the mall
· He bought a new shirt for $45, a pair of pants for $60, and a pair of shoes for $80.
• He has a coupon for 20% off of his total purchase.
Sales tax is 7% where he lives.
What is the cost of Dayonne's shopping adventure with just the 20% off?
What is the total cost of Dayonne’s shopping adventure including the discount and sales tax?
Simplify, must end in positive exponent :)
Answer:
b^4
Step-by-step explanation:
have a good day
Step-by-step explanation:
[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]
Hope it will help :)
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
the ratio of distilled water to ammonia is 50/1 . How are the ratios in related to this ratio
Which graph best represente y 6x13
Answer:
B
Step-by-step explanation:
A science fair has 180 entries. There
are 72 entries from sixth grade
students.
Answer:
40%
Step-by-step explanation:
Total entries= 180
Entries from 6th grade= 72
Percentage = 72/ 180 x 100= 40%
Hope its right!!!
2 inches = 5 ft find the actual length...pls help Asap
Answer:
if the drawing length is 5 inches, the actual length in feet would be 12.5 ft
Step-by-step explanation:
2 inches = 5 ft
1 inch = 2.5 ft
5*2.5=12.5 ft as final answer.
hope it helps