Answer:
hypotenuse
Step-by-step explanation:
When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.
When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.
Answer: The blank would be hypotenuse if I’m not mistaken!
What is the slope of the line shown below?
A. - 1/2
B. 1
C. -1
D. 1/2
Answer:
C. -1
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,7) and (3,5).
[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]
The slope is -1, and therefore, Option C should be the correct answer.
f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?
A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6
Answer:
B
Step-by-step explanation:
divide 405 in to the ratio 3:12
give answer in the form ... and ...
Answer:
81:324
Step-by-step explanation:
3+12=15
405 div 15 =27
3 times 27 = 81
12 times 27 = 324
81:324
What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7
Answer:
C
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus y = (x + 7)²
represents a shift to the left of 7 units → C
The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).
How to plot a graph?
In order to plot a graph, we have to substitute all the x's values into a function.
Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.
By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.
1. If a is positive then the graph will slide left of the units.
2. If a is negative then the graph will slide right of the units.
Given that, y = x² is need to replace with y = (x+7)²
Since 7 is positive so the graph will slide 7 units left.
For more information about the graph
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Would the midpoint (2,2) be correct?
Answer: YES, Its correct.
[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]
Answer:
(-2,2)
Step-by-step explanation:
The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.
Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2
Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2
So, the midpoint would be (-2,2)
Which expressions have a positive product? *
–(5)(–0.2)(–1.9)(9)
–(2.14)(1.6)(14)
(6.3)(–8.7)(0.7)
(8.5)(–0.4)(–2.7)
Answer:
The fourth choice is the correct one.
Step-by-step explanation:
If the count of negative signs is even, the product is even (positive).
This does not apply to the first choice; this expression is odd.
Same for the second choice.
Same for the third choice. The expression is odd.
The fourth choice is POSITIVE because there are an even number (2) of negative signs.
factorise m²-14m+49
Answer:
(m-7[tex])^{2}[/tex]
Step-by-step explanation:
The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie
Answer:
100.48
Step-by-step explanation:
Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 = 100.48.
Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min
Step-by-step explanation:
4h 20min = 13/3h = 260min
35min = 7/12h
3.75h = 15/4h = 225min
Total in min: 225+260+35=520min
Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h
Please help! Correct answer only!
In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56
Step-by-step explanation:
Consider the steps below;
[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]
Solution; " Expected Payoff " ⇒ $ 1.56
Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²
Answer:
1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]
Step-by-step explanation:
(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)
La notación científica presenta el siguiente formato:
[tex]x.y \times 10^{n}[/tex]
Donde:
[tex]x[/tex] - Un dígito entero.
[tex]y[/tex] - Dígitos decimales consecutivos.
[tex]n[/tex] - Grado de potencia.
Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:
1) [tex]12.756.000\,m[/tex]
El grado de la potencia es siete (7).
[tex]1.276 \times 10^{7}\,m[/tex]
2) [tex]510.072.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]5.101 \times 10^{8}\,km^{2}[/tex]
3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]
El grado de la potencia es veinticuatro (24).
[tex]5.974 \times 10^{24}\,kg[/tex]
4) [tex]7.722.522.000[/tex]
El grado de la potencia es nueve (9).
[tex]7.723\times 10^{9}[/tex]
5) [tex]1.350.000.000.000.000.000[/tex]
El grado de la potencia es dieciocho (18).
[tex]1.350 \times 10^{18}[/tex]
6) [tex]361.800.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]3.618\times 10^{8}\,km^{2}[/tex]
Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)
Answer: -8.5625
Step-by-step explanation:
Use the distributive property.... ex: 8(x+1)= 8x+1 (by multiplying both by 8)
8x+1-31x-124=14-7x
Combine like variables
-23x-123=14-7x
Bring like variables to the same side of the equation by changing the sign(+,-)
-16x=137
Divide -16 by both sides
x=-8.5625
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.
Answer: i) Both A and R are true and R is the correct explanation of the assertion
Step-by-step explanation:
When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.
A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.
Which ratios is equivalent to 12 over 2 ?
Answer: 12:2, 6:1, 24:4
Step-by-step explanation:
Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?
Answer:
Step-by-step explanation:
The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.
Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.
About graph behaves at the roots : Behavior of a polynomial function near a multiple root
The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.
The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
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why is 8.8 a rational number
Answer:
See below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10
Here are two similar rectangles. Work out the area of the larger rectangle
Answer:
take the picture please or give the measurements of the rectangles
Answer:
see attachment for measurements
Step-by-step explanation:
how do you multiply decimals like whats 6.8 times 1.6.
Answer:
10.88
Step-by-step explanation:
u do it like long multiplication just with decimals
6.8 times 1.6 = 10.88
Answer: 10.88
Step-by-step explanation:
6.8 x 1.6 = 10.88
you can multiply them without the decimals first then when you got the answer, you can count how many decimal places are there and place a decimal place where shoud be
Pleease helpthis is my final exam
I want the answer of second question
Answer:
7
Step-by-step explanation:
as it does that F thing where its equal to it....
Answer:
I wont answer for you, but ill guide you in the right direction
Step-by-step explanation:
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
the volume of a cube whose edge is 6cm long is
Answer:
216 cm^3
Step-by-step explanation:
Volume of a cube=s^3
6 cm^3=216 cm^3
John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62. What is the sum of the 2 numbers?
Step-by-step explanation:
From a, the original number is 100x the new number.
So,if the new number is 1unit --> the original is 100x 1unit --> 100units
Add the two numbers together --> 1unit + 100units --> 101 units
We also know that the difference between the two numbers is 136.62
So 100units - 1unit --> 136.62
99units -> 136.62
1unit --> 1.38
101units --> 139.38
Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases
Its c, as x increases y increases and then decreases
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.
Answer:
there is no slope :)
Step-by-step explanation:
give the other person brainliest bc theyre swag
Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?
Answer:
2V130 , 8V2
Step-by-step explanation:
If these are cahetus
x^2=14^2+18^2=196+324=520
x=V520=2V130
if 18 is not a cathetus then
18^2=x^2+14^2
x^2=18^2-14^2
x^2=324-196=128
x=V128
x=8V2
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found
What is the range of the numbers?
Answer:
5
Step-by-step explanation:
The range is the largest minus the smallest; 6-1= 5
Plss brainliest
First, subtract the minimum from the maximum to find the range
6 - 1 = 5
so your range is 5
What is the probability of rolling 2 sixes in a row with a single die?
Answer:
i think it might be 0.5 over 6
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
Because there are a total of 36 possibilities when rolling a dice twice (6x6) and out of that there is only one chance to get two sixes
Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams , of cheese. How much cheese did the recipe require?
Answer:
The recipe originally required 50 grams of cheese.
Step-by-step explanation:
1.6x=80
x=50
