14. Kathy lives directly east of the park. The football field is directly south of the park. The library (1 point) sits on the line formed between Kathy's home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.
Park
Home
9 miles
Library
12 miles
Football field
a. How far is the library from the park?
b. How far is the park from the football field?
6.√3 miles; 6.7 miles
6.7 miles: 6.3 miles
√33 miles. √21 miles
√21 miles, √33 miles
Answers
Answer:
(a) 6√3, 6√7
Step-by-step explanation:
The right triangles shown are all similar, so corresponding sides are proportional. This gives rise to three "geometric mean" relations between the various lengths.
Geometric mean relationsUsing P, F, L, and H to represent the points marked Park, Football field, Library, and Home, the relations are ...
PF/FH = FL/PF ⇒ PF = √(FH·FL)
PL/FL = HL/PL ⇒ PL = √(FL·HL)
PH/HL = HF/PH ⇒ PH = √(HL·HF)
Application(a) The distance from the park to the library is ...
PL = √(FL·HL) = √(12·9) = 6√3 . . . miles
(b) The distance from the football field to the park is ...
PF = √(FH·FL) = √(21·12) = 6√7 . . . miles
Related Questions
1. The Clock
[tex] \sqrt{81} [/tex]
Answers
Explanation I think
Leah puts together gift bags of toys to sell at the flee market. She places exactly 6 toys in each bag. She only sells full bags of toys Leah has 280 toy cars. She can fill 46 toy cars Part B Leah has enough toy trucks to fill 25 gift bags. How many toy cars and toy trucks were put in gift bags to sell at the flee market
Answers
Answer:
320 toy cars and 25 toy trucks
Step-by-step explanation:
k + 11 = -3k- 25 + 2k
Answers
Answer:
k = -18
Step-by-step explanation:
K+k+11=-25
K+k=-25-11
2k=-36
Divide both sides by 2
The answer is k=-18
If the sum of the interior angles of a polygon is 29160, how many sides does it have?
Answers
Answer:
fhuguyguy
Step-by-step explanation:
The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answers
Answer:
the answer will be x^3 + 2x^2 + 9x
Step-by-step explanation:
as :
volume = l* w* h
= X * (X + 2) * (X + 3)
= X ^ 2 + 2 X (X + 3)
= x ^2 (X + 3) + 2x (X + 3)
= x^3 + 3x +2x ^2 + 6x
= x^3 + 2x^2 + 9x
como simplificar 9/3
Answers
What is the value of y when the value of x is 1
Answers
What expression is equivalent to 1/3 x -1/5
Answers
4x - (-6) what’s the answer
Answers
Answer:
4x + 6
Step-by-step explanation:
If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!
Is 5 a solution to 3x=35
Answers
Answer:
No because 35/3 is 11.67 :))
Step-by-step explanation:
Hope this helped :)) Please mark brainliest:))
40 POINTS!
3. Suppose a point at (2,3) is translated to (7,-1). What rule describes this translation?
O A. (x, y) + (x + 5, y - 4)
O B.(z,y) → (2 – 5,y + 4)
O c.(x, y) = (x + 9,y - 2)
O D. (x, y) → (2 – 9,y + 2)
Answers
I need help ASAP !!
Find the length of a
Answers
Step-by-step explanation:
Please refer to the attachment
What’s 20 times 69?????
Answers
Answer:
1,380
Step-by-step explanation:
Answer:
20x69 = 1,380
NEED HELP AND RIGHT ANSWER DONT RUSH! REWARD BRAINLIEST
Answers
Answer:
1.) x = 49 or x = -49
2.) x = -1/2 or x = -5
5. Y = (2x+1) (x-5)
Please help, will mark brainliest, do not do for points or I will report, explanation please or no brainliest
Multiply.
2y - 1
2y + 1
4y^2 + 1
Answers
Answer:
to multiply-----
(2y-1)(2y+1)
2y(2y+1)-1(2y+1)
4y^2+2y-2y-1
=4y^2-1
what is the percent of change from 85 to 64
Answers
Answer:
-24.71%
Step-by-step explanation:
I don't understand this? help me! Linear functions 9th-grade math
Answers
Answer:B i think
Step-by-step explanation:
Kailey is thinking of two numbers. The larger number is equal to twice the smaller increased by 12. Two times the smaller number plus three times the larger is equal to 100. Let x = smaller number and y = larger number. What is the first equation in the system? Do not put spaces in your answer.
