Answer:
Distance = |b - c|
Step-by-step explanation:
Suppose a, b, and c are all negative numbers.
We have to describe the way to find the distance between points (a,b) and (a.c).
Since the x-coordinates of the two points are the same and are a, therefore, the distance between the y-coordinates of the two points will give the distance between the two points.
Mathematically the distance d will be given by d = |b - c|, where |x| is the absolute value function of x. (Answer)
solve for x,
-3x = -15
Answer:
x=5
Step-by-step explanation:
so to isolate the x you dived the -3 to both sides
so it will now be
x=5 because a negative times or divided by a negative equals a positive so to prove that x=5
-3(5)=-15
which is true
The sum of two consecutive negative integers whose product is 156. Find the integers
Answer:
The integers are -13 and -12
Step-by-step explanation:
Let
x ----> the first consecutive negative integer
x+1 ----> the second consecutive negative integer
we know that
[tex]x(x+1)=156[/tex]
Apply the distributive property
[tex]x^2+x=156\\x^2+x-156=0[/tex]
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^2+x-156=0[/tex]
so
[tex]a=1\\b=1\\c=-156[/tex]
substitute in the formula
[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4(1)(-156)}} {2(1)}[/tex]
[tex]x=\frac{-1(+/-)\sqrt{625}} {2}[/tex]
[tex]x=\frac{-1(+/-)25} {2}[/tex]
[tex]x_1=\frac{-1(+)25} {2}=12[/tex] ----> the solution cannot be a positive number
[tex]x_1=\frac{-1(-)25} {2}=-13[/tex]
therefore
[tex]x=-13\\x+1=-12[/tex]
Which is the best first step and explanation for solving this system of equations?
Answer:
Subtract equation 1 from equation 2
Step-by-step explanation:
Solve the following system:
{3 x + 4 y = 12 | (equation 1)
3 x = 2 y - 8 | (equation 2)
Express the system in standard form:
{3 x + 4 y = 12 | (equation 1)
3 x - 2 y = -8 | (equation 2)
Subtract equation 1 from equation 2:
{3 x + 4 y = 12 | (equation 1)
0 x - 6 y = -20 | (equation 2)
Divide equation 2 by -2:
{3 x + 4 y = 12 | (equation 1)
0 x+3 y = 10 | (equation 2)
Divide equation 2 by 3:
{3 x + 4 y = 12 | (equation 1)
0 x+y = 10/3 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{3 x+0 y = (-4)/3 | (equation 1)
0 x+y = 10/3 | (equation 2)
Divide equation 1 by 3:
{x+0 y = (-4)/9 | (equation 1)
0 x+y = 10/3 | (equation 2)
Collect results:
Answer: {x = -4/9 , y = 10/3
1. What elevation is Point A on Map 1? *
10 feet
30 feet
50 feet
70 feet
Will make brainliest
According to the map, each line is 10 feet.
A is 4 lines from the one marked 30 ft.
4 x 10 = 40 feet.
30 +40 = 70 feet.
The answer is 70 feet.
can someone help me please do tomorrow
Answer:
B
Step-by-step explanation:
Square root of 72=
8.485281474
A. 6
B. 6 square root 2=
8.485281474
C. 36
D. square root of 6=
2.449489743
Vi walks five days each week.She walks the same distance on the first two days.On days three and four,Vi walks twice as long as on the first two days.On day five she walks half as far as on day 1.If Vi walks 13 miles each week how does she walk each day
Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.
Step-by-step explanation:
Let,
x be the distance walked by Vi.
Therefore,
On first day = x
Second day = x
On days three and four,Vi walks twice as long as on the first two days
Third and fourth day = 2(x+x) = 2(2x) = 4x
On fifth day = half of first day = [tex]\frac{1}{2}x[/tex] = 0.5x
Total distance = 13 miles
Therefore,
[tex]x+x+4x+0.5x =13\\6.5x=13[/tex]
Dividing both sides by 6.5
[tex]\frac{6.5x}{6.5}=\frac{13}{6.5}\\x=2[/tex]
Distance on first day = x = 2 miles
second day = x = 2 miles
third and fourth day = 4x = 4(2) = 8 miles
fifth day = 0.5x = 0.5(2) = 1 miles
Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.
Keywords: distance, addition
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which value of x is in the solution set of the inequality -x+8>6
Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]
Step-by-step explanation:
We need to find the value of x from the inequality [tex]-x+8>6[/tex]
Solving:
[tex]-x+8>6[/tex]
Subtract 8 on both sides:
[tex]-x+8-8>6-8[/tex]
[tex]-x>-2[/tex]
Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <
[tex]x<2[/tex]
So, Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]
Keywords: Solving inequalities
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how do i find the slope of the line
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-3}{3-0}[/tex] = - [tex]\frac{2}{3}[/tex]
A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .
What is the displacement of the spring ?
A) 0.00392m
B)0.024m
C)0.1176 m
D) 0.2352m
Step-by-step explanation:
Let the mass of the person be [tex]m[/tex].
Let the spring constant be [tex]k[/tex].
Let the displacement in spring be [tex]x[/tex]
Let the acceleration due to gravity be [tex]g[/tex]
As it is given that the person just stands,the forces are balanced.
So,[tex]mg=kx[/tex]
Given,
[tex]m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}[/tex]
[tex]60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m[/tex]
on a field trip the ratio of students who brought a water bottle to those who didnt was 7 to 4. If 60 students did not bring a water bottle, determine the total number of studens on the field trip
What is 7 divided by 24.15
Answer:
20/69=0.2898550724637...
Step-by-step explanation:
a calculator
The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.
Explanation:The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.
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Josh deposits $4000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years?
i don't know how to solve this question. Please show work!!!
Answer:4000 deposit times 0.5 interest is 2,000. 2,000 x4 = 8,000 for 4 years.
Step-by-step explanation:
Plz help I dont know this answer do if u can help plz do
Answer:
The scale factor is 1/3
Step-by-step explanation:
we know that
The scale factor is equal to divide the length side of the image (square A'B'C'D') by the length side of the pre-image (square ABCD)
Let
z ---> the scale factor
x----> the length side of the image (square AB'C'D')
y----> the length side of the pre-image (square ABCD)
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=2\ units\\y=6\ units[/tex]
substitute
[tex]z=\frac{2}{6}[/tex]
simplify
[tex]z=\frac{1}{3}[/tex]
The scale factor is less than 1, so the dilation is a reduction
therefore
The scale factor is 1/3
Which of the following is a true statement?
A. |-15| = -15
B. |-12| > -15
C. |-12| > |15|
D. |15| > |-15|
Answer:
A. is False
B. is True
C. is False
D. is False
Step-by-step explanation:
Its absolute value so that means all numbers are now positive only with the ones that are with the double lines
Two parallel lines are intersected by another line, as shown below.
What is the measure of ∠1?
A
61°
B
74°
C
81°
D
119°
The measure of the angle 1 for the given figure is 61 degree.
Hence the correct option is (A).
From the given figure we have two parallel lines and a transversal which intersects them.
The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.
And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.
119 + angle 1 = 180
angle 1 = 180 - 119
angle 1 = 61
Hence the measure of the angle 1 for the given figure is 61 degree.
Hence the correct option is (A).
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Solve for x.
7x + 14 – 2x = −x + 12 – x − 19
A. x = −3
B. x = −1
C. x = 1
D. x = 3
Answer:
x=-3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
A
A.K.A – 3.
Step-by-step explanation:
Use the chart by multiply the binomial by the trinomial. (2y+3)(3y2+4y+5)
Answer:
6y^3+17y^2+22y+15
Step-by-step explanation:
(2y+3)(3y^2+4y+5)
6y^3+8y^2+10y+9y^2+12y+15
6y^3+17y^2+22y+15
Answer:
B. 6y^3+17y^2+22y+15
Step-by-step explanation:
how do you find x in y=4x+6
Answer:
impossible!
Step-by-step explanation:
There is no solution! 0=0
Answer:
x = (y/4) - (3/2)
Step-by-step explanation:
y=4x+6 (subtract 6 from both sides)
y - 6 = 4x (divide both sides by 4 and rearrange)
x = (y-6) / 4
x = (y/4) - (6/4)
x = (y/4) - (3/2)
If x(x - 5) = 14, then what is x equal to
Answer:
x(x-5) = 14
x^2-5x-14 = 0
x^2 -7x+2x-14=0
x(x-7)+2(x-7)=0
(x+2)(x-7)=0
x = -2, 7
Hope this helps!
The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimensions of the tennis court
The dimensions of the tennis court are:
Length = 14 m
Length = 14 mWidth = 10 m
Let the width be y.
