Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5
Answer:
[tex]5x-4y+4=0[/tex]
Step-by-step explanation:
Given: A point which is perpendicular to the line .
To find: The equation of the line which passes through [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex].
Solution:
We have, [tex]4x+5y=5[/tex].
Slope of the line [tex]4x+5y=5[/tex] is [tex]-\frac{4}{5}[/tex].
The line which passes through [tex](-4, -4)[/tex] is perpendicular to the line [tex]4x+5y=5[/tex].
Now, the product of the slopes of two perpendicular lines is [tex]-1[/tex].
Therefore, [tex]m\times-\frac{4}{5}=-1[/tex]
So, its slope is [tex]\frac{5}{4}[/tex].
Now, the equation of the line which passes through [tex](-4, -4)[/tex] and slope [tex]\frac{5}{4}[/tex] is:
[tex]y-(-4)=\frac{5}{4} [x-(-4)][/tex]
[tex]\Rightarrow y+4=\frac{5}{4} (x+4)[/tex]
[tex]\Rightarrow 4(y+4)=5(x+4)[/tex]
[tex]\Rightarrow 4y+16=5x+20[/tex]
[tex]\Rightarrow 5x-4y+20-16=0[/tex]
[tex]\Rightarrow 5x-4y+4=0[/tex]
Hence, the equation of the line that contains the point [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex] is [tex]5x-4y+4=0[/tex].
Solve the following equation by completing the square
x^2+4x-4=0
Answer:
x = ±2[tex]\sqrt[]{2}[/tex]-2
Step-by-step explanation:
x^2+4x-4=0
x^2+4x=4
x^2+4x+4=4+4
(x+2)^2=8
x = ±2[tex]\sqrt[]{2}[/tex]-2
Confused abt this problem plz help it’s due at 12 :)
Answer:
The correct answer is Emmitt.
Step-by-step explanation:
no time to explain, you need this finished, also next time don't wait too late to do work, just saying ;)
What is the midpoint between (-8, 5) and (2, -2)?
(-5, 1.5)
(-6, 3)
(-3, 1.5)
(-5, 3.5)
Answer:
A. (-5, 1.5)
Step-by-step explanation:
Madison is saving nickels. She saves 1 nickel the first day, 2 nickels the second day, 3 nickels the third day, and so on for 15 days. At this rate, how much money will she save over the 15 day period
Answer:
$6
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
there's 10
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15
1 + 9 = 10
10 + 10 = 20
2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15
2 + 8 = 10
20 + 10 = 30
3, 4, 5, 6, 7, 11, 12, 13, 14, 15
3 + 7 = 10
30 + 10 = 40
4, 5, 6, 11, 12, 13, 14, 15
4 + 6 = 10
40 + 10 = 50
5, 11, 12, 13, 14, 15
5 + 15 = 20
50 + 20 = 70
11, 12, 13, 14
11 + 14 = 25
70 + 25 = 95
12, 13
12 + 13 = 25
95 + 25 = 120
she would 120 nickels which is
120 x 5 = 600 cents or $6
3(x-1) - 8 = 4(1+x) +5
Answer:
x=-20
Step-by-step explanation:
3x-11=