The equation of the line that passes through (7, 10) and its perpendicular to the line y = (1/2)x - 9 is y = -2x + 24
The coordinates of the line passing through the point = (7, 10)
The equation of the perpendicular line
y = (1/2)x - 9
The slope of the line = 1/2
The slope of the original line = - 1 / (1/2)
= -1 × 2
= -2
The slope intercept form is
y = mx + b
Substitute the values in the equation and find the value of b
10 = -2(7) + b
10 = -14 + b
b = 10 + 14
b = 24
Substitute the value of b and m is the equation
y = -2x + 24
Therefore, the slope of the line is y = -2x + 24
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The ratio of accessible parking spots to general parking spots 2:75.
Answer:
Approximately 2.6% of the total number of parking spots are designated as accessible.
Step-by-step explanation:
If the ratio of accessible parking spots to general parking spots is 2:75, this means that for every 2 accessible parking spots, there are 75 general parking spots. This can also be written as a fraction: 2/(2+75) = 2/77.
The fraction represents the proportion of the total number of parking spots that are designated as accessible. In this case, 2/(2+75) = 2/77 = approximately 0.026, or 2.6%. This means that approximately 2.6% of the total number of parking spots are designated as accessible.
It's important to note that the number of accessible parking spots should be determined based on the needs of the community and should meet or exceed the minimum requirements set by law. In the United States, the Americans with Disabilities Act (ADA) sets minimum requirements for the number of accessible parking spaces that must be provided in public parking lots. The exact number of spaces required depends on the size and type of the parking lot.
M(5,7) is the midpoint of RS . The coordinates of S are (7,4) . What are the coordinates of R?
Answer:
3,4
Step-by-step explanation:
use section formula,as it divides in 1 :1
7+x/2 =5 so x is 3
m% of n is what percent of p?
can you send a picture of the question?
5x + 3y = 6
- 5x - 3y = -6
Elimination method step by step
Answer:
x = 0 and y = 2
Step-by-step explanation:
5x + 3y = 6
-5x - 3y = -6
Adding the equations gives 0 = 0, so the equations are equivalent.
x = 0 and y = 2
help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
The graph of x - y = 4 is D.
Step-by-step explanation:
substituting a random value for either x or y will give you a value for the other unknown
that's to say,if x is 2 ,then y will be -2
More pairs of coordinates then are got using the same method
these are plotted and a graph similar to the one in D is got.
Will give brainliest to the correct answer!:)
What is the value of the logarithm?
In(81)
Round the answer to the nearest ten thousandth.
Answer: log81 = 1/4
Step-by-step explanation:
Log81^3
81^x = 3
The common base is 3, so
(3^4)^x=3
3^4x = 3^1
4x = 1
x= 1/4
a salesperson receives a weekly salary of 600 , plus a 2.5% commission on sales. her total salary last week was 4720 . what were her sales that week?
With a total pay last week of $4720 and a 2.5% commission on sales, she made 275 in sales.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Here,
The money earned by sales=2.5%*600
=$15
Let the total sales be x,
600+15x=4720
15x=4720-600
15x=4120
x=274.67
x=275 sales
Her last week sales was 275 as her total salary last week was $4720 and she receives 2.5% commission on sales.
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Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for AJKL.
The orthocenter for AJKL is at point N. What is KN rounded to the nearest tenth?
The KN is 21.4 rounded to the nearest tenth.
What is an orthocenter?The orthocenter of a triangle is the place where the perpendicular drawn from the vertices to the opposing sides of the triangle intersect each other. The orthocenter for a triangle with an acute angle is located within the triangle. The orthocenter for a triangle with an acute angle is outside the triangle.
Now we need to find the slope of JL.
From that we have to find the slope of the perpendicular line through B.
Slope of JL= (y₂ - y₁) / (x₂ - x₁)
J (7, 8) and L (5, 2)
here x₁= 7,y₁ = 8, x₂ = 5 and y₂ = 2
= -6 / -2
= 3
Slope of the altitude KM = -1/ slope of JL = -1/3
Equation of the altitude KM : (y - y₁) = m (x -x₁)
Here K(1,2);
(y - 2) = -1/3 (x -1)
(y - 2) = -x/3 +1/3
Now we need to find the slope of JK.
From that we have to find the slope of the perpendicular line through D.
Slope of KL= (y₂ - y₁) / (x₂ - x₁)
J(7,8) and K(1,2)
here x₁= 7,y₁ = 8, x₂ = 1 and y₂ = 2
= 1
Slope of the altitude JO = -1/ slope of JL
= -1
Equation of the altitude JO : (y - y₁) = m (x -x₁):
(y - 8) = -1 (x - 7)
Solving the equation, x = 21 and y = -6
So the orthocenter N is (21 , -6)
Now the distance of KN is = √(21 - 1)² + (-6 -2)²
=√464
= 21.5
Therefore, the KN is 21.5 rounded to the nearest tenth.
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Answer:6.3
Step-by-step explanation:
I got it correct on my test
Will mark 5 stars and Thank
Answer:
? = 180
Step-by-step explanation:
14 pounds = _______ x (1 pound)
The pound as a unit of mass , 14 x (1ounce)= 14 ounce.
