Answer:
100 miles
Step-by-step explanation:
Relative Speed: 60+40=100 mph
you can think that one train is stationary,another one is 100 mph
so one hour before the train pass each other，the distance is 100 miles
(SAT Prep) Find the value of x in each of the following exercises: WILL MARK BRANLIEST!!!
Answer:
Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:
x + 35 = 105
x = 70°
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 What is the best viewing window to find the solution to the system of equations? 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –20 Less-than-or-equal-to y Less-than-or-equal-to 0 –20 Less-than-or-equal-to x Less-than-or-equal-to 0, –10 Less-than-or-equal-toy Less-than-or-equal-to 10
Answer:
The correct option is 2.
2) 0 Less-than-or-equal-to x Less-than-or-equal-to 20, –10 Less-than-or-equal-to y Less-than-or-equal-to 20.
Step-by-step explanation:
We have been given 2 equations.
y = -x + 9
y = 0.5x-6
Lets graph the both equations.
From the graph we can see that the line of both equations intersect at point (10,-1)
As the value of x of solution lies in the positive x axis, it is not necessary to graph the value of negative x-axis. It terminates the options 3 and 4 given.
As the value of y of solution lies in negative y-axis, it is necessary to graph some values of negative y-axis. It terminates option 1.
The only option left is option 2
Answer:
B
Step-by-step explanation:
I just did it on edge.
*PLEASE ANSWER* Which known figures make up this unknown figure?
Answer:
C
Step-by-step explanation:
it's a half circle , rectangle and triangle that can exactly be carved out of the figure
Answer:
C
Step-by-step explanation:
half-circle ; rectangle ; triangle
The graphed line shown below is y = 5 x minus 10. On a coordinate plane, a line goes through (2, 0) and (3, 5). Which equation, when graphed with the given equation, will form a system that has no solution? y = negative 5 x + 10 y = 5 (x + 2) y = 5 (x minus 2) y = negative 5 x minus 10 Mark this and return
Answer:
The correct option is:
y = 5(x-2)
Step-by-step explanation:
The graphed line is;
y = 5x - 10
y = mx + c
Thus, slope of graphed line is equal to m=5.
Those line will have no solution which have are parallel to the graphed line (have a slope of 5) and passes through the given points.
Following lines have the slopes 5:
y= 5(x+2)
y= 5(x-2)
Check which equation satisfied points (2,0) and (3,5)
For (2,0)
y=5(x-2)
y=5(2-2)
y=0
For (3,5)
y=5(x-2)
y=5(3-2)
y=5
Thus, correct option is y = 5(x-2)
Answer:
y = 5 (x + 2)
Step-by-step explanation:
Its this because the slopes have to be the same, but the y intercepts have to be different
Helpppp me plz answer this for me plz
Answer:
0.1
Step-by-step explanation:
There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.
Answer:
0.1 is the right answer
Which of the following are techniques used in geometric constructions with paper folding?
Check all that apply.
A.Creating arcs and circles with the compass
B.Marking points
C.Measuring line segments by folding the paper and matching the endpoints
D.Folding the paper and aligning marks seen through the paper
The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
What is geometric constructions?The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.
The techniques used in geometric constructions with paper folding are listed below.
Marking the points on the paper.Folding the paper and orienting marks which are visible through the paper.Drawing the line segments.Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
Learn more about the geometric constructions here;
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Answer:
Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper
Graph the hyperbola with equation (x+1)^2/9-(y-4)^2/25= 1
Answer:
Step-by-step explanation:
Hope it helps <3
What is the recursive formula for this sequence? 14,18,22,26,30...
Answer:
an = an-1 +4
a1 = 14
Step-by-step explanation:
The recursive formula is
an = an-1 +d where d is the common difference
a1 = initial term
a1 = 14
d = the difference between the terms
Take the second term and subtract the first term
18-4 = 4
That is the common difference
an = an-1 +4
a1 = 14
If we will analyze this sequence, we will notice that:
The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14. From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.So,
[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]
Therefore, the correct option is letter C.
a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
-4).
1) (x - 3)2 + (y + 1)2 = 5
2) (x - 3)2 + (y + 1)2 = 25
3) (x - 3)2 + (y + 1)2 = 100
4) (x - 3)2 + (y + 1)2 = 10
Answer:
(x - 3)^2 + (y + 1) = 25
Step-by-step explanation:
First find the midpoint of the diameter, because that represents the center of the circle.
-1 + 7
The x-coordinate of the midpoint is xm = ---------- = 3
2
2 - 4
and the y-coordinate is ym = ---------- = -1
2
And so the center of this circle is at (3, -1).
Use the Pythagorean Theorem to determine the square of the radius:
square of radius = 4^2 + (-3)^2 = 16 + 9 = 25
And so the equation of this circle is (x - 3)^2 + (y + 1) = 25
Answer:
option 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The centre is at the midpoint of the endpoints of the diameter.
