Answer:
The equation of the line is,
[tex]y = - \frac{2}{5} x - 1[/tex]
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
[tex]2x + 5y = 15[/tex]
[tex]5y = 15 - 2x[/tex]
[tex]y = 3 - \frac{2}{5} x[/tex]
[tex]y = - \frac{2}{3} x + 5[/tex]
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
[tex]y = - \frac{ 2}{5}x + b [/tex]
[tex]let \: x = - 10,y = 3[/tex]
[tex]3 = - \frac{2}{5} ( - 10) + b[/tex]
[tex]3 = 4 + b[/tex]
[tex]3 - 4 = b[/tex]
[tex]b = - 1[/tex]
Answer:
the equation of a parallel line is : y=-2/5 x -1
Step-by-step explanation:
2x+5y=15
put the equation in the form of y=mx+b
2x+5y=15
5y=15-2x
y=15/5-2/5 x
y=-2/5 x+3
parallel lines has the same slope : m=-2/5
passes through point (-10,3) find b
y=-2/5 x +b
3=-2/5(-10)+b
3=20/5 +b
3=4+b
b=3-4
b=-1
the equation of a parallel line is : y=-2/5 x -1
The beast, a roller coaster in Cincinnati, Ohio, is 1.4 miles long. How far would you travel in 5 rides?
Answer:
7 miles
Step-by-step explanation:
So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.
HELP! i’m confused! question is in the picture
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
[tex]2x+7\leq x+4\leq 3x+16[/tex]
Let's solve for each of the inequalities:
1)
We have:
[tex]2x+7\leq x+4[/tex]
Subtract x from both sides:
[tex]x+7\leq 4[/tex]
Subtract 7 from both sides:
[tex]x\leq -3[/tex]
So that's one of our answers.
2)
We have:
[tex]x+4\leq 3x+16[/tex]
Subtract 3x from both sides:
[tex]-2x+4\leq 16[/tex]
Subtract 4 from both sides:
[tex]-2x\leq 12[/tex]
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
[tex]x\geq -6[/tex]
Therefore, our entire answer is:
[tex]-6\leq x\leq -3[/tex]
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
[tex][-6,-3][/tex]
So, A is -6.
And B is -3.
And we're done :)
Money is borrowed at 8% simple interest. After one year, 999.00$ pays off the loan. How much was originally borrowed?
Answer:
PV= $925
Step-by-step explanation:
Giving the following information:
Money is borrowed at 8% simple interest. After one year, $999 pays off the loan.
To calculate the original value of the loan, we need to use the following formula:
PV= FV/(1+i*n)
PV= 999/(1+0.08*1)
PV= $925
A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm? What is the length of the wood?
10,000 cm
2 cm
515 cm
50 cm
Answer:
The length of a piece of wood is 2 cm.
Given:
volume = 100 cm³
width = 5 cm
height = 10 cm
length = ?
Volume is computed by multiplying the length, width, and height of an object.
Volume = length * width * height
100 cm³ = length * 5 cm * 10 cm
100 cm³ = length * 50 cm²
100 cm³ / 50 cm² = length
2 cm = length
to check:
100 cm³ = 2 cm * 5 cm * 10 cm
100 cm³ = 10 cm² * 10 cm
100 cm³ = 100 cm³
Answer:
2 cm
Step-by-step explanation:
write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height
Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2
Answer:
-2+3
Step-by-step explanation:
Why should we care about gender inequality? HELP HELP HELLLPPP!!!
Answer:
Because we're not awful human beings, its not fair for men to be better than women
Step-by-step explanation:
Evaluate –9 – 13 + 2 + 13.
What is an integer?
Answer:
A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)
Step-by-step explanation:
it's basically a just any number but can't be a decimal or fraction
Answer:
A set of whole numbers and their opposites.
Step-by-step explanation:
...... -4 -3 -2 - 1 0 1 2 3 4......
Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9
Answer:
Step-by-step explanation:
subtraction
Answer:
distributive property
Step-by-step explanation:
3c+ 9 + 4c = 3c + 4c + 9 A: distributive property
The two parallelograms in the graph below are similar. Which sequence of transformations proves that the parallelograms are similar? A rotation 270° clockwise about the origin followed by a dilation with scale factor 5 A rotation 270° clockwise about the origin followed by a dilation with scale factor A rotation 90° clockwise about the origin followed by a dilation with scale factor A rotation 180° clockwise about the origin followed by a dilation with scale factor 5
Answer:
A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A
Step-by-step explanation:
The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C
what is 8/2 is it a interger ,rational ,irrational or whole number
Answer:
[tex]\frac{8}{2}[/tex] is a rational number
Step-by-step explanation:
what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?
