Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
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.
Learn more about the equation of line visit:
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evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
Solve the equation for x.
2 x/3 = 100.6
A) x ≈ 2.22
B) x ≈ 19.96
C) x ≈ 0.41
D) x ≈ 6.65
Answer:
150.9
Step-by-step explanation:
2/3x=100.6
x=100.6/(2/3)
x=100.6(3/2)
x=150.9
Answer:
It is answer B
Step-by-step explanation:
find the simple interest principle 950 interest rate 12% time 4 years
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!
SOMEONE HELP PLEASE!IM SO CONFUSED
9514 1404 393
Answer:
arc MKL ≈ 19.02 m
Step-by-step explanation:
The figure shows angle KNL is the complement of angle KNJ, so is ...
∠KNL = 90° =∠KNJ
∠KNL = 90° -52° = 38°
We know that KM is a diameter, so arc MJK = 180°, and ...
arc MKL = 180° +38° = 218°
In radians, that angle measure is ...
218° × π/180° rad = 109π/90 rad
An arc length is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the radian measure of the arc
For this problem, the radius is MN = 1/2MK = 5 m, and the length of arc MKL is ...
s = rθ
arc MKL = (5 m)(109π/90) = 109π/18 m
arc MKL ≈ 19.02 m
If a tree casts a 24 foot shadow while a yardstick casts a 2 foot shadow what’s the height of the tree ? Need help please ASAP
Answer:
The tree is 12 yards tall
Step-by-step explanation:
The length and width of a rectangle are 1/6 inches and 3/8 inches. What is the perimeter (in inches) of the rectangle?
Answer:
1 1/12inches
Step-by-step explanation:
Given
Length = 1/6 inches
Width = 3/8 inches
Perimeter of the rectangle = 2 (Length + Width)
substitute
P = 2(1/6 + 3/8)
P = 2(4+9/24)
P= 2(13/24)
P = 26/24
P = 1 2/24
P = 1 1/12inches
hence the perimeter of the triangle is 1 1/12inches
A rectangle swimming
pool was 9 meters wide.
What is the length of the
pool if the area is 208
square meters?
An envelope from the post office is 3 inches wide with a total area of 21 inches. What is the height of the envelope?
Answer:
question 1: 23.111.etc question 2: 7
Step-by-step explanation:
208/9=23.11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111112
question 2: 21/7=3 answer:7
WILL GIVE BRAINLIEST
The answer is 7 !
Step-by-step explanation:
25 + 5 + 5 + 5 + 5 + 5 + 5 +5 =60
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
What is the expression of the statement " taking away 3 from four times y” ?
(a) 4y+3 (b) 3y = 4 (c) 4y - 3
Step-by-step explanation:
Join the Meet ❤️
Códe to joín :- eqt-kuxy-dpe
Everyone Can Jóin
Answer:
(C) 4y - 3
Step-by-step explanation:
"Taking away" is (-)
Four times y is 4×y or 4y
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?
3. Jaselle earned $80.00 raking leaves. This is 8 dollars more than 4 times the amount that Dillon
earned. How much did Dillon earn?
(25 Points)
Answer:
Step-by-step explanation:
So, Jaselle has $80.00.
This is 8 dollars more than 4 times the amount that Dillon
earned.
$80.00 - 8.00 = $72.00
4 Times average amount = $72.00
Average (begining amount) = $18.00
I HOPE THIS HELPS :3
Solve for x by completing the square. Round ur answer to the nearest thousandth. X^2+6x-3=0
Answer:
x = 0.375
it is already rounded to the nearest thousandth.
If barak spend 20$ at the mall. That represents 16% of the money he earned at the pizza parlor . How much money did barack earn
Answer:
$125
Step-by-step explanation:
20 is 16% of what number?
20 = .16n
n = 20/.16 = 125
HELP ME TIMED PLZZ !!!
Answer:
There are 77 more third graders than second graders.
Step-by-step explanation:
415-338=x
x=77
Answer:
the answer is 77
Step-by-step explanation:
415-338 = 77
If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?
Answer: 12
Step-by-step explanation:
Given
The probability of getting yellow color is 0.24
If the no of trials is 50
[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]
Yellow color appears 12 times
In a group of 100 students, 60 are freshman, 55 are female, and 22 are female freshman. Find the probability that a student picked from this group at random is either a freshman or female
Answer:
93/100
Step-by-step explanation:
In a group of 100 students, 60 are freshman, 55 are female, and 22 are female freshman. Find the probability that a student picked from this group at random is either a freshman or female
Number of Freshman = 60
Number of female = 55
Number of Freshman female 22
Total number of students = 100
The probability that a student picked from this group at random is either a freshman or female
Thus P(freshman or female) = 60/100 + 55/100 - 22/100 = 93/100
Given Brainly to who ever help
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
What number is 50 % of 6/5
Answer:
3/5.
Since the numerator is an even number, you can simply remove half of it.
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35 degrees . Find the height of the tree and show your work please.
Answer:
33
Step-by-step explanation:
1) A circle has a diameter of 16 cm. Find its circumference. (Use the calculator's value
of 7. Round your answer to the nearest tenth.).
Answer:
1) A circle has a diameter of 16 cm. Find its circumference=πd=π×16=16π=50.265=50.27=50cm
(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.
Answer:
80/320
Step-by-step explanation:
answer is given
Which equation is modeled on the number line?
A -7 -− 10 = -17 B 7 -− 10 = -3 C 7 -− (-10) = 17 D -7 -− (-10) = 3
Answer:
Option D
Step-by-step explanation:
For addition we move right on the number line and for subtraction we move left.
So, (-7) represents a 7 units to the left from the zero.
Then move 10 units right from (-7),
Therefore, (-7) + 10 = 3
Or (-7) - (-10) = 3
Option D is the correct option.
Find the length of midsegment JN in the trapezoid.
Answer:
JN = 18.6
Step-by-step explanation:
Theorem: The length of the midsegment of a trapezoid is the average of the bases.
[tex]JN = \frac{15.4 + 21.8}{2}[/tex]
[tex]= \frac{37.2}{2}[/tex]
= 18.6
See how easy that is when you know the theorem.
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
24.5 square feet
59.5 square feet
70 square feet
147 square feet
Combine the following: a+a+a+b+b+c
i really need help
help me plzzzzzzzzz
a + a + a is the same as multiplying a by 3 so you would have 3a
b + b is the same as multiplying b by 2 so you would have 2b
Combing everything together you would have the final answer of :
3a + 2b + c