Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
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Why was the United States interested in rebuilding the Japanese economy after World War II?
A
The United States feared the influence of communist countries in Japan.
B
The United States and Japan had a shared history of colonial oppression.
C
The United States wanted to make the Japanese pay war reparations.
D
The United States planned to occupy Japan for many years to come.
Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
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Determine the solution set for (x-3)2-18=-4
The base (b) of the triangle is
y feet.
The height (h) of the triangle is
feet
The area of the triangle is
square feet
Answer:
10 15 75
Step-by-step explanation:
can someone help me with these problems I don't get it very well
this is my answer but you need to check with your teacher
Answer:
25 & 26Complementary angles sum to 90°Angle:
90° - 47° = 43°Find x
2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruentAngle
82°Find y
5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°Angle:
180° - 115° = 65°Find n:
4n - 5 = 654n = 70n = 17.531 & 32Angle addition postulate
∠XYZ = ∠XYW + ∠WYZAngle
m∠XYW = 110° - 72° = 38°Find x:
3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)Angle
90° - 35° = 55°Find n:
5n = 55n = 11If x=5 and y=−2, evaluate the following expression:20−5y+2x
Step-by-step explanation:
20−5y+2x
20-5(-2)+2(5)
20+10+10=40
Answer:
20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )
= 20 − ( −10 ) + ( 2 ) ( 5 )
= 30 + ( 2 ) ( 5 )
= 30 + 10
= 40
Hope it helps
Please mark me as the brainliest
Thank you
What is the range of a function and how do you solve for it?
c) Work out
√6 x √6 x √6
Answer:
√6 × √6 × √6 = 6√6
Step-by-step explanation:
[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]
[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]
[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]
1
Carlos starts work at 21 20 and finishes at 06 15 the next day.
Calculate how long Carlos is at work.
Answer:
he's at work for 9 hours 55minutes
Carlos works for 8 hours and 55 minutes.
Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.
How to read 24 hours clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.
From 21:20 to 06:15 there are 8 hours and 55 minutes.
Therefore, Carlos works for 8 hours and 55 minutes.
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Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado
Answer:
25%
Step-by-step explanation:
Paso 1
Calcula la cantidad del contenedor que no estaba ocupado.
Esto se calcula como
Tamaño del recipiente: cantidad de líquido en el recipiente
= 120 lt - 90lt
= 30 litros
Paso 2
El porcentaje de la capacidad del tanque que está desocupado se calcula como:
= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100
= 30lt / 120lt × 100
= 25%
PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK
Answer:
1,215 i think please be right
5 1/3 divided by 2/3
Draw a diagram
[tex]5\frac{1}{3} =\frac{16}{3}[/tex]
[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]
Hope this helped!!!!!!!
Six more than the quotient of a number be in 30 is greater than three
Answer: 14
Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.
Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.
The final total says 14. That gives us the following:
6 + x/3 = 14
Solve for x: |x| − 8 = −5
Answer:
x=3
Step-by-step explanation:
Answer:
3 or -3
Step-by-step explanation:
|x| - 8 = -5
|x| = 3
The absolute value of x = 3, -3
Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply
Answer:
-8/5 = -1.6
-5/8 = -0.625
-1/2 = --0.5
Step-by-step explanation:
The number that is less then -0.625 is -8/5 which is -1.6
The figure is a parallelogram. Solve for x.
2X-5=17
2x=17+5
2x=22
x=11
Hope this is right!
Answer:
x=11
Step-by-step explanation:
2x-5=17
+5
2x=22
/2
x=11
5. What is the value of x?
(1 point)
60°
X
300
15
153
15
2
53
155
Answer:
x = 15[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]
I need help simplifying this equation.
Answer:
6abc
Step-by-step explanation:
In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:
3 * b * 2 * ac
= 3 * 2 * b * ac
= 6abc
the price of a sweater was reduced from $20 to $12 by what percentage has the price of the sweater been reduced
Answer:
The price of the sweater was reduced by 40%.
A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)
Answer:
4 units
Step-by-step explanation:
A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?
A triangle is a polygon with three sides and three angles.
The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:
[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]
There are 2 pigs, 1 cat, 3 goats, and 4 cows at the state fair. As people enter the barn area they are randomly given one animal to pet. What is the probability that a person will pet a goat? Write your answer as a fraction, decimal, and percent.
PLS ANSWER QUICK and pls dont answer with a website answer with the answer
Fraction:
Decimal:
Percent:
Answer:
3/10
Step-by-step explanation:
Probability will be the number of goats, since goats is what you're looking for, over the number of total animals. So that gives 3/10.
To get that as a decimal, divide 3 by 10. Then take your decimal and multiply it by 100 to give the percent.
Help pls this is mad hard
Answer:
17
Step-by-step explanation:
a²+b²=c²
(15x15)+(8x8) = c²
225+64 = c²
√c = 17
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
Friction is not related to the efficiency of a machine.
True or False
Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.
the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о
Answer:
Step-by-step explanation:
base = 784 sq in² 28 in tall pyramid
each side of the square base = √784 also equals 28
using the Pythagorean theorem the length of each side of the pyramid from the base to the point is
(side/2)² + height² =( length of the pyramid face)²
(28/2)² + 28² = 196 + 784 = 980 = (face length)²
face length = √980 = 31.3
area of the pyramid = 4 sides × area of each face + the area of the base
= 4×[(1/2)(base)(face length)] + side²
= 4(1/2)(28)(31.3) + 784
= 2537 sq in² Not in the solution set
solve graphically please send me by solving and clicking photo plzzzz
Answer:
Subtract 5x from both sides of the equation.
7y=1−5x
x+4y=−5
Divide each term by 7 and simplify.
y=17−5x/7
x+4y=−5
Subtract x from both sides of the equation.
y=1/7−5x/7
4y=−5−x
y=1/7−5x/7
Divide each term by 4 and simplify.
y=1/7−5x/7
y=−5/4−x/4
y=1/7−5x/7
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. (3,−2)
Step-by-step explanation:
solve the equation 2[x]>14
Answer:
2x>14
2x÷2>14÷2
X>14÷2
X>7 or X€(7,∞)
Step-by-step explanation:
step 1- divide both sides of the by 2
step 2- any expression divided by itself is 1
What’s the value of x
Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP
Answer:
1. d.9
2.
3.
Step-by-step explanation:
that is the only one I know sorry