Using the midpoint formula with (- 1, 2) and (7, - 4), then
centre = ( [tex]\frac{-1+7}{2}[/tex] , [tex]\frac{2-4}{2}[/tex] ) = (3, - 1 )
The radius is the distance from the centre to either of the endpoints of the diameter.
Using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (- 1, 2)
r = [tex]\sqrt{(3+1)^2+(2+1)^2}[/tex]
= [tex]\sqrt{4^2+3^2}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Thus
(x - 3)² + (y - (- 1))² = 5² , that is
(x - 3)² + (y + 1)² = 25 ← equation of circle
select the correct statement about the function represented by the table. A. It is an exponential function because the y-values increase by an equal factor over equal intervals of x values. B. It is a linear function because the difference y - x for each row is constant. C. It is an exponential function because the factor between each x and y value is constant. D. It is a linear function because the y values increase by an equal difference over equal intervals of x-values.
Answer: D.
Step-by-step explanation:
The common difference between each y-value is 18.
80 - 62 = 18
62 - 44 = 18
44 - 26 = 18
The function stays the same for every interval of the x-values
(1, 26)
(2, 44)
(3, 62)
Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.
What is function?Function is the expression that defines the relationship between the independent and dependent variables.
Determine the difference between the consecutive y-values.
44-26=18
62-44=18
80-62=18
98-80=18
It can be observed that the difference in the consecutive y-values is same, which is, 18.
Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.
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evaluate this exponential expression
Answer:
171
Option D is the correct option.
Solution,
[tex]4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171[/tex]
Hope this helps..
Good luck on your assignment...
Answer:
[tex]171[/tex]
Answer D is correct.
Step-by-step explanation:
[tex]4 \times {(2 + 5)}^{2} - {5}^{2} \\ 4 \times {7}^{2} - 25 \\ 4 \times 49 - 25 \\ 196 - 25 \\ = 171[/tex]
Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)
Answer:
9:13.
Step-by-step explanation:
$1.30 = 130 cents
So the ratio is 90:130
= 9:13.
Determine if the equation x^2 + 3y^2= 3 defines y as a function of x
Answer:
y is NOT a function.
Step-by-step explanation:
The equation given to us is:
x² + 3y² = 3
Rearrange the equation:
3y² = 3 - x²
y² = (3 - x²)/3
y² = 1 - (x²)/3
y = ±√(1 - x²/3)
For any equation to be a function, there should be only one output for one input. Which means that for any value of x, there should be only one value of y. However, in this equation, as the underroot gives two values of any terms under it, it shows that if we put any value of x, we'll get 2 values of y. Therefore, y is not a function.
Given that m angle x is 30 degrees in the diagram above find the m angle y please help now
Answer:
m<y= 30°Step-by-step explanation:
Because they are vertically opposite angles.
Vertically opposite angles are always equal.
About vertically opposite angles:Please see the attached picture.
There,
<AOC and <BOD are formed by the intersected line segments and they lie to the opposite side of the common vertex. They are called vertically opposite angles. <AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.
Hope this helps ...
Good luck on your assignment...
Answer:
y = 30°
Step-by-step explanation:
X and Y are vertically opposite angles meaning they are equal
find the value of c in the calculations below c/6 - 4/9 = 7/18 these are fractions you will get brainliest
Answer:
c = 5
Step-by-step explanation:
c/6 - 4/9 = 7/18
Make denominators equal.
3c/18 - 8/18 = 7/18
Cancel denominators since they are equal.
3c - 8 = 7
Add 8 to both sides.
3c = 7 + 8
3c = 15
Divide 3 into both sides.
c = 15/3
c = 5
An arc is a smooth piece of a circle. A major arc of a circle is an arc that is longer than half the circumference of the circle. Find the measure of the major arc ABC.
Part I: The mŁABC is equal to one half of the mac. (Circle one) (1 point)
Part II: Using the relationship you established in Part I, find the mac. Show your work and explain
your answer. (2 points)
Part III: Using your answer from Part II, find the mABC. Show your work. (2 points)
Part 1
Answer: one halfThe angle ABC is one half of minor arc AC
Explanation: A minor arc is any arc that has measure less than 180 degrees (ie smaller than half the circle). Due to the inscribed angle theorem, any inscribed angle is always one half of the arc it cuts off
==========================================
Part 2
Answer: 80 degreesExplanation: Angle ABC is 40 degrees as shown in the diagram. Minor arc AC is 80 degrees since the inscribed angle is half of the arc. Put another way, the arc is twice that of the inscribed angle. This is something you should put in your notebook or on a reference card
inscribed angle = (1/2)*arcarc = 2*(inscribed angle)So we can say
minor arc AC = 2*(inscribed angle)
minor arc AC = 2*40
minor arc AC = 80 degrees
==========================================
Part 3
Answer: 280 degrees.Explanation: Major arc ABC and minor arc AC combine to get the full circle of 360 degrees. We know minor arc AC is 80 degrees, so 360-80 = 280 is the remaining bit.
