Answers
Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ = [tex]\sqrt{(-2-(-8))^2+(4-(-8))^2}[/tex]
= [tex]\sqrt{(-2+8)^2+(4+8)^2}[/tex]
= [tex]\sqrt{6^2+12^2}[/tex]
= [tex]\sqrt{36+144}[/tex]
= [tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] → A
Related Questions
Find the price of each product after a discount and tax is applied. Phone
charger: $16.55 Discount Rate: 30% Tax Rate: 6%
Answers
Answer:
discount rate: 11.585. tax rate: 15.557 can I get brainleist
-2(7a+9b)=[ ] a + [ ] b
Answers
Hey there!
-2(7a + 9b)
DISTRIBUTE -2 WITHIN the PARENTHESES
= -2(7a) - 2(9b)
= -14a - 18b
Therefore, your answer is: -14a - 18b
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1/10p=p-279
1/2p =p-155
Answers
Question 1: Given [tex]1/10p=p-279[/tex] find [tex]p[/tex]
Answer:
[tex]p=310[/tex]
Step-by-step explanation:
1. Subtract [tex]p-279[/tex] from both sides: [tex]279-\frac{9p}{10}=0[/tex]
2. Subtract [tex]279[/tex] from both sides: [tex]\frac{9p}{10}=-279[/tex]
3. Multiply both sides by reciprocal [tex]\frac{10}{9}[/tex]: [tex]p=310[/tex]
Question 2: Given [tex]1/2p=p-155[/tex] find [tex]p[/tex]
Answer:
[tex]p=310[/tex]
Step-by-step explanation:
1. Subtract [tex]p-155[/tex] from both sides: [tex]155-\frac{p}{2}=0[/tex]
2. Subtract [tex]155[/tex] from both sides: [tex]-\frac{p}{2}=-155[/tex]
3. Multiply both sides by reciprocal [tex]\frac{2}{1}[/tex]: [tex]-p=-310[/tex]
4. Multiply both sides by [tex]-1[/tex]: [tex]p = 310[/tex]
-1 over 8 in decimal form
Answers
Answer:
0.125 is the answer of 1/8
Hey there!
“ -1 over 8”
= -1/8
= -1 ÷ 8
= -0.125
Therefore, your answer is: -0.125
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Guide:
2 negatives = positive
1 negative & 1 positive = negative
2 positives = positive
1 positive & 1 negative = negative
A dilation has a center (0,0). Find the image of point B (7/5,-5,4) for the scale factor 1/6
Answers
Answer:
Multiply the coordinate by the scale factor, 1/5 to get (7/25,-5/20). You can simplify this to (7/25, -1/4)
Mary and Aperna worked together to mow a neighbour’s lawn. They were paid $25.50. To split the money equally, Mary wants to divide by 2. Aperna disagrees and says that they need to multiply. By how much do they need to multiply? Explain.
Answers
Answer:
none just divide and get 12.57
Use deductive reasoning to select a valid conclusion. If a quadrilateral is a rhombus, then it is also a parallelogram. Quadrilateral ABCD is a rhombus.A. Quadrilateral WXYZ is a rhombusB. No valid conclusionC. Quadrilateral ABCD is a parallelogramD. Every quadrilateral is a rhombus
Answers
Answer:
No valid conclusion
Step-by-step explanation:
- All rhombuses are parallelograms
- Not all parallelograms are rhombuses because a rhombus has four equal-length sides and a parallelogram has equal opposite sides.
- all squares are rhombuses but not all rhombuses are squares because a square has 4 right angles (90 degrees) and a rhombus has equal opposite angles
how do i solve each of these
Answers
Answer:
can you attatch a clearer image than that and tell me when you do
Step-by-step explanation:
HELP ME PLS!!!
If a number is a whole number, then it is an integer.
3 is a whole number
Therefore, 3 is an integer
A. This conclusion was drawn using the law of detachment
B. This conclusion was drawn using the law of syllogism
C. This conclusion was drawn using the law of contrapositive
D. An invalid conclusion was made
Answers
Answer:
A. This conclusion was drawn using the law of detachment
Step-by-step explanation:
Definition:
Law of Detachment
If p equals q and p is also true. Then q is true.
if a number is a whole number, then it is an integer.
3 is a whole number (true statement) , so it 3 is an integer. (must be true)
A company owns two dealerships. The first dealership sells a total of 138 vehicles (cars and trucks). The second dealership sells half as many cars and five times as many trucks as the first dealership, and sells a total of 213 vehicles (cars and trucks).
How many cars do the two dealerships sell in total?
Answers
How many ways can the letters in the word ASK be arranged?
Answers
Answer:
6 ways
Step-by-step explanation:
ASK
AKS
SKA
SAK
KAS
KSA
Last one, thank you so much everyone who's helping <3
Answers
Answer:
the answer is 103!
Step-by-step explanation:
Hope this helps :)
180°-77°=103 so your answer would be 103
3(x+1)-6=5x - 2(1+x)
Answers
Answer:
-3 = -2
Step-by-step explanation:
3 (x + 1) - 6 = 5x - 2 (1 + x)
3x + 3 - 6 = 5x - 2 - 2x
3x - 3 = 5x - 2 - 2x
3x - 3 = 3x - 2
= -3 = -2
A. What is the rate of change of this graph?
B. What does the rate of change represent?
Answers
Answer:
A. The rate of change of this graph is 3
B. The rate of change represent 3 Souvenirs are purchased in one day of vacation.
Step-by-step explanation:
A. By looking at the graph the x axis is changing by 1, and the y axis is chaning by 3 so the rate of change is 3.
B. The rate of change is 3 means 3souvenirs are purchases in 1 day of vacation.
Ashley correctly compares the values of the digits in 644.66. Select the comparison Ashley could have made.