What are pounds?The British imperial and American customary systems of measurement both utilize the pound as a unit of mass. The international avoirdupois pound, which is legally defined as exactly 0.45359237 kilograms and is divided into 16 avoirdupois ounces, is the definition that is currently most frequently used.
The avoirdupois pound is represented by the worldwide standard symbol, lbm (for the majority of pound definitions), (mostly in the U.S.), and (particularly for the apothecaries' pound).
The currency came from the Roman libra (hence the abbreviation "lb"). The Dutch term pond, the Swedish word pund, and the German word pfund are all cognates of the English word pound.
Older and no longer in use, these units (replaced by the metric system).
Hence, 14 x (1ounce)= 14 ounce.
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I need help i guess?
The letters of the points that satisfy the inequalities are points A, D, E, I
How to solve an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
The given parameters are:
y<-[tex]\frac{1}{2}x +2[/tex] and
2x+y≤8
If we plot the graphs of the first inequality,
we notice that the coordinates of the origin are (0,0) then we have
Rearrange the inequality
[tex]y > -\frac{1}{2} x=2[/tex]
At origin y=0, x=0
[tex]0+\frac{1}{2}(0) > 2[/tex]
⇒ 0+0<2 (false)
Therefore the origin is not included
In the second inequality
2x+y≤8
Coordinates of the origin are (0,0)
2(0)+(0)≤8
0+0≤8 (False)
Therefore the origin is not included.
In conclusion the points that satisfy the inequalities are points A,D,E,I
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What is the slope of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-3,9)(−3,9)left parenthesis, minus, 3, comma, 9, right parenthesis?
The slope of the line passing through the points (-9, 6) and (-3, 9) is (1/2).
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
Given, A line passes through the points (-9, 6) and (-3, 9).
∴ Slope(m) of the line is = (9 - 6)/(- 3 + 9) = 3/6 = 1/2.
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A new comic book store has 7,200 comic books. If the owners put 90 comic books on each rack, how many racks will they need for all the comic books?
Answer: 80
Step-by-step explanation:
The owners will need 80 racks to hold all 7,200 comic books. (7,200 / 90 = 80)
A function has an initial value of 3 and a rate of change of 4. Which table matches the description of the function
Answer:
The top left table.
Step-by-step explanation:
An initial value is the y-intercept, which is where the function touches the y-axis. If the initial value is 3, the coordinate must be (0,3). This rules out the both tables on the right.
The rate of change is how much the function's y values increase or decrease. If the rate change is 4, the y values increase by 4 each unit, which matches the top left table.
What’s the value of x?
For the given similar triangle the value of x will be 9 inches.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Since the two triangles are similar,
Suppose the unknown side is x,
Since the ratio of the sides of the similar triangles is equal the obtained expression is,
8/6=12/x
x=12×6 / 8
x=9 inches
Thus, for the given similar triangle the value of x will be 9 inches.
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The outsise temperature dropped 20F from the time josefina ate breakfast until the time she ate dinner. When she ate dinner the temperature was 35F. Write and solve an equation to find the outside temperature t when josefina ate breakfast
The outside temperature t when Josefina ate breakfast was 55F.
What are equations?
An equation is a mathematical statement that shows that two mathematical expressions are equal.
According to the given question:
Let the temperature outside at the time of breakfast be t.
Temperature dropped by 20F by the time for dinner.
So the temperature at the time of breakfast was t - 20
Now, when she ate dinner the temperature was 35F
So the equation for outside temperature t when Josefina ate breakfast is
t - 20 = 35
Solving to get t that is temperature in the morning
t = 35 + 20
t = 55F
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-4/5x = -4 show work and answer pls and I'll give brainliest please hurry
new answer
m +4 13/
new answer
3/5=5/2x
classifying polynomials -8y
As the given polynomial -8y has only 1 term in is and hence it is classified as a monomial.
What are polynomials?A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
x² 4x + 7 is an illustration of a polynomial with a single indeterminate x.
The quantity of terms allows for the classification (naming) of polynomials.
A polynomial may contain exponents, constants, and variables, but it never divides by a variable.
They may also contain one or more terms, but not an infinite quantity.
The degree can also be used to categorize polynomials (the largest exponent of the variable).
An expression with only one term is called a monomial.
The sole term in an expression needs to be non-zero in order for it to be a monomial.
Therefore, as the given polynomial -8y has only 1 term in is and hence it is classified as a monomial.
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4.
La abuelita de Pedro quiere hacer tamales para esta navidad.
Ella sabe que para la fiesta de Lupita gastó $170 y pudo hacer 30
tamales de dulce y 20 de rajas. En la fiesta de José gastó $420 para
hacer 40 de dulce y 60 de carne y en otra ocasión con $230 le ajustó
para 20 de rajas y 30 de carne. ¿Cuánto dinero ocupa para hacer 40
tamales de cada uno?
Answer:
Step-by-step explanation:
o.67891
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $8.25. How much would Marco spend on
6 bags of cat food?
