-2/3 is the slope of equation of a line that is perpendicular to 2y = 3x - 1.
How do one find the slope of a graph?The slope is computed mathematically as "rise over run" (change in y divided by change in x).
In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.
We know that the equation of the line in its slope-intercept form is:
y = mx+b
Where m = slope
b = y - intercept
A line that is perpendicular to it is y = (-1/m) x + b
The slope of the perpendicular line is -1/m
Rewriting the given equation 2y = 3x - 1, we get:
y = (3/2) x - 1/2
So, the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1.
The slope of the line = -2/3
Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1 is -2/3.
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The complete question is as follows:
What is the equation of a line that is perpendicular to 2y = 3x - 1?
The volume of the sphere is about (blank) ft.
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
please help!!!!!!!!!!!!!!!!!!
Answer:
down below
Step-by-step explanation:
Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4
At Nivea's Newsstand, 6 magazines cost $18.00. How many magazines could you buy with $9.00?
Answer:
3 magazines
Step-by-step explanation:
We will use ratios for this equation:
[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]
The number magazines you can buy with $9.00 is 3.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, at Nivea's Newsstand, 6 magazines cost $18.00.
Cost of 1 magazine is 18/6
=$3
Number of magazine with $9 is 9/3
= 3
Therefore, the number magazines you can buy with $9.00 is 3.
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help me please i would be sooo thankful!
Answer:
Step-by-step explanation:
The number 345,672 rounded to the nearest ten thousand is
Answer:
350,000
Hope this helps !!!
Plz help I’ll give branliest plzzz
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
On cross multiplication, we get
[tex]3(x+1)=2(3x-3)[/tex]
[tex]3x+3=6x-6[/tex]
[tex]3x-6x=-3-6[/tex]
[tex]-3x=-9[/tex]
Divide both sides by -3.
[tex]x=3[/tex]
Therefore, the value of x is 3.
HELP PLEASE AND NO LINKS!!
Answer: 112
Step-by-step explanation:
educated guess
During seventh grade Athletics 34 of the 87 girls are in off season lifting weights what are the what percentage of the girls are not lifting weights?
Answer: 61% or exactly 60.9%
Step-by-step explanation:
if 34 are lifting weights then 53 (87-34) are not lifting weights and the percentage of 53/87 is 61%
find the inequality represented by the graph
Answer:
y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.
Step-by-step explanation:
find the length of the missing side pls help
Answer:
the first triangle is 10
the second triangle is 8
Step-by-step explanation:
1. the formula for this is a²+b²=c²
c is the missing side
add in the numbers and you get 8²+6²=c²
8² is 64 and 6² is 36. 64+36 = 100
then find the square root of 100, which is 10
2. the formula for this is c²-b²=a²
17² - 15² = a²
289-225 = 64
the square root of 64 is 8
Everyone at your school has to take one art class, so 115 students take glass blowing, 90 students take cave painting, and 15 students take both. The wisest 120 students take photography for an easy A. How many total students are at your school?
So
AUB=A+B-(A$\cap$ B)AUB=115+90-15AUB=100+90AUB=190Total students
190+120310(4 to the power of 2 )2
I need help Barbara measured a restaurant and made a scale drawing. In real life, a table in the restaurant is 6 feet long. It is 2 inches long in the drawing. What scale did Barbara use for the drawing?
Answer:
1 inch = 3 feet
Step-by-step explanation:
if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answer:
i can see the question in ascending order
Read the sentence.
The Great Barrier Reef attracts thousands of visitors.
Select the sentence that is expanded with a prepositional phrase.
Afterall, the Great Barrier Reef attracts thousands of visitors.
As many people know, the Great Barrier Reef attracts thousands of visitors.
During Australia's summer, the Great Barrier Reef attracts thousands of visitors.
For one main reason, the Great Barrier Reef attracts thousands of visitors
Answer:
The last one
Step-by-step explanation:
For is a prepostion. One way to identify prepostions is to use the squirriel trick. Think of a word and then use this sentence starter. The squirrel is ___ the tree. In this case, for fits with it. Another prepostion is in or of. I hope this helps.
Answer:
the answer is D
Step-by-step explanation:
For one main reason, the great Barrier reef attracts thousands of visitors
robert wants to buy a hat that is 25% off. if the original price is $35 and 6% sames tax, how much does he pay
Find a linear equation of the line with a slope 3 passing through the point
(-9,7).
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
Yes that is Correct.
Step-by-step explanation:
If all three pairs of corresponding sides are congruent, the triangles are congruent.
the sum of a number x and 5, all divided by 3
Answer:x+5/3
Step-by-step explanation:
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
What is 3x3x3x3x3x3x3x33x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x33x3x33x3x3x3x3x3x3x3x3x33x3x3x3333333x333x3x3x3x3x3x3x3x3
Answer:
calculadora es muy bonita hoy
Step-by-step explanation:
Answer:
440000079
Step-by-step explanation:
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answer:
hope this helps .keep on learning
!DUE TODAY, PLEASE HELP!
The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cube and need to know how many square units of paint to purchase. If each face has side length s, the the formula s=6s^2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below (s=x-5). The surface area of the cube is 1944 units^2.
What is the value of x? SHOW and EXPLAIN each step you used to solve.
Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
how do you simplify 4√6 times 5√2
Answer:
Your answer is 40√3.
A recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. How many cups of flour are needed for 10 loaves?
Answer:
20
Step-by-step explanation:
3.33*6= 19.98
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Answer:
The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.
Step-by-step explanation:
There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.
Solve for m
please help
Answer:
∠ ADE = 59°
Step-by-step explanation:
The angles in a rectangle are right angles, then
∠ ABC = 90° , that is
4x + 15 + 13x + 7 = 90
17x + 22 = 90 ( subtract 22 from both sides )
17x = 68 ( divide both sides by 17 )
x = 4
Then
∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°
Since the sides in a rectangle are parallel then
∠ ADE = ∠ CBE ( alternate angles )
∠ ADE = 59°
I need help on this homework
Answer:
the answer is 16
Step-by-step explanation:
How do you write in slope intercept with only the rate of change and one point. Like rate of change is -5 and the point is (3,0)
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
What's the area of this figure
Answer:
137.6 un^2
Step-by-step explanation:
A = b * h
A = 16 * 8.6
A = 137.6
Hope this helps :)
Answer:
Area = 137.6 units
Step-by-step explanation:
The equation for the area of a parallelogram is A = bh, where b = the base and h = the height. On this parallelogram, the base is 16 and the height is 8.6. Their product is 137.6.