Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
pls answer this .............
Answer:
Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always
Step-by-step explanation:
3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.
2x + 2x + 80 = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 25º
so then:
2x = 2*25
2x = 50º
and:
2x + 80 = 50 + 80
2x + 80 = 130º
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates
Answer:
Step-by-step explanation:
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2) = (-4. 2)
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.
Any hot topic online promo codes???
Someone please help me
Answer:
,
Step-by-step explanation:
all work shown and pictured
find the inverse of -3y+5x=18
Answer:
-3x +5y = 18
Step-by-step explanation:
The inverse relation is found by swapping x and y.
help please. thank you very much
Answer: Offer B because it will cost less.
Step-by-step explanation: Hope this helps :)
simplify the fraction 90/100
Answer:
9/10
Step-by-step explanation:
hope this helps
Answer:
9/10
Step-by-step explanation:
divide top and bottom by 10
find the quotient. (2^4x+4) ÷ (2^x+1)
Answer:
(16x/2^x+1) + (4/2^x+1
Step-by-step explanation:
the parentheses are there so you know the two arent beside each other
23/24 as a decimal rounded to the nearest hundredth
Answer:
95.80
Step-by-step explanation:
hope I helped BESTIEE
Answer:
Step-by-step explanation:
23/24 as a decimal is 0.95833333333333.
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
Answer: (5,1)
Step-by-step explanation:
Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x
Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?
Answer:180
Step-by-step explanation:
This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?
Answer:
he had $250.00 more at the end of lunch
Step-by-step explanation:
Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?
Answer:
0.627
Step-by-step explanation:
I will turn the word form of the number into decimal form backwards to make it easier:
7 is in the thousandths place
2 is in the hundredths place
6 in the tenths place
0 being in the ones place
That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D
what is the simplest from of the ratio 40:16 ?
Answer:
5 : 2
Step-by-step explanation:
40:16
Divide each side by 8
40/8:16/8
5 : 2
Answer:
5 :2
Step-by-step explanation:
40 : 16
= 40/16
= 4*10 / 4*4
= 10/4
= 5*2 / 2*2
=5/2
What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3
Answer:
this is the answer....
Answer:
x - (5 -sqrt149 ) / 4 and x- (sqrt149+5)/4 = = x - -4.3016389 and x - 4.3016389
Step-by-step explanation:
1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3) = (5/4x+3) = ( 1/2x^2-6 5/6) = (5/4x+3) convert 5/4 to 12ths = *3 = 15/12 and 5/6 * 2 = 10/12 = ( 1/2x^2-6 10/12) = (15/12x+3) = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0 = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2 (2)- 15/12x (2) -3 10/12 (2) = 0 = x^2 - 30 /12x -6 20/12 (2) = 0 simplify irregular fraction x^2 - 2 2/4x -7 3/4 = 0 then do the abc quadratic formula = x - (5 -sqrt149 ) / 4 and x- (sqrt149+5)/4 = x- -17.2065556/4 = x - -4.3016389 and 17.2065556/4 =x - 4.3016389
HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Need helppppppppppppppp
Answer: Try square root for the first one.
Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?
please help me!!! I'll give you 40 points.
construct the bisector of the following figures
Answer:
divide the given line into halves
Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?
Answer:
$11091.23
Step-by-step explanation:
Reword the situation:
She purchased a car for 18791 dollars 39 months ago.
As the 39 months passed she has been paying 197.43 a month.
How much does she still owe for her car?
First find out how much she's paid so far.
For 39 months she has been paying 197.43 a month
So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars
Now subtract amount she's paid so far from total price of car.
18791 - 7699.77 = 11091.23
She still owes 11091.23
A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?
A water sprinkler has a rotational motion in order to reach a broad area
from its stationary location.
The time it takes the sprinkler to reach the far right position is 36 seconds.
Reasons:
The given parameter are;
The angular speed of the water sprinkler, ω = 5° per second
Location where the sprinkler starts = The far left position
Required:
The time it takes the sprinkler to reach the far right position.
Solution;
The angle covered by moving from the far left to the far right, θ = 180°
Time required is given as follows;
[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]
Therefore;
[tex]t = \dfrac{\theta}{\omega}[/tex]
Which gives;
[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]
The time it takes the sprinkler to reach the far right position, t = 36 seconds.
Learn more here:
https://brainly.com/question/14753185
7x+14y−3y+12x+32y+54x+2x+8y
Answer:
it would be 75 + 51
hope this helps
136
Step-by-step explanation:
What is the coefficient of the first term in this expression?
4r+q3r2+8q2r
Answer:
4
Step-by-step explanation:
What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive
Answer:
B-NO CORRELATION.....
*HIGH SCHOOL* please help me with this
Answer:
Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.
It is given that <T=<Y and <V+<U=180 degrees
<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.
<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.
<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).
<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).
Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?
Answer:
Salami: $3.00
Ham: $ 8.00
Step-by-step explanation:
12 * 1/4 = 12/4 = $3.00
12 * 2/3 = 24/3 = $8.00
Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)
Answer:
34
26
8
Step-by-step explanation:
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE
Answer:
12.08-1.42=10.66
it takes 10.66 minutes on Thursday to run a mile
no link or bot answer the question
Answer:
480in
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6 * 8 = 48
48 / 2 = 24
because it's half a square