Marco would spend
on 6 bags of cat food.
→
***.
Answer:
16.5
Step-by-step explanation:
8.25+8.25=16.5
El punto A está en (-6,5) y el punto B. en (3,-7).
Entonces, la distancia entre los puntos A y B es de aproximadamente 15.
¿Cuál es la distancia entre los puntos?Generalmente, Para encontrar la distancia entre los puntos A y B, puedes utilizar la fórmula de la distancia euclidiana:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
En este caso, la distancia sería:
d = √((3 - (-6))² + (-7 - 5)²)
The square root of ((3 - (-6))² + (-7 - 5)²) is equal to:
=√((3 - (-6))² + (-7 - 5)²)
= √((9)² + (-7 - 5)²)
= √(81 + 144)
= √225
d ≈15
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Encontró la pregunta completa
El punto A está en (-6,5) y el punto B está en (3,-7). ¿Cuál es la distancia entre los puntos
Find each measure.
H
5. m/KML
a. 50
b. 90
c. 40
d. 60
Based on the definition of an equilateral triangle, the measure of angle KML is: d 60.
What are the Angle Measures of the Angles of an Equilateral Triangle?An equilateral triangle can be described as a triangle that has three sides that are equal and also equal interior angles that measures 60 degrees each.
The image shows that the three sides of triangle KML are marked equally by three strokes. This shows that the three sides of triangle KML are congruent to each other. Since they are congruent, they have equal length.
Therefore, triangle KML is an equilateral triangle that has interior angles that measures 60 degrees.
Angle KML is an interior angle of the equilateral triangle, therefore:
The measure of angle KML is: d. 60 degrees.
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A large university accepts 70% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?
For this we have to calculate 50% of 7,000 which is 3,500
What does a math percent mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
What is the formula for percentage?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
first we have to calculate 70% of 10,000 which is 7,000
Then now we have to calculate 50% of 7,000 which is 3,500
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can someone help with this thank you so much .
Answer:
15
Step-by-step explanation:
A. y = 11x
B. y = 55x
C. y equals one eleventh times x
D. y equals 1 over 55 times x
Answer:
A. [tex]y=11x[/tex]
Step-by-step explanation:
The graph is linear, meaning it follows the formula [tex]y=mx+b[/tex], where y and x are variables, m is the constant rate that the graph increases by, and b is the y-intercept. The graph is increasing at a rate of 55 calories burned per 5 minutes spent skateboarding, which simplifies to 11 calories per 1 minute, so m is 11. The graph's y-intercept is 0 because it runs through the origin, and there's no point in writing "11x + 0" so it's just "y = 11x"
Given the figure below, find the values of x and z.
(10x + 55)
N
O
(5x + 50)
HELP ASAP DUE TODAY!!
Answer:
C
Step-by-step explanation:
4x + 3y = 24
3y = -4x + 24
y = -3/4x + 8
May I please have brainliest? It will really help me get to the next level! Thank you!
Answer:
Y= -4/3x + 8
Step-by-step explanation:
4x + 3y = 24
-4x -4x
3y = -4x + 24
/3 /3 /3
Y = -4/3x + 8
Literal Equations
help asap !!
Answer:
y = 2/3x - 2
Step-by-step explanation:
To Literally Solve for y, we must first isolate it. This means putting it and its coefficient on the own side of the equation.
If you add, multiply, divide, subtract, put something to the power/root both sides of an equation, the final result will stay the same.
4x - 6y = 12
Subtract 4x on both sides.
4x - 4x -6y = 12 - 4x
Simplify.
-6y = 12 - 4x
Divide both sides by -6.
y = -2 + 2/3x
Adjusted the equation for clarity.
y = 2/3x - 2
Candice is trying to drink more water, so she has been keeping a log of how much water she drinks. Two days ago, Candice drank 32 ounces of water, in comparison to 16 ounces yesterday. What was the percent of decrease in Candice's daily water consumption?
Answer:
I think it's 0.5%
Step-by-step explanation:
16/32 x 100% = 0.5%
Find AEAE on the rhombus below when AD=4x+2AD=4x+2, DC=7x-13DC=7x−13 and BD=34BD=34.
The required length of AE will be 14 units on the given rhombus.
We know that all sides of a rhombus are equal, then note that AD equals DC, that is;
4x + 2 = 7x - 13
2 + 13 = 7x - 4x
15 = 3x
Divide both sides of the equation by 3
5 = x
If AD = 4x + 2, then when x = 5
AD = 4(5) + 2
AD = 20 + 2
AD = 22
So, triangle ADE may now be separated, with AD measuring 22 units and ED measuring 17 units (midpoint between points B and D). Line AE may be determined using Pythagoras' theorem, which states:
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the two other sides
Substituting for values as given in the question, we now have;
AD² = ED² + AE²
22² = 17² + AE²
484 = 289 + AE²
484 - 289 = AE²
195 = AE²
√195 = AE
13.96 = AE
So, length AE ≈ 14 units (to the nearest whole number)
Thus, the required length of AE will be 14 units on the given rhombus.
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