To solve this question, we need to understand the concept of midpoint.
Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:
[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]Segment:
C is the midpoint of the segment AB, which means that:
The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.
[tex]AC = CB[/tex]
The distance of the midpoint to one of the endpoints is half the total distance, that is:
[tex]AC = \frac{AB}{2}[/tex]
[tex]CB = \frac{AB}{2}[/tex]
Solution:
We have to solve for x, considering one of the three relations.
Considering:
[tex]AC = 4x, CB = 12 + x[/tex]
[tex]AC = CB[/tex]
[tex]4x = 12 + x[/tex]
[tex]4x - x = 12[/tex]
[tex]3x = 12[/tex]
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
The solution for x is x = 4 miles.
A similar question is found at https://brainly.com/question/24114584
Would be very happy if you helped.Don’t spam guys
[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]
Now
[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]
[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
A taxi charges a flat rate of $8 plus $2 per mile travelled. Write an equation to represent the total cost of a journey. (Let d miles = distance travelled)
Answer:
Y = 8 + 2d
Step-by-step explanation:
Y = 8 + 2d where d is miles traveled
Answer:
y = 2d + 8
Brainliest, please!
Step-by-step explanation:
y = mx + b
m = slope, b = y-intercept
The flat rate of $8 is the y-intercept, and the slope is $2.
y = 2x + 8
We can change x to d to match the context of this problem.
y = 2d + 8
Can i please get this answered
Answer:
0 is the answer . The explanation is in the attachment .
What is the measure of the missing length?
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
Please help me solve this guys pleasee im struggling
Answer:
see below
Step-by-step explanation:
y = x^2 +2x - 8
Factor
y = ( x+4)(x-2)
The zeros are
x+4 = 0 x-2 = 0
x= -4 x= 2
(-4,0) (2,0)
The axis of symmetry is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
x = -1
The x coordinate of the vertex is at the axis of symmetry
The y value is found by substituting x=-1
y = (-1+4) (-1-2)= 3*-3 = -9
Vertex ( -1,-9)
The domain is all real numbers
The range is from -9 up
y≥ -9 since it opens upward
х
x
320
X=
degrees.
SJSJSJSJS Ja
Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]
[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answer:
[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
Write the complex number 1 +i/1 -i into polar form
Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
Please help me I’m confused
A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:
1. BC = 89
b. AB = 45
c. AC = 44
2. The coordinate of I is 2.5
3. J = 19
4. MQ = 32
5. NO = 13
6. NO = 23
b. MN = 25
A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.
The given questions can be solved as follows:
1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16
But,
BC = AB + AC
7x + 5 = (4x -3) + (5x - 16)
= 9x - 19
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = [tex]\frac{24}{2}[/tex]
x = 12
So that;
a. BC = 7x + 5
= 7(12) + 5
BC = 89
The value of BC is 89.
b. AB = 4x -3
= 4(12) - 3
AB = 45
Thus AB has a value of 45.
c. AC = 5x - 16
= 5(12) -16
AC = 44
The value of AC is 44.
2. Given that H is the mid point of GI, and G = 8, I = -3.
Then;
I = 2.5
The coordinate of I is 2.5
3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38
J = [tex]\frac{KL}{2}[/tex]
= [tex]\frac{38}{2}[/tex]
J = 19
The value of the midpoint J is 19.
4. It can be deduced from the conditions given in the question that:
MQ = MN + NO + OP + PQ
= 8 + 8 + 16 (NB: OP + PQ = 16)
MQ = 32
Thus, value of MQ is 32.
5. Since P is the mid point of NQ, and OP = 11, OQ = 35
Then;
PQ = OQ - OP
= 35 - 11
PQ = 24
Since, PQ = NP =24
Then;
NO = NP - OP
= 24 - 11
NO = 13
NO has a length of 13.
6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.
But,
NO + OP = NP
(2y + 11) + (3y - 2) = 6y + 3
5y + 9 = 6y + 3
9 - 3 = 6y - 5y
y = 6
So that;
a. NO = 2y + 11
= 2(6) + 11
NO = 23
Here, the value of NO is 23.
b. MN = MP - NP
But,
NP = 6y + 3
= 6(6) + 3
NP = 39
Then;
MN = 64 - 39
MN = 25
So that MN has a value of 25.
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Pleaseeeee help!!!!!