The value of the hundredths digit is 10 times the value of the tenths digit.
O The value of the ones digit is
1
100
the value of the tens digit.
The value of the tens digit is 10 times the value of the ones digit.
The value of the hundreds digit is 100 times the value of the hundredths digit
Answers
the 4 in the tens place is ten times the value of the 4 in the ones place
Answer:
The value of the hundreds digit is 100 times the value of the hundredths digit
Step-by-step explanation:
What is the product?
2а- ?
За2
2a2 - 11a+ 14
a
3
а-2
за
а-2
За
a+2
3
a+2
Answers
The product of the Expression is 3/ (a-2).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have,
(2a - 7)/ a x (3a²)/ (2a² -11a + 14)
Now, simplifying the expression as
(2a - 7)/ a x (3a²)/ (2a² -11a + 14)
= (2a - 7)/ a x (3a²)/ (2a² -7a - 4a + 14)
= (2a - 7)/ a x (3a²)/ a (2a -7) -2 (2a- 7)
= (2a - 7)/ a x (3a²)/ (a- 2)(2a-7)
= 3a² / a(a-2)
= 3/ (a-2)
Thus, the product is 3/ (a-2).
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ7
Solve for h.
-49 = 7h
h =
Answers
Answer:
h = -7
Step-by-step explanation:
Given:
-49 = 7h
Divde both sides by 7:
-7 = h
Check:
-49 = 7h
-49 = 7(-7)
-49 = -49 ✅
Bài 2: Tìm x biết
a, (x + 2)(x + 3) - (x - 2)(x + 5) = 6
b, 3(2x - 1)(3x - 1) - (2x - 3)(9x - 1) = 0
Answers
Answer:
76
Step-by-step explanation:
Given x || y and mZ1 = 42° .
What is m26?
Enter your answer in the box.
Answers
Answer:
42
Step-by-step explanation:
since x is parallel to y m 26 remains constant
Write and solve the inequality. In Mine craft your current diamond count is 30. If you get 15 diamonds per day how many days will it take for you to get no less than 1,200? PLEASE SHOW WORK
Answers
Answer:Explanation is in a file
Step-by-step explanation:cuft.ly/4RqtIvk
4(a+x)-b=16 solve for the variable x (pls help me)
Answers
Answer:
x = [tex]\frac{16+b-4a}{4}[/tex]
Step-by-step explanation:
4(a + x) - b = 16 ( add b to both sides )
4(a + x) = 16 + b ← distribute parenthesis on left side
4a + 4x = 16 + b ( subtract 4a from both sides )
4x = 16 + b - 4a ( divide both sides by 4 )
x = [tex]\frac{16+b-4a}{4}[/tex]
Consider the diagram below. The large rectangle represents a piece of construction paper. The small rectangle represents a piece of the construction paper that has been cut out. The area of the large rectangle is 100 cm2. The area of the small rectangle is 25 cm2. What is the area of the construction paper that remains?
Answers
Answer:
75 cm^2.........
............
I need help with this please
Answers
Answer:
the answer is 46.278
Step-by-step explanation:
the formula to find perimeter is πR + d
3.142 × 9 = 28.278 (that's pi times your radius)
28.278 + 18 = 46.278 (add your diameter to the previous problem to get the perimeter)
What did you learn, observe and discover in this pr
Answers
This doesn’t make since
Raina buys candy that costs $5 per pound. She will buy more than 11 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Raina will spend on candy.
Answers
c represents what she shall spend
c < (11)($5)
what is the equation
Answers
[tex]y = {(x - 3)}^{3} [/tex]
Step-by-step explanation:
The graph is indeed cubic and because y is 0 at 3 that means the graph is shifted to the right 3 units, so to write that as an equation we put -3 in the parentheses with the x. Also because it's a cubic graph the domain and range is infinite. If you read the statement above the chart it says a continuous graph. the chart is there to help identify the type of graph not to identify the domain and range
Linda's bedroom door is 9 feet tall and 4 feet wide. A new door would cost $4.89 per square foot. How much would a new bedroom door cost in total.
Answers
Answer:
I'm not sure, but I think it's $176.4
Step-by-step explanation:
9x4= 36
36= Square foot
36 x 4.89= 176.4
Answer:
36
Step-by-step explanation:
Trong cơn bão số 9 vừa qua. Một cột điện cao 9m bị gió bão làm gãy ngang thân, ngọn của cột điện chạm đất cách gốc 3m. Hỏi điểm gãy cách gốc bao nhiêu mét?
Answers
AB=9m and BC=3m
Using Pythagoras theorem, In ΔABC
(AC)² +(AB)² +(BC)²
⇒(AC)² =(9)² + (5)²
⇒(AC)² =81 + 25
⇒(AC)² =106
⇒AC=10.3m
=AC+CB=10.3+3=13.3m
please help me with this. i have trouble finding the slopes in these problems.
Answers
Answer:
Slope = rise over run
So you start where the line hits the corner which is at (4,1) and until it hits a corner again which is at (7,5)
Step-by-step explanation:
The slope is 4/3
We can use points (4, 1) and (7, 5) and plug these values into the slope formula.
Let (x1, y1) = (4, 1)
(x2, y2) = (7, 5)
Use the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(7 - 4)
m = 4/3
Therefore, the slope of the line is 4/3.
Please mark my answers as the Brainliest if you find this helpful :)
40% of students took a lunch home. if 220 students took a lunch, how many students are in the school
Answers
uhm, i think it would be 550 but im not entirely sure.
Answer:
550
Step-by-step explanation:
220 = 40%
5.5 = 1%
5.5 x 100 = 1% x 100
550 = 100%