Answer:
The distance between their tops is 130 feet
Step-by-step explanation:
The given parameters are;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10
The distance between the two buildings, d = 120 feet
The height of B, [tex]h_B[/tex] = 60 feet
Therefore, we have;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet
The height of A, [tex]h_A[/tex] = 110 feet
By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)
Substituting the values gives;
The distance between their tops = √((110 - 60)² + 120²) = 130
The distance between their tops = 130 feet.
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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Write the equation of the line y=(5)/(6)x+(7)/(6) perpendicular to
that passes through the point (-8,7)
Answer:
6x + 5y + 13 = 0.
Step-by-step explanation:
y = 5/6x + 7/6
Gradient = 5/6
Since the line is perpendicular to y = 5/6x + 7/6
then its gradient is -6/5.
Hence its equation is: point (-8,7).
y - 7 = -6/5(x -(-8))
multiplying through by 5 we get;
5y - 35 = -6(x + 8)
5y - 35 = -6x - 48
6x + 5y + 13 = 0
is y=.75x+2 proportional or non proportional
Answer:
non proportional
Step-by-step explanation:
Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?
Answer:
16.225
just times 2.5 times 6.49
I need someone’s help please I don’t know this that well
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
In the equation a= 3/b is a positive, real number. As the
value of b is increased so it becomes closer and closer to
infinity, what happens to the value of a ?
Answer:
The value of a tends to zeroStep-by-step explanation:
Given the expression a = 3/b
as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;
If b = ∞
a = 3/∞
a = 0
Note that for any constant value a, the ratio a/∞ will always tends to zero
How much do you need to subtract from 43/10 to make 4?
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
Find the value of x. The diagram is not to scale.
a. x = 40
b. x = 23
c.x= 13
d. none of these
Answer:
d. none of these
Step-by-step explanation:
A sprinter travels a distance of 100 m in a time of 11.21 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Use intercepts to graph the line described by the equation 5x − 5y = 10.
isolate the variable on the following problem. show your work.
11=c/5
−3x+8<15 please help
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
solve : 3 under root a/b
which expression is equal to 5/2? Write a situation that could represent the fraction above.
Answer:
3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?
Step-by-step explanation:
All you do is you find a problem that would give you 5/2 then create a word problem.
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
The following triangle shows the length of each side using expressions.
2n +7
2n +7
3n
a. Write an expression in simplest form to represent the perimeter of the triangle above. Show all work.
b. If n = 8, find the perimeter of the triangle. Show all work.
Can someone explain how to solve this?
Answer:
here you go. hope this helps!
Plz help btw the second one has the same options .
Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
Given x:y:z = 7:2:5 and the value of
x - z =18. Find the value of x+y+z.
Diberi x:y:z = 7:2:5 dan nilai x - 2 =18.
Cari nilai bagi x+y+z
A 14
B. 126
C. 210
D. 232
Answer:
x + y + z = 123
Step-by-step explanation:
x:y:z = 7:2:5
Let x = 7a, y = 2a, z = 5a
Since x - z = 18
Therefore,
7a - 5a = 18
2a + 18
a = 18/2
a = 9
7a = 7*9 = 63
2a = 2*9= 15
5a = 5*9 = 45
x + y + z = 63 + 15 + 45
x + y + z = 123
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
Find the length of side x in simplest radical form with a rational denominator
Answer:
The length of x=3/1
Step-by-step explanation:
Given the right triangle
Ф = 30
We know that
sin Ф = opposite/hypotenuse
The opposite of angle 30° = x
The hypotenuse is = 6
so
sin 30 = opposite/hypotenuse
1/2 = x/6 ∵ sin 30 = 1/2
1/2 × 6 = x
6/2 = x
3/1 = x
Therefore, the length of x=3/1
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
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A rhombus is graphed
on the set of axes below.
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
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URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
9514 1404 393
Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.
Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Answer:
20 apples and 10 orangesStep-by-step explanation:
Let amount of apples be x and oranges be y
Then we have:
x + y = 303x + 4y = 100Subtract triple of the first equation from the second one:
3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10Then finding x
x = 30 - 10 = 20So apples = 20, Oranges = 10
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
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Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4
Answer:
The value of each expression when x=3 will be -20 and -20.
Step-by-step explanation:
Given the expression
-4x-8
setting x=3
= -4(3)-8
=-12-8
=-20
Given the expression
-2(x+1)-2(x+3)
setting x=3
=-2(3+1)-2(3+3)
=-2(4)-2(6)
=-8-12
=-20
so we conclude that the value of both the expressions was -20 when we substituted the value x=3.
Therefore, the value of each expression when x=3 will be -20 and -20.