Answer:
.71
Step-by-step explanation:
We only need to look at the brown eyes row
2+2+10 =14
Brown hair is 10
P(brown hair) = brown hair / total
=10/14 =5/7 = .714285714
One thousandth of the base unit in length :
One millionth of the base unit in mass :
One thousandth of the base unite in time :
Step-by-step explanation:
[tex]1 \div 100th[/tex]
The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
Which equation is the inverse of y = 16+ 1?
Choices
Answer:
d
Step-by-step explanation:
you could see it is x-1 and the the square root of 16 is 4.
Answer:
Answer is the very bottom one
Step-by-step explanation:
hope this helped ^^
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
8 lb. 9 oz.
X 15 _______
Step-by-step explanation:
where is the steps to this question you can't answer it without a question too it SMH
what numbers do u put up top when your doing 12,490 + 3,941
Answer:
12,490
+ 3,941
16431
Step-by-step explanation:
when it.jhonny hejzjrhjahruwhehb4nrjdjhegrhdjsrhhrhrr jake b poouoiouoiouoakao
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
plssss help???????? don’t understand
Answer:
cos N = 7/25 =.28
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos N = MN/ LN
We need to find the ad
Using the Pythagorean theorem
a^2+b^2 = c^2
MN^2 + 48^2 = 50^2
MN^2 + 2304 =2500
MN^2 = 2500-2304
MN^2 =196
Taking the square root
MN =14
cos N = MN/ LN
cos N = 14/50
cos N = 7/25
Answer: CosN (0.28)
A²+B²=C²
In this case we are trying to find the base so
C²-A² = B²
So 50² subtract 48²= B²
2,500 subtract 2,304 = 196
Square root of 196 = 14
Now we have all 3 sides of the triangle we find
Soh Cah Toa
Cah means Cos=Adjacent / hypotenuse
First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent
We have Angle N and we know our hypotenuse (The longest side of the triangle)
The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent
In this cse the angle we solved for B²= 14
Again back "Cah" Cos= Adjacent/hypotenuse
So, 14/50 = 0.28
Step-by-step explanation:
Algebra 1 need help ASAP
This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).
Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
Learn more about y-intercept here: https://brainly.com/question/19072676
A binomial with a leading coefficient of 4 and a constant of 1.
Coordinates of C and D are (-14 , 6) and (x , 13) respectively.Given x is a positive integer and the distance CD is 25 units.Find the value of x.
Answer:
10
Step-by-step explanation:
1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)
2) The module of the vector CD is equal to diatance CD=25. It is equal to
sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).
25= sqrt ((x+14)(x+14)+7*7)
625= (x+14)*(x+14)+49
625= x^2+28x+196+49
X^2+28X-380=0
a=1 b=28 c=-380
D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304
sqrt D= sqrt2304=48
x1= (-28-48)/2= -38
x2= (-28+48)/2= 10
But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.
A storeowner orders 25 calculators that cost $38 each. The storeowner can sell each calculator for $42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
Step-by-step explanation:
25*-30= -$750
Second: He sells 22 of those calculators for $35 each, so he is making money.
22*35= $770
Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.
3*-2= -6
Add all the costs and sales together, and you get 770-750-6= $14 profit
However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90
$90+$14= $104 profit
here u go
2. Find the measure of angle J.
Find the inverse of the given function. f(x) = 7x – 4
Hi there!
[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]
f(x) = 7x - 4
Rewrite f(x) with y:
y = 7x - 4
Swap the x and y variables:
x = 7y - 4
Solve for y:
x + 4 = 7y
y = (x + 4)/7
I need help plz anyone I don't understand this at all.
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
25 points, choices in photo
Which of the following accurately shows the first step when solving the following system of equations by substitution?
I would go with C as a first step
The correct answer is C (that is equating f(x) and g(x))
How to solve a quadratic and linear equation?A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.
In geometric sense, solving them means finding the point of intersection of curves:
In X-Y plane, these polynomials can be written as:
[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]
Taking the value of y from second equation and substituting it in first equation we get,
[tex]-x^{2} +2x+3=-2x+3[/tex]
Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.
To know more about polynomials refer to:
https://brainly.com/question/9438778
#SPJ2
Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5
O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV
Answer:
O I, II, and III only
Step-by-step explanation:
x-3 < 2
Add 3 to each side
x-3+3< 2+5
x<5
-3 is less than 5
0 is less than 5
2 is less than 5
5 is not less than 5
I , II , II are true
solve the inequality and graph the solution
-5-7x < -40
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
