Answer:
$2100
Step-by-step explanation:
1/3 of 4500 is 1500
to find 1/3 of a number is to multiply by 1/3
1/3 * 4500 = 1500
$1500 is for savings
subtract 1500 from 4500
4500 - 1500 = 3000
the remaining money is $3000
to find 50% of something, divide by 2
3000/2 = 1500
$1500 is spent on food.
20% of 3000 is 600
to find 20% of something, multiply the decimal value (0.2)
0.2 * 3000 = 600
$600 are spent on rent.
$450 leftover
1500 + 600 = 2100
Food and rent cost $2100
hope this helps:)
X ⇒ ln (2)
e^3 x - 8/e^2 x - 4
Answer:
From the given ratio for
we found the values are



Step-by-step explanation:
Given the ratio for 
We have to find the rest of trignometric functions:

can be written as

Comparing equations (1) and (2) we get


Equating the coressponding numerator and denominator respectively
Therefore
and
We can find 

(since
)

We can find 

(since
)

To find
:





Answer:
x-intercept : None
y-intercept : (0, -24)
Vertex : (4, -8)
Focus : (4, -33/4)
Axis of Symmetry : x = 4
Directrix : y = -31/4
Step-by-step explanation: Use the vertex form to determine the values of a, h, and k and use these values to find the direction the parabola opens, vertex, focus, axis of symmetry, and directrix.
Hope this helps you out. If not, comment and let me know what you were wanting and looking for.
Answer:
iven, the vertices of the triangle,
A=(1,2)
B=(2,6)
C=(3,−4)
Slope of AB
=x2−x1y2−y1=2–16−2=14=4
Slope of CF
= Perpendicular slope of AB
=
Slope of AB
−1 =−14
The equation of CF is given as,
y–y
1
=m(x–x
1
)
y+4=−14(x–3)
4y+16=−x+3
x+4y=−13 ——————————– (1)
Slope of BC
=
x
2
–x
1
y
2
–y
1
=
3–2
−4–6
=
1
−10
=−10
Slope of AD
=Perpendicular slope of BC
=
Slope of BC
−1
=
−10
−1
=
10
1
The equation of AD is given as,
y–y
1
=m(x–x
1
)
y+2=
10
1
(x–1)
10y+20=x–1
x–10y=21 ——————————– (2)
Subtracting equation (1) and (2),
x+4y=−13
−x+10y=−21
——————
14y=−34
y=−2.429
Substituting the value of y in equation (1),
x+4y=−13
x+4(−2.429)=−13
x–9.714=−13
x=−3.286
Orthocenter =(−3.286,−2.429)
Step-by-step explanation: