find the distance from the point (6,4) to the line y=x+4
9514 1404 393
Answer:
3√2
Step-by-step explanation:
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
x -y +4 = 0
so the distance formula is ...
d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2
For the given point, the distance is ...
d = |6 -4 +4|/√2 = 6/√2
d = 3√2 . . . . distance from the point to the line
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (−1, 4), (−1, −3)
Answer:
The slope is undefined.
Step-by-step explanation:
M = Y2 - Y1
X2 - X1
M = -3 - 4
-1 - (-1)
M = -7
0
M = Undefined
Please Help! locks in 30 min! Will give brainlest!
Answer:
Step-by-step explanation:
cos(2θ) - cosθ + 1 = 0
2cos²θ - 1 - cosθ + 1 = 0
2cos²θ - cosθ = 0
2cosθ(cosθ - 1/2) = 0
cosθ = 0, θ = π/2, 3π/2
cosθ = 1/2, θ = π/3. 5π/3
So answer is 3rd choice
Fernando's taxi company charges an initial fee of $3.35 to ride and $0.25 charge per mile. The
cost y in dollars of a taxi ride is a linear function of the distance x in miles traveled.
write the equation for the situation above.
Can someone please help with this?
Answer:
∠K = 80°
∠M = 100°
Step-by-step explanation:
Angles along a line total 180°. So, your equation for ∠K is ...
60° +40° +∠K = 180°
∠K = 180° -100° = 80°
Similarly, ...
∠M = 180° -∠K = 100°
_____
Additional comment
Together, the 60° and 40° angles make a 100° angle that is vertical to (and congruent with) ∠M. Recognizing that, you know ∠M = 100°. ∠P is a vertical angle with ∠K, so will have the same measure, 80°.
answer quickly please
Write 2350 million in standard form.
Answer:
2,350,000,000
Step-by-step explanation:
hope this helps
What is the absolute value of -8? Use the number line to help answer the question
3
4
1
2
S
6
7
8
0
LS
-
--2
4
3
-8
-8
ОООО
Mark this and return
Save and Exit
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what is the value of x?
Answer:
80
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is 180 degrees, so:
x+(x-15)+(x-45)=180
x+x-15+x-45=180
3x-60=180
3x=240
x=80
pls help :((
i rlly appreciate it ^_^
FALSE
7Y= 1 --> Y= ⅐ NOT 7
so it can't be it's solution
103/8-9/14*14/17 please help thx
Answer:
12.3455882353
Step-by-step explanation:
(103/8) = 12.875
(9/14) = 0.64285714285
0.64285714285 x 14 = 9
(9/17) = 0.5294117647
12.875 - 0.5294117647 = 12.3455882353
Solve: 2x - 10/4 3x
A-1 B2 C11 D-10
Answer:
x=-1
Step-by-step explanation:
Find the distance between points (4,-9) and (-2,6)
Answer:
16.1555
Step-by-step explanation:
what is 832 times 1 equal to?
Answer:
832
Step-by-step explanation:
If you have one group of 832, and put it into 1 group you get 832
You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.
What is a unit rate that describes your juice?
CLEAR
CHECK
12 ounces of water per ounce of juice mix
ſ ounce of water per ounce of juice mix
3 ounces of water per ounce of juice mix
36 ounces of water per ounce of juice mix
Answer:
3 ounces of water per ounce of juice mix
Step-by-step explanation:
36/12=3
At 8:00 A.M., a train leaves a station and travels at a rate of 45 mph. At 9:00 A.M., a second train leaves the same station on the same track and travels in the direction of the first train at a speed of 61 mph. At 10:00 A.M., how far apart are the two trains?
I need help with this question real quick.
Answer:
The answer is D
Step-by-step explanation:
Alonzo used 5.3 in his model instead of .53
What is the equation of the line that passes through the point (-6,-4) and has a slope of 1/3
Answer:
[tex]y=\frac{1}{3}x-2[/tex]
Step-by-step explanation:
Given the information, we can use the point-slope form to find the equation for the line: [tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-(-4)=\frac{1}{3}x(x-(-6) )[/tex]
Isolating y and combining like terms gives us [tex]y=\frac{1}{3}x-2[/tex]
a cylinder has a volume of 78 cm what is the volume of a cone with the same radius and height
Answer:
Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3
Thanks!
Mark me brainliest!
Answer:
Volume (cone) = 26 cm³
Step-by-step explanation:
Given :-
Volume (cylinder) = 78 cm³
To Find :-
Volume (cone) with same height and radius
Solving :-
Find the equation for the volume of the cylinder.
πr²h = 78 cm³
But we know the volume of a cone is 1/3 of the volume of a cylinder.
=> Volume (cone) = 1/3 x 78
=> Volume (cone) = 26 cm³
Can the sides of a triangle have lengths 5, 14, and 15?
YES
OR
NO
Answer: Yes, a triangle can have sides of those lengths.
Step-by-step explanation:
Practice Exercise 1:
1. Given the polynomial functionp(x) = 12 + 4x - 3x2 – x3, find
(a) The degree of the polynomial
(b) The leading coefficient
(c) The constant term
(d) The number of zeroes
Answer:
Step-by-step explanation:
A
HOW MANY BRAINLIES POINTS SHOULD I MAKE THIS QUESTION???
PHOTO ATTACHED
a) Which country had the lowest number of overall medals among the ten countries?
b) Which country/countries competed in the least number of games?
c) What is the mode in the number of games countries participated in?
d) What is the range between the gold medals awarded to the 10 countries?
e) How many countries got more silver medals than bronze medals?
f) Apart from the United States, which country/countries got more gold medals, more silver medals and more bronze medals than Great Britain?
g) In comparing the number of games a country participated in and the overall number medals received, which country did the best (ie highest number of metals recived per game )? Show your work
h) Using the given Data, give TWO likely reasons why a country like Jamaica does not feature in the top 10 medals even though it does very well in athletics.
i) Using the given information, determine the medal category in which the United states far outperformed its closest competitor. Show your work.
j) Which 3 countries had the most evenly distributed number of goals. Silver and bronze medals (i.e. least smallest range)? Show your work.
Answer:
I think it should be 30-40 brain points, because there's too much questions.
What’s equivalent expressions to y(6+7)
equivalent expression
y (6+7) = 13y
Answer:6y+7y or 13y
Step-by-step explanation:
y multiply 6 is 6y
y multiply 7 is 7y
Therefore it can be 6y+7y and if u solve it would be 13y
Find the equation of the line passing through (-4,-2) and having a slope of 0.
Using the point-slope form:
⇒ [tex](y-y0) = m(x-x0)[/tex]
Which require one point (x0,y0) on the line and the slope (m)
(x0,y0) --> (-4,-2)m --> 0Thus let us plug int the value
[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]
Thus the equation of the line is y = -2
Hope that helps!
PLEASE HELP! GIVING BRAINLIEST!
You have a piece of canvas that you want to paint. You have enough paint to cover
252 square inches. You know you want one side to be 14 inches. How long should
the other side be if you want to use up all the paint?
show your work
Answer:
18 inStep-by-step explanation:
The area = 252 in²
One side = 14 in
The other side = x
The area of a rectangle is a product of 2 sides
14x = 252x = 252/14x = 18 inAnswer:
h = 18 in.Step-by-step explanation:
Area of a rectangular canvas = base x height (A = b*h)
where A = 252 in²
b = 14 in
find: height (h)
solution:
just plugin the values into the formula:
252 = 14 * h
h = 252 / 14
h = 18 in
Given f (x) = 5x + 1, find f(0).
Answer:
1
Step-by-step explanation:
5(0)+1=1 because 5x0=0 then add the 1
The value of the function f (x) = 5x + 1 at x equal to zero will be 1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given function is f (x) = 5x + 1. The value of the function at x equal to 0 will be calculated as below:-
f (x) = 5x + 1
f (0) = 5 x 0 + 1
f (0) = 0 + 1
f (0) = 1
Therefore, the value of the function f (x) = 5x + 1 at x equal to zero will be 1.
To know more about a function follow
https://brainly.com/question/25638609
#SPJ2
12 (2 -2)+32 = (x +6) +2
Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Remove parentheses.
12 (2 − 2) + 32 = [tex]x[/tex] + 6 + 2
Step 2: Simplify 2 − 2 to 0.
12 × 0 + 32 = [tex]x[/tex] + 6 + 2
Step 3: Simplify 12 × 0 to 0.
0 + 32 = [tex]x[/tex] + 6 + 2
Step 4: Simplify 0 + 32 to 32.
32 = [tex]x[/tex] + 6 + 2
Step 5: [tex]x[/tex] + 6 + 2 to [tex]x[/tex] + 8.
32 = [tex]x[/tex] + 8
Step 6: Subtract 8 from both sides.
32 − 8 = [tex]x[/tex]
Step 7: Simplify 32 − 8 to 24.
24 = [tex]x[/tex]
Step 8: Switch sides.
[tex]x[/tex] = 24
~I hope I helped you! :)~
What is the measure of WXX, and why?
Answer:
B
Step-by-step explanation:
The vertical triangles are not congruent which eliminates A and D, the equvilant of Z is U which = y
2x - 3y =26 3x – 4.5y =39 solve for x
ANSWER:9
Step-by-step explanation:
Answer:
[tex]x=13,\:y=0[/tex]
Step-by-step explanation:
Isolate x for 2x-3y=26: [tex]x=\frac{26+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{26+3y}{2}[/tex]
[tex]\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}39-0.1y=39\end{bmatrix}[/tex]
Isolate y for 39-0.1y=39: y=0
[tex]\mathrm{For\:}x=\frac{26+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=0[/tex]
[tex]x=\frac{26+3\cdot \:0}{2}[/tex]
[tex]\frac{26+3*0}{2}=13[/tex]
[tex]x=13[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=13,\:y=0[/tex]
PLEASE HELP❤️❤️❤️❤️❤️❤️❤️
Answer:
9.10938
Step-by-step explanation: