The line segment BC has a length of 13 units.
What is the length of a line segment?
In this question we know the locations of the two ends of a line segment. The procedure consists in calculating the vector behind the line segment and later determing its magnitude by Pythagorean theorem. If we know that B(x, y) = (8, - 7) and C(x, y) = (- 4, - 2), then the length of the line segment BC is:
BC = (- 4, - 2) - (8, - 7)
BC = (- 12, 5)
BC = √[(- 12)² + 5²]
BC = 13
The line segment BC has a length of 13 units.
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Determine the domain of the following graph
Answer:
5555555555555555555555555555
Which equation describes the line with slope -2/3 that crosses the y-axis at the point (0, 4) ?
Answer:
In slope-intercept form:
[tex]y = - \frac{2}{3} x + 4[/tex]
how to find prime factorization.
find the prime factorization of 1530
Answer:
Factors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
Prime Factors of 1530 : 2 * 3 * 3 * 5 * 17
Describe the meaning of a reflection. Select the two correct answers. A reflection can be done on a point, shape, or object. b A reflection is a perpendicular turn around a point. A reflection can change the measures of the angles of a figure. c A reflection flips a shape across a line. d A reflection changes the length of line segments.
Answer:
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
Step-by-step explanation:
calculate the value of the expressions а) 12^9\2^15•3^7 б) ((5^8/7) ^7/4-(2^-2) ^-3/32) •(46) ^-1
Answer:
Step-by-step explanation:
0
PLS HELP
4.8kg=_______mg
3.2kg=_______dg
mg=milligarm
dg=decigram
Answer: 4,800,000 mg
32,000 dg
Step-by-step explanation:
1 kg=1000 g
1 g=1000 mg
1 kg * 1000 g/1 kg * 1000 mg/1 g=
1*1000*1000=1,000,000 mg
1 kg=1,000,000 mg
4.8 kg=
4.8*1000000=4,800,000 mg
1 g=10 dg
3.2 kg =
3.2 kg * 1000 g/1 kg * 10 dg/1 g=
3.2*1000*10=
3.2*10,000=32,000 dg
The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x^2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g
The rule for the function g(x) is:
g(x) = 1.15*(x^2 - 3x -16)
How to write a rule for the function g?
First we know that the function f(x) is f(x) = x^2 - 7x
And we know that h(x) is a translation of 6 units down and 2 units to the left of f(x), then:
h(x) = f(x + 2) - 6
Now we know that g(x) is 115% of h(x), then we can write:
g(x) = 1.15*h(x)
Replacing h(x) by the rule above we get:
g(x) = 1.15*(f(x + 2) - 6)
Replacing the actual function there:
g(x) = 1.15*( (x + 2)^2 - 7*(x + 2) - 6)
g(x) = 1.15*( x^2 + 4x + 4 - 7x - 14 - 6)
g(x) = 1.15*(x^2 - 3x -16)
This is the rule for function g(x).
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washer and a dryer cost $618 combined. the washer costs $82 less than the dryer. what is the cost of the dryer?
Answer:
$227 = washing machine cost
$391 = dryer cost
Step-by-step explanation:
$618 divided by 2 = 309
309 - 82 = 227 = cost of washing machine
618 - 227 = 391 = cost of dryer
You can double-check by,
391 + 227
= 618
$227 = washing machine cost
$391 = dryer cost
Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.
a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.
If the American Heart Association suggests a target heart rate of T=0.75(220-a), Proving that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.
Target heart ratea. Given:
T=0.75(220-a)
where
T =a person's target heart rate
a= his or her age
Prove:
Hence:
T=0.75(220-a)
T/0.75=220-a
T/0.75-220=a
-T/0.75+220=a
a=-T/0.75+220
a=220-T/0.75
b. How old is she:
a=220-T/0.75
where:
T=153
Substitution
a=220-153/0.75
a=220-204
a=16 years
Therefore proving that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.
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The complete question is:
Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.
a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.
b. If Mai-Lin’s target heart rate is 153, then how old is she? What property justifies your calculation?
There are green grapes and black grapes in the ratio 3:4 if there are 24 green grapes how many black grapes are there?
pay a $12 set up fee for club T-shirts plus $5 per shirt.
The math club had to
Formulate an equation. Let s represent the number of t-shirts and C the cost.
Answer:
Step-by-step explanation:
c=12+5t?
If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
The value of angle m< EBF is determined as 56⁰.
What is the sum of angles in a straight line?
The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.
m< EBC + m< ABE = 180
3y + 10 + 2y - 20 = 180
5y - 10 = 180
5y = 180 + 10
5y = 190
y = 190/5
y = 38
The value of m< EBF is calculated as follows;
Assuming equal division, m< EBF = m< ABE
m< EBF = 2y - 20
m< EBF = 2(38) - 20
m< EBF = 56⁰
Thus, the value of angle m< EBF is determined as 56⁰.
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Which expression of signed decimal numbers has a positive quotient?
Group of answer choices:
2.5 divided by negative 9.56
Negative 1.7 divided by negative 10.06
Negative 9.34 divided by 0.55
Negative 0.3 divided by 9.44
The quotient of an expression of signs decimal numbers is positive:
= 0.16.
The correct option is B.
Briefing:There is one key notion when dividing any negative integer by another: the negative signs cancel out. This is unique to this situation. A positive number divided by such a negative number equals a negative number. As a result, you can't divide any two numbers as well as expect a positive result. In general, negative and positive numbers behave differently.
According to the given data:For
a. 2.5 / -9.56
dividing the numbers we get:
= -0.26
For
b. -1.7 / -10.06
dividing the numbers we get:
= 0.16
For
c. -0.3 / 9.44
dividing the numbers we get:
= -0.03
For
d. -9.34 / 0.55
dividing the numbers we get:
= -16.98
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I understand that the question you are looking for is:
Which expression of signed decimal numbers has a positive quotient?
a. 2.5 / -9.56
b. -1.7 / -10.06
c. -0.3 / 9.44
d. -9.34 / 0.55
C. C. A different class is made up of 40â% women and has 20 women in it. What is the total number of students in theâ class?
Total number of students in a class is 50.
A class has 40% of women.
Total Number of women in a class = 20 equation 1
Let total number of students in a class = x
According to the question a class has 40% of women. Mathematically we can write it as,
Total Number of women in a class = 40 % of x
Total Number of women in a class = ( (40x) / 100 ) equation 2
On equating equation 1 and equation 2, we get
20 = ( (40x) / 100 )
⇒ 40x = 2000
⇒ x = 50
Total number of students in a class is 50.
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Round 0.687 to the nearest hundredth
Answer:
0.69
Step-by-step explanation:
The 8 is in the hundredths place.
0.687 becomes 0.680, but since the leftmost digit dropped is a 7, the 8 goes up 1 to 9.
Answer: 0.69
Answer:
0.69
Step-by-step explanation:
Jeffrey caught 8 worms in his backyard. 4 worms had a length of 3 inches. The other 4 worms were all the same size. The total length of all the worms combined is 32 inches. Which equation below represents the lengths of all the worms?
A 4x + 3x = 324x + 3x = 32
B 4(x + 3) = 324(x + 3) = 32
C 4x + 3 = 324x + 3 = 32
D 3(x + 4) = 32
Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.
We are given that:
Jeffrey has 8 worms
The 4 worms in it has the length of 3 inches.
The expression would become:
Length = 4 × 3
Also, we are given that the rest 4 worms are of equal length.
Let that equal length be x
The expression becomes:
Length = 4 × x = 4 x
Also, we are given that the total length of the worms = 32 inches.
The equation becomes:
32 = 3 × 4 + 4 × x
4 ( x + 3 ) = 32
Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.
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Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent. round to the leading digit to determine approximately how many countries edna has visited.
Edna has visited 44 countries.
For given question,
Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent.
Here each continent has 11 countries.
She visited 4 different continents.
So, the total number of countries she has visited would be given by an expression,
11 × 4
We solve above expression to determine how many countries Edna has visited.
11 × 4 = 44
Therefore, approximately 44 countries Edna has visited.
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In a zoo there are zebras and orangutans.
Altogether there are 36 heads and 100 feet.
How many zebras are there?
Answer:14 zebras 22 orangutans
Step-by-step explanation: 14x4=56 22x2=44 56+44=100
In the diagram, PQRS is a square. (a) Show that triangles PQU, QRV, RSW and SPT are congruent. (b) Show that TUVW is a square.
Answer:
(a)=∆PQU,∆QRV,∆RSW and ∆SPT are congruent.
Step-by-step explanation:
PQRS is square (given)
PQ=QR=RS=PS
When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.
The equation of the parabola that models the given situation is y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.
Define parabola and its types.A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.
To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by y = [tex]a(x-h)^{2}[/tex]+ k or x = [tex]a(y-k)^2[/tex] +h, where (h,k) denotes the vertex. A regular parabola's standard equation is [tex]y^2[/tex] = 4ax.
Now, the equation of parabola for the given situation is calculated as:
y = [tex]a(x-3)^2[/tex]+ 1.5
Now, put the value of x = 0 and y = 0.
0 = [tex]a(0-3)^2[/tex]+ 1.5
0 = 9a + 1.5
-9a = 1.5
a = - 1.5/9
a = -1/6
Now, put the value of a in equation y = [tex]a(x-3)^2[/tex]+ 1.5 to obtain:
y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.
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Write a subtraction sentence where the difference is positive use a positive and a negative interference
The subtraction sentence where the difference is positive which uses a positive and negative integer are written as 5 - (-3) =8.