Answers
Answer:
y=2x+12
Step-by-step explanation:
We first double the smaller number (2x) and then increased it by 12 (+12), this makes the larger number y.
2x3(5-4)/6.2
Algebra
Answers
6/6.2 OR 0.627
Step-by-step explanation:
[tex] \frac{2 \times 3(5 - 4)}{6.2} [/tex]
6(1)/6.2 = 6/6.2 OR 0.627
Select all ordered pairs that satisfy the function y =
= 8x + 3
A.
(0,3)
B.
(-1, 43)
C.
(0, -45)
D.
(5, 43)
Answers
Answer:
A. (0,3)
Step-by-step explanation:
∆ has the coordinates (3, 1), (5, 2), (4, 3). ∆´´´ has coordinates (-1, 2), (1, 3) and (0, 4). Which choice describes the translation of ∆ to ∆´´? A +4 units in the direction of x and -1 units in the direction of y B -4 units in the direction of x and +1 units in the direction of y C +4 units in the direction of x and +1 units in the direction of y D -4 units in the direction of x and -1 units in the direction of y
Answers
Answer:
B -4 units in the direction of x and +1 units in the direction of y
Step-by-step explanation:
Given
[tex]A = (3, 1), (5, 2), (4, 3)[/tex]
[tex]A^{-1}= (-1, 2), (1, 3) (0, 4)[/tex]
Required
Determine the translation from A to A-1
Take (3,1) from A and (-1,2) fro A-1 as points of reference,
For translation to occur, we make use of:
[tex](3 + x,1+y) = (-1,2)[/tex]
By comparison:
[tex]3 + x = -1[/tex] and [tex]1 + y = 2[/tex]
Solve for x and y
[tex]3 + x = -1[/tex]
[tex]x = -1-3[/tex]
[tex]x = -4[/tex]
[tex]1 + y = 2[/tex]
[tex]y = 2 - 1[/tex]
[tex]y=1[/tex]
(B) is correct.
maths homework please help me
Answers
Answer:
sorry i dont know that im grade 6
Answer:
Which I marked they are wrong I think because they all came out of that lines
Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
C: w more than 5
D: 5 less than w
Answers
Answer:
The answer probably is A
el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?
Answers
Here is a polygon. Use the scale factor of 1/2 determine the new side length for A *
Answers
Answer:
i need to see the polygon my guy
Step-by-step explanation:
HELP QUICK. By combining three equations, it can be shown that a2+b2=c2. One of the equations is c=e+f. Which of the following could be the other two equations?
Answers
Answer:
bc=eb and ca=fa
please tell me if this is actually the right answer
Step-by-step explanation:
bc=eb and ac=fa is wrong
bc=eb and ca=fa is right
cb=eb and ac=fa is wrong
ba=eb and ab=fa is wrong
Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7
Answers
Answer:
the answer is B
Step-by-step explanation:
Answer: A. y = 5x -7
Step-by-step explanation:
Y - 5x = -7
+ 5x + 5x
Y = 5x - 7
**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.
‼️ PLEASEEE HELPP ‼️
Answers
Answer:
x=18
Step-by-step explanation:
When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say
4+x = 2(3x-43)
Solve that out to find that x = 18
Which expression is equivalent 10x+10
A.2x+5x+4x+5+5
B.2x+8x+1+3+6
C.5x+5x+2+4+4+1
D.2x+9x+5+5
(7th grade) Combing like terms.
Answers
Answer:
the answer to that question is letter A.2x+5x+4x+5+5
1. Three different scout troops have 12, 24, and 18 members. These troops must march together in a parade in
the same number of columns. What is the greatest possible number of scouts in each column?
9 scouts
b. 6 scouts
c. 8 scouts
d. 4 scouts
Answers
Answer:
Step-by-step explanation:
12 = 2^2*3
24 = 2^3*3
18 = 2*3^2
Greatest common factor = 6