What term best describes the intersection of the strokes drawn when writing the letter T? point plane line
Answer:
Point just took the test and this is the answer.
Step-by-step explanation:
What is the area of the triangle?
Answer:
9 units²
Step-by-step explanation:
Area of triangle= ½ × base × height
The base here is 3 units and the height is 6 units.
Area of traingle
= ½(3)(6)
= 9 units²
Can anybody answer this for range?
Answer:
The answer is (2, 4)
Step-by-step explanation:
I hope this helps!
how do you solve these 2 task cards?
Answer:
DECIMAL TASK #30
$81.15
Step-by-step explanation:
12.95 x 2 = 25.9
or
12.95 + 12.95 = 25.9
and then
9.75 x 3 = 29.25
or
9.75 + 9.75 + 9.75 = 29.25
and then
the 26 from the popcorn and drinks
25.9 + 29.25 + 26 = 81.15
1may u please tell me the answer
What is the value of y in the equation 4y – 2(1 – y) = –44?
–23
–15
–14
–7
Answer:
-7
Step-by-step explanation:
The value of y will be -7
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :
[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]
Therefore, the value of y is -7
Read more about property of multiplication here :
https://brainly.com/question/14391436
#SPJ2
Find the distance between these points. round to the nearest hundreth. Points:(-8,-2) and (6,-1)
distance formula
sq root of (x2−x1)^2+(y2−y1)^2
sq root of (6−(−8))^2+((−1)−(−2))^2
simplify, its easier than it looks
sq root of 197
14.03566884
round to nearest hundreth
14.04
if the sales tax rate is 7.375% in new york state then how much sales tax would you pay for a $9,500 used car
I'm not really good at this
9500 x 7.375/100 = $700.625
Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = StartRoot x minus 331 EndRoot . Which statement describes whether Chivonne is correct? The expression for f–1(x) is correct, but the domain restriction is not. The domain restriction is correct, but the expression for f–1(x) is not. Both the expression for f–1(x) and the domain restriction are correct. Neither the domain restriction nor the expression for f–1(x) is correct.
Answer:
The correct option is;
The domain restriction is correct but the expression for f⁻¹(x) is not
Step-by-step explanation:
The expression for the function is given as follows;
f(x) = x² - 331
The inverse function suggested = f⁻¹(x) = √(x-331)
The domain restriction is x ≥ 0
The inverse function if given as follows;
y = x² - 331 (Interchange x and y to get)
x = y² - 331
x + 331 = y²
y = ±√(x + 331)
Given that the domain restriction has been put as x ≥ 0, we select the + case to give;
f⁻¹(x) = √(x + 331)
Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.
Answer: B
The domain restriction is correct, but the expression for f–1(x) is not.
Step-by-step explanation:
A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP
Answer:
11
Step-by-step explanation:
If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.
44 pounds is equivalent to
ao
kilograms.
Answer:
19 kilograms
Step-by-step explanation:
because it is
Find the distance between the points C(−6, 5)
and D(−3, 1)
.
Answer: Distance = 5
Find the product.
(4x - 3y) (2x + y)
Answer:
8x^2 - 2xy + 3y^2
Step-by-step explanation:
Use the FOIL method
8x^2 + 4xy - 6xy + 3y^2
8x^2 - 2xy + 3y^2
The cost of a ticket to a soccer game is $6. There are y people in a group who want to go to the game.
Which of the following expressions describes the total amount of money the group will need to go to the soccer game?
6−y
6y
y + 6
(6)(6)
Answer:
6y
Step-by-step explanation:
uhhhh
CAN SOMEONE PLS HELP ME ON THIS ONE.....
Answer:
Years 3-4 and the percentage change was by 8%. Please vote Brainliest!
Step-by-step explanation:
Answer:
C the greatest growth was between 3 and 4 and about 8%
Step-by-step explanation:
Given h(x) = 5x + 1, find h(2) HELP PLEASE
Answer:
11
Step-by-step explanation:
[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]
Hope this helps.
what is the value of m?
Answer:
4) M=5
Step-by-step explanation:
When multiplying exponents, you add them. When raising an exponent to another power, you multiply them.
(x^5*x²)³=(x^7)³=x^21
If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)
Answer:
The area of the rectangle is increased in 76 percent.
Step-by-step explanation:
The area of a rectangle ([tex]A[/tex]) is represented by the following formula:
[tex]A = w\cdot l[/tex]
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])
[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]
[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]
[tex]A = 1.76\cdot A_{o}[/tex]
The area of the rectangle is increased in 76 percent.