help help help help help
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]
2) (3 , -4) ; m= 3
[tex]y - y_{1} = m(x - x_{1}[/tex])
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]
[tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
x
2
−x
1
y
2
−y
1
\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}
=
3−[−6]
−5−2
=
3+6
−5−2
=
9
−7
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
Since starting a new recycling plan, Aaron's office recycles 7 kilograms of paper each week,
How many weeks will it take Aaron's office to recycle a total of 28 kilograms of paper?
Answer: 4 weeks
Step-by-step explanation: 28 divided by 7 is 4.
Evaluate −4(14)6x for x=13. Enter your answer as a fraction in simplest form in the box.
Kevin wants to buy a new pair of jeans if the jeans were originally $40 but are on sale with 25% discount
how much will Kevin have to pay for the jeans?
Answer: Kevin will have to pay $30 for the jeans.
Answer:
He will have to pay 30$
Step-by-step explanation:
simplify the expression -2(t + 7)
Answer:
-2t-14
Step-by-step explanation:
Answer:
-2t - 14
Step-by-step explanation:
-2(t + 7)
distribute
(-2 * t) + (-2 * 7)
-2t + -2 * 7
-2t - 14
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
PLEASE ANSWER ASASP AND GIVE BRAINLEST!!!!!!!!!!!!!
The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much I will give brainliest
Answer:
80˚
Step-by-step explanation:
Since the angles are equal, we can make this equation:
2x + 65 = 8x + 5
60 = 6x
x = 10
so if we put x = 10 in 8x + 5 we get
8x + 5
8(10) + 5
80 + 5
85
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answer:
x = - 6 y = 13
Step-by-step explanation:
we know when the diagonals bisect it divides into two equal parts so
-4x - 2 = -3x + 4
-4x + 3x = 4 + 2
- x = 6
x = - 6
Now
2y + 8 = 3y - 5
3y - 2y = 8 + 5
y = 13
Hope it will help :)❤
Angle DEB is 71. What size is ABD
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
To learn more about angles :
https://brainly.com/question/19802083
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plz answer my question
ABCDE~GHJDF Complete statement
Answer:
FE
Step-by-step explanation:
i hope you help this answer
For the two similar figures, the expression can be written as:
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
What is the similarity?In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.
For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.
The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:
ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
To know more about similarity follow
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1) Diego drank x ounces of juice. Lin drank 1/4 less than that
2) Lin ran x miles. Diego ran 3/4 more than that
3) Diego bought x pounds of almonds Lin bought 1/4 of that
(Drag and drop plz help)
Answer:
Follows are the solution to this question.
Step-by-step explanation:
Please find the solution file for the question in the attachment.
in the problem find m<1
Answer:
m∠1 = 124°
Step-by-step explanation:
If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°. Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.
1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)
Answer:
Force = mass * acceleration
Acceleration = force/mass
As force increases, acceleration increases.
As mass increases acceleration decreases
Step-by-step explanation:
4. If f(x) = 3x + 2, find f(4)?
Answer:
3(4)+2= 14
Step-by-step explanation:
Answer:14
Step-by-step explanation:
You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2
What is the expression of 82 and 95
Answer: 88.5
Step-by-step explanation:
Step 1: Address the formula, input parameters & values.
Input parameters & values:
The given numbers are 82 & 95
Step 2: Find the sum of the given two numbers.
sum = 82 + 95 = 177
Step 3: Divide the sum by 2 to get the average.
average = 177/2
= 88.5
True or False: The rate at which men and women preferred SUV's are exactly the same.
True
False
Answer:
False
Step-by-step explanation:
The male's want sports cars more and the female's want SUV's more.
The perimeter of a polygon is 96 ft.
Write and solve an equation to find “m”.
Answer:
m = 12
Step-by-step explanation:
Total perimeter = 3m + 3m + m + m = 96
so, 8m = 96
then m = 12
Can the sides of a triangle have lengths 1, 5, and 5?
Yes or no?
Answer:
Yes it can have the lengths 1, 5 and 5
Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. Which equations can be used to model his purchase? Select each correct equation. *
Answer:
[tex]B = \frac{1}{2}A[/tex]
[tex]A = 2B[/tex]
Step-by-step explanation:
Given
Represent apple with A and Banana with B
Required
Determine the relationship between A and B
From the question, we understand that:
B costs half as much as A
This can be represented as:
[tex]B = \frac{1}{2} * A[/tex]
[tex]B = \frac{1}{2}A[/tex]
Multiply both sides by 2
[tex]2*B = \frac{1}{2}A*2[/tex]
[tex]2B = A[/tex]
[tex]A = 2B[/tex]
(x-2)(x+8)=0 Solve for x
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
HELO URGENT WILL GIVE BRAINLIEST IF CORRECT
Plsss help ASAP the semester is about to end and I have to finish so many assignments
Answer:
f(15,055) is the number of pages in a book with 15,055 words.
Step-by-step explanation:
f(w) = length of book (in pages).
w = number of words
Thus, from the options given, the only true statement about the function is that:
f(15,055) = number of pages of a book that has 15,055 words.
"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x
Answer: 1/3x + 1/6
Step-by-step explanation:
The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:
= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3
= 1/3x + 3/4 - 1/4 - 1/3
= 1/3x + 1/2 - 1/3
= 1/3x + 3/6 - 2/6
= 1/3x + 1/6
Answer:
1/3x + 2/4
Step-by-step explanation:
(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
91 points need help now . Emanuel put 12 marbles on one pan
of a scale. On the other pan, he put
4 marbles, then he added 8 more
marbles to that side. Each of the-
marbles weighs 1 ound. Is the scale
balanced? Explain.
Answer: I believe the scale is balanced.
Step-by-step explanation: I stated that because since the other side of the scale contained 12 marbles that were 1 pound each that would be 12 pounds and then since 4+8=12 12 pounds of marbles were also put on the other side.