Integers are all real , rational numbers except the decimals and fractions. There are 3 types of integers : positive negative and zero integers.
Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.
There are two cases;
Case 1;
when modulus of positive integer ≥ modulus of negative integer;
Example; 5 - (-3) = 5 + 3 = 8 (Here, |5| > |-3|)
Case 2;
when modulus of positive integer ≤ modulus of negative integer;
Example; 5 - (-10) = 5 + 10 = 15 (Here, |5| < |-10|)
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Complete the sentence.
4ft= ____ in.
4ft = 48in or 4 feet is equivalent to 48 inches.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of length: feet and inches.
From there, we can say that we are asked how many inches are there in 4 feet
Converting feet to inches, we must use the conversion
1 foot = 12 inches
4ft = 4 (12 inches)
4ft = 48in
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pick a symbol that goes in the blank (pls answer asap i will give brainliest)
3 -1 ___ 1/4
=
<
>
Answer:
>
Step-by-step explanation:
2 of course greater than quarter
Answer:
Step-by-step explanation:
goo ba i think its gobba
TRUE OR FALSE? 0.75 is an irrational number
Answer:
FALSE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
0.75 has a finite number of digits and can be expressed in a fraction of integers.
0.75=75/100
75/100=3/4
Easy math question n
Answer: [tex]|x| \leq 5[/tex] (the last option)
Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.
THIS IS EASY?? OH HELL NO-
logp(5) = x, logp(7) =y
Write logp([5p^2]/49) in terms of x and y
The expression is x+2-2y
It is given to us that logp5=x and logp7=y
Now we are required to find logp(5p^2)/49 in terms of x and y
we know that in logarithmic formulas
loga^b=b loga
logab = log a+log b
log a/b= log a- log b
Now using these formulas to find the solution,
logp 5p^2/49
= logp5+ logp p^2 -log 49
=logp5+2 logpp-2log7
we know that logpp=1,hence
= logp5+2 -2 logp7
=x+2-2y
Hence the expression is x+2-2y
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Cheyenne is going to the store with $20.she wants buy as many bags of takis as she can. if takis are $1.50 per bag, what is the maximum number she can buy?
Cheyenne can buy a maximum of 13 bags of Takis.
We have,
To find the maximum number of bags of Takis Cheyenne can buy with $20, we need to divide the total amount of money she has by the cost per bag of Takis.
Cost per bag of Takis = $1.50
Total money Cheyenne has = $20
Maximum number of bags of Takis = Total money / Cost per bag
Maximum number of bags of Takis = $20 / $1.50
Maximum number of bags of Takis = 13.33
Since Cheyenne cannot buy a fraction of a bag, the maximum number of bags of Takis she can buy is 13.
Thus,
Cheyenne can buy a maximum of 13 bags of Takis.
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Which description matches the graph of the inequality y > x + 4?
The graph of the inequality y > x + 4 matches the description in Option(c)
a shaded region above a dashed boundary line.
How to graph Linear Inequalities?A linear inequality is similar to a linear equation, but instead of a =, it will have an inequality sign like >,<, or ≤,≥.Place "y" on the left and the remaining variables on the right in the equation.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>).Shade above the line in the graph for a "greater than" (y> or y≥)or below the line in the graph for a "less than" (y< or y≤).Given function: y > x + 4
Let's plot the graph of the given function and then match it with the options to see which is the solution.
So we will Plot y = x + 4 (as a dashed line because y > )
the coordinates will be,
x = 0 , y = 4
x = -1 , y = 3
x = -2 , y = 2
x = 1 , y = 5
x = 2 , y = 6
The purple shaded region satisfies the inequality y > x + 4.
Hence the graph description is a shaded region above a dashed boundary line.
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The complete question is: "Which description matches the graph of the inequality y > x + 4?
a) a shaded region above a solid boundary line
b) a shaded region below a solid boundary line
c) a shaded region above a dashed boundary line
d) a shaded region below a dashed boundary line."
Help with problems 17 and 18 please and thank you
Answer: 17. Domain: x is all real numbers
Range: y>=0
18. r=2
Step-by-step explanation:
17. f(x)=|x-2|
|x-2|>=0
x-2>=0
x>=2
x-2=<0
x=<2
x can be less than, equal to, or greater than 2. Hence,
Domain: x is all real numbers
|x-2|>=0 ==> f(x)>=0
Hence, the range is:
Range: y>=0
18. m=(y2-y1)/(x2-x1)
2=(9-3)/(5-r)
2=6/(5-r)
2(5-r)=6
5-r=3
r=2
In am writing this because the app says the answer is to short :)))
It took clare 100 minutes to walk the east side of garden at a constant speed. if the total distance of the east side is 2,500 feet, at what speed was she walking? feet per minute
Answer: 25 ft per min.
Step-by-step explanation:
Time= 100 min.
Distance= 2500 ft.
Speed= 2500/100 = 25 ft per min.