The equation y-2/3=-2(x-1/4) is written in point-slope form. What is the equation in slope-intercept form?
Answer: [tex] y=-2x+\dfrac{7}{6}[/tex]
Step-by-step explanation:
The slope -intercept form of a line is given by :-
[tex]y=mx+c[/tex]
The given equation of a line :[tex]y-\dfrac{2}{3}=-2(x-\dfrac{1}{4})[/tex]
To convert it into slope-intercept form , we need to multiply -2 inside the brackets , we get
[tex]y-\dfrac{2}{3}=-2x-\dfrac{-2}{4})\\\\\Rightarrow y-\dfrac{2}{3}=-2x+\dfrac{1}{2}\\\\\Rightarrow y=-2x+\dfrac{1}{2}+\dfrac{2}{3}\\\\\Rightarrow\ y=-2x+\dfrac{7}{6}[/tex]
Hence, the equation in slope-intercept form : [tex] y=-2x+\dfrac{7}{6}[/tex]
Whats the answer with work shown
2h+15=3h-15
3,478 divided by 9
2,205 divided by 6
6,033 divided by 5
926 divided by 4
Answer:
Step-by-step explanation:
3,478/9= 386.4 repeating(line over the 4)
2,205/6=367.5
6,033/5=1,206.6
926/4=231.5
Hope this helps
line r is parallel to line t. find m<6. The diagram is not to scale
the school decided to raise the price lunches by $0.25. Seth buys the school lunch 5 days a week. Write a formula that will help seth determine how much he'll now spend on lunch every week.
p= old price of school lunch
t= total seth pays for lunch each week
Seth can calculate his weekly lunch expenses with the formula t = 5 x (p + $0.25), where p is the old price and t is the new weekly total.
The question involves creating a formula that Seth can use to determine how much he will spend on lunch every week after an increase in the price.
Let's define the following variables: p for the old price of school lunch and t for the total Seth pays for lunch each week.
If the school decided to raise the price of lunches by $0.25 and Seth buys the school lunch 5 days a week, the new price of each lunch will be p + $0.25.
Therefore, to calculate the total Seth will pay per week, we use the formula: t = 5 x (p + $0.25).
This formula accounts for the new price Seth will pay for lunch each day, multiplied by the 5 days he purchases lunch at school.
589=7 times 84 + n ?
(see attached photo)
The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement: Reasons:
1 AB is parallel to DC and AD is parallel to BC -Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 -If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD -Reflexive Property
4 triangles ADB and CBD are congruent -If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by ______?_?_?_______
5 AB = DC, AD = BC -Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate
The correct postulate for reason 4 in the proof chart is the ASA postulate.
To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.
The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).
Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).
Therefore, the correct choice is the ASA postulate.
If x = 0, then f(0) = . If f(x) = 0, then x =
Answer:
2.25 and the second one is -1
A King cobra has a mass of 8.845 kilograms. Round the mass to the nearest tenth kilogram
On a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?
A-(−1, 2) and (3, −3)
B- (−1, −2) and (3, 3)
C-(1, −2) and (−3, 3)
D-(1, 2) and (3, 3)
Plz help i don't get
Help and explain these plz
A 15-pound bag of wildflower seed covers 40 square feet .How many pounds of seed does it take to cover 1 square foot
a chair lift on the ski slope travels a total distance of 4640 ft to the top of a 2178 foot mountain find the angke of ski slope
Estimate the number 78% of 112
Product A costs her $26.50 She decides mark the product up 30% .How will Emerson charge for product A
Final answer:
To find the price Emerson will charge for product A with a 30% markup, add the markup to the original cost of $26.50. The final price will be $34.45.
Explanation:
To find the price at which Emerson will charge for product A, you need to add 30% markup to the original cost of $26.50.
To calculate this, first find 30% of $26.50. Multiply $26.50 by 0.30.
30% of $26.50 = $7.95
Next, add the markup to the original cost:
$26.50 + $7.95 = $34.45
Therefore, Emerson will charge $34.45 for product A.
2.Solve the following proportion. r/5=9/21 A. r=9 B. r=2.14 C. r=11.66 D. r=37.8
3.A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate how much sugar is needed to make 8 dozen cookies.
The value of r in relation r/5=9/21 is 2.14.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional
\to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
r/5=9/21
Now, cross multiplying
r x 21= 9 x 5
21r = 45
r= 45/21
r= 15/7
r= 2.14
Hence, the value of r is 2.14.
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Evaluate 2xy2xy when x=−14x=−14 and y=3y=3.
The staff at the arcola country club prepares tables for a wedding reception they are able to prepare 6 tables in 45 minutes how many tables can the staff prepare in 4 hours
20 points
please help
in return brainliest and special thanks
Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
C. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
D. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
From the word itself distribution, the distributive property of equality states that a number must be distributed to all the numbers inside the parenthesis. From the given choices, the only correct answer is:
C. −3 ⋅ (6.48)=(−3⋅6) + (−3⋅0.4) + (−3⋅0.08)
round 96.39 to the tenths place
Final answer:
To round 96.39 to the tenths place, we increase the tenths digit by one because the hundredths digit is 9, which is greater than 5. The rounded number is 96.4.
Explanation:
To round 96.39 to the tenths place, we look at the digit in the hundredths place (which is 9 in this case). According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, we round up the last digit that is kept. Since 9 is higher than 5, we will round up. The number 96.39 rounded to the tenths place is 96.4.
Six more than a number equals two times the sum of one-half the number plus three. Is this statement true for only one number, all numbers, or for no numbers
your answer would be all numbers
let me show you:
step 1) 6 more than 4 is 10
step 2) two times the sum of one-half the number plus three is 2*(2+3)
step 3) 2+3 is 5,and 5*2 is 10
step 4) compare the answers from steps 1 and 3,they are both 10
so your answer is ALL numbers
write an equation for the vertical line that contains point E(-7,7)
1. Select all irrational numbers.
Square root of 10
Square root of 27
Square root of 49
Sq. Rt 64
Sq. Rt 99
2. Select all irrational numbers.
14√
24√
34√
44√
54√
3. Select "Rational" or "Irrational" to classify each number.
0.25
Sq. Rt. 0.25
Sq. Rt. 0.33
Be 100% SURE
Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.
Explanation:
(1)
A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].
If a real number is multiplied by an irrational number then the result is an irrational number.
[tex]\sqrt{49}=7[/tex]
[tex]\sqrt{64}=8[/tex]
Since the result of these square roots are a rational number, therefore [tex]\sqrt{49}, \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.
(2)
[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]
[tex]\sqrt{24} =2\sqrt{6}[/tex]
[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]
[tex]\sqrt{44} =2\sqrt{11}[/tex]
[tex]\sqrt{54} =3\sqrt{6}[/tex]
All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.
(3)
[tex]0.25=\frac{1}{4}[/tex]
[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]
[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]
Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. For every 3 kiwis, there are 4... A) Bananas B) Oranges C) Apples
Based on the information given, for every 3 kiwis, there'll be 4 bananas.
Number of bananas = 8
Number of oranges = 3
Number of apples = 5
Number of kiwis = 6
Since the question was that there are 3 kiwis, therefore we have to divide the other fruits by 2 as well. In this case, the number of bananas will be:
= 8/2 = 4
Therefore, from the information depicted above, for every 3 kiwis, there'll be 4 bananas.
In conclusion, the correct option is A.
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The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?
A. H - 625
B.625 - h
C.h + 625
D.625 • h
Answer:
Hi!
The correct answer is A. h-625.
Step-by-step explanation:
If you have a dataset listed in ascending order:
[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]
[tex]median = a_\frac{n}{2}[/tex]
The value of the mean, if the dataset is even:
The value of that divides a data sample into two halves.The value of the mean, if the dataset is odd:
The average of the two middle values that divide a data sample into two halves.If we substract 625 to each value of the dataset:
[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]
[tex]median = a_\frac{n}{2} - 625[/tex]
The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
In mathematics, congruence of triangles is determined using rigid motions. If one can be made to coincide with the other through translation, rotation, and reflection, then the triangles are congruent.
Explanation:In mathematics, congruence of triangles is determined using rigid motions. Rigid motions include translation, rotation, and reflection. These motions maneuver a figure without altering its shape or size, hence the term 'rigid'.
To determine if two triangles are congruent by rigid motions, you could move one triangle using a combination of these rigid motions to check if it can overlap perfectly with the other triangle. For example, you may need to translate (or slide) the triangle a certain distance in a certain direction, rotate it around a point by a certain angle, and possibly reflect it across a line.
If you can make one triangle coincide with the other through these rigid motions, then the triangles are congruent. Otherwise, they are not congruent. This is basically the idea behind the congruence of triangles through rigid motions.
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at medina middle school 2% of the students ride bikes to school.if 950 students attend medina middle school,how many students ride a bike to school?
Solve. Which number is equivalent to the expression below?
│ 12 – 8 │
A. 4
B. -4
C. 20
D. -20
If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other?