Does anyone know this! Thanks
Answer:
130 ft
Step-by-step explanation:
S.A. = 2wl + 2lh + 2hw
= 2 x 5 ft x 7 ft = 70 ft 2 x 7 ft x 2.5 ft = 35 ft 2 x 2.5 ft x 5 ft = 25 ft
70 + 35 + 25 = 130 ft
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (7,-7) and perpendicular to the line whose equation is x - 5y-2 = 0
The equation of the line in point-slope form is...
Answer:
y=-5x+28 general form
slope point :y-(-7)=-5(x-7)
Step-by-step explanation:
definition :perpendicular slopes are negative reciprocals of each other
x-5y-2=0
y=1/5 x-2/5
slope of the perpendicular line =1/m=-1/(1/5)=-5
slope point :y-(-7)=-5(x-7)
find b :
y=-5x+b
-7=-5(7)+b
b=-7+35=28
y=-5x+28
y=1/5 x-2/5
What is the value of the expression below? 81^5/4
Answer:
81^5/4
Rewrite 81 in index form that is 3⁴
So we get
3⁴ × ^5/4
= 3^5
= 243
Hope this helps
Answer:
243 is correct
Step-by-step explanation:
help asap(will gove thanks and brainlist)(simplify the expression into a exponent)
Answer:
The answer for
a⁹b¹⁰bdc⁷x³Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n} ⇒ {a}^{m - n} [/tex]
Question 1:
[tex] {a}^{4} \times {b}^{8} \times {a}^{5} \times {b}^{2} \\ = ( {a}^{4 + 5} ) \times ( {b}^{8 + 2} ) \\ = {a}^{9} \times {b}^{10} \\ = {a}^{9} {b}^{10} [/tex]
Question 2:
[tex] {c}^{3} \times d \times {c}^{4} \times b \\ = b \times d \times ({c}^{3 + 4} ) \\ = bd \times {c}^{7} \\ = bd {c}^{7} [/tex]
Question 3:
[tex] \frac{ {x}^{5} }{ {x}^{2} } \\ = {x}^{5} \div {x}^{2} \\ = {x}^{5 - 2} \\ = {x}^{3} [/tex]
Round 65.65 to the nearest whole number
Answer:
66
Step-by-step explanation:
We know that whole number means the digits before the decimal point, meaning we have to take a look at .65 since that is after the decimal point.
So
We take a look at .6, since that is the number directly after the decimal point.
If the digit is 5 and up we round up, if the digit is 4 and down we round down
."6" is our digit meaning we round up
So we take 65 and round up to 66, making the number a whole number with no decimals after it
2. There are 367 students in a class. If two students are chosen at random, what is the probability in percentage that the two students will shared the same birthday
Answer: The chance that the second person has the same birthday is 1/365.
Step-by-step explanation: Hope this helps
Answer:
0.00544959128%
Step-by-step explanation:
2 / 367 =0.00544959128%
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
720 over P = 9, what's P
Answer:
80
Step-by-step explanation:
720/P = 9/1
Cross multiply.
9P = 720
P = 720/9
P = 80
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab driver. Bert’s _____________________________________ Madeline’s ________________________________
Answer:
3*m+1 and 3+2*m
Step-by-step explanation:
$600.99
Step-by-step explanation:
Because the cab company is located in New York. In New York, cab drivers basically rob you.
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
53/66 is the probability that after drawing four coins.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a hat contains six nickels and five pennies
Drawn coins from the hat at random, without replacement.
We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.
We use complementary counting to find the probability of picking the outcomes.
Probability of picking PPPP:
5/11 × 4/10 × 3/9 × 2/8
= 120/7920
= 1/66
Probability of picking PPPN:
5/11 × 4/10 × 3/9 × 6/8
= 360/7290
= 3/66
Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)
3/66×4= 12/66.
The total of these two probabilities is 13/66.
1-13/66
53/66
Hence, 53/66 is the probability that after drawing four coins.
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What is the value of x?
Answer:
x = 65
Step-by-step explanation:
interior angles = 180°
45° + (2x - 5)° = 180°
(2x - 5)° = 180° - 45°
(2x - 5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130° ÷ 2
x° = 65°
x = 65
this is an easy question, and i'm giving all my points, so if y'all want that, answer the following questions
Answer:
Step-by-step explanation:
a)180 degrees
b)parallel
c)90 degrees
d)supplementary and adiacent
e)right
f)supplementary
Answer:
a) 180°
b) parallel
c) 90°
d) adjacent
e) right angled
f) supplementary
answerrrrrr mmeeeeeeee ill give you 24 points
Answer:
Density = Mass / volume
Problem B mass = 87.5 g and volume = 5 cm^3
Density = 87.5 / 5 = 17.5
This value is too low to be platinum
Step-by-step explanation:
Answer:
Item B.
Step-by-step explanation:
Density of item B
= mass / volume
= 87.5 / 5
= 17.5 g/cm^2 so it cannot be platinum.
The density if Items A and C are the same : 21 g/cm^2.