From the question given above,
The length is 6 meters less than twice it’s width. This can be obtained written as:
Length = 2y – 6Area = 140 m²
Dimension =? Next, we shall determine the width (i.e y)Dimension = Area = Length × width
140 = (2y – 6)y
140 = 2y² – 6y
Rearrange
2y² – 6y – 140 = 0
Divide through by 2
y² – 3y – 70 = 0
Multiply the 1st term (i.e y²) and the last term (i.e –70) together. The result is –70y². Find two factors of –70y² such that their sum will result to the 2nd term (i.e –3y). The factors are –10y and 7y.Substitute –10y and 7y in place of –3 in the equation above.y² – 3y – 70 = 0
y² – 10y + 7y – 70 = 0
Factorize
y(y – 10) + 7(y – 10) = 0
(y – 10)(y + 7) = 0
y – 10 = 0 or y + 7 = 0
y = 10 or –7
Since measurement can not be negative,
Width = y = 10 m
Finally, we shall determine the length.Length = 2y – 6
y = 10
Length = 2(10) – 6 = 20 – 6
Length = 14 mTherefore, the dimensions of the tennis court are
Length = 14 m
Length = 14 mWidth = 10 m
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What are the measures of the missing angles x°, y° of a regular triangle if one angle measure equals 60°?
Answer:
So each interior angle measurement of the regular triangle is 60 degrees.
Step-by-step explanation:
If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.
If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.
If need more convincing, let's actually solve:
x+x+x=180
3x=180
x=180/3
x=60
So each interior angle measurement of the regular triangle is 60 degrees.
HELP ASAP
The dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much was the tip?
The dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much did Tyler spend in total?
Answer:
It is $17.
Step-by-step explanation:
3 11/16 into a decimal
Answer:
3.6875
Step-by-step explanation:
Answer:
3.6875
Step-by-step explanation:
First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.
PLEASE HELP ME
I REALLY NEED IT
ITS DUE TODAY
PLEASE
Answer:
[tex]A=16\pi\ units^{2}[/tex]
[tex]A=50.24\ units^{2}[/tex]
Step-by-step explanation:
we know that
The shape of the figure is a quarter of circle
so
The area of the figure is equal to the area of a circle divided by 4
[tex]A=\frac{1}{4}\pi r^{2}[/tex]
we have
[tex]r=8\ units[/tex]
substitute
[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]
[tex]A=16\pi\ units^{2}[/tex] ----> exact answer
assume
[tex]\pi =3.14[/tex]
[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer
What part of the circumference is an arc whose measure is 30°?
1/12
1/10
1/8
1/6
Answer:
1/12
Step-by-step explanation:
The whole circumference (i.e complete circle) is an arc which measures 360°
in our case, it is given that our arc measures only 30°
the fraction of our arc of 30° to the complete circle of 360° is
30/360
= 3/36
= 1/12
Students at a high school were polled regarding whether or not they would like to change the vending options at the school. Use the tree diagram to determine how many students responded “yes”.
A. 250
B. 550
C.750
D.450
A total of 750 students responded yes.
As it is given in the tree diagram that is lower there was a total of 450 students who responded yes.
Now, in upper there were a total of 400 students of which 100 students responded no which means (400-100), students responded yes i.e., a total of 300 students responded yes.
So, upper+lower responses of yes will be total responses of students as yes.
So, a total of 300+450=750 students responded yes.
Hence, 750 students responded yes.
Therefore, option C is the correct answer.
What is meaning of the respond?1 : to say something in return : make an answer respond to criticism. 2a : to react in response responded to a call for help. b : to show favorable reaction respond to surgery. 3 : to be answerable respond in damages.
What are examples of respond?Respond is defined as to answer or reply or to act in return. An example of to respond is to answer a question in class. An example of to respond is for an ambulance to rush to the scene of an accident after a phone call requesting their service. (intransitive) To say something in return; to answer; to reply.
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I NEED HELP QUICKKKKK
Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
(−$15) − 12
(−$15) + 12
(−$15) ÷ 12
(−$15) ⋅ 12
Answer:
the last one
(-15)x12
hope this helps!
A bicycle rental shop rents bicycles for $8 per hour. The total cost c
(in dollars) for renting a bicycle h hours is given by the function c = 8h. Once you get
to the rental shop, you figure you can rent a bicycle for at most 5 hours. What is the
most that you will pay for renting the bicycle?
The most you will pay for renting the bicycle for at most 5 hours is $40.
Explanation:The total cost of renting a bicycle for h hours is given by the function c = 8h, where c represents the total cost and h represents the number of hours rented. In this case, you figure you can rent a bicycle for at most 5 hours. To find the most that you will pay, substitute h = 5 into the function c = 8h:
c = 8(5) = 40
Therefore, the most you will pay for renting the bicycle for at most 5 hours is $40.
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A washer and dryer cost $600 combined. The cost of the washer is three times the cost of the dryer
helppppp pleaseeeeeee
Answer: C
Step-by-step explanation:
y<x-1
so you looking at the region below the line but not including it so graph c is good
Answer:
If you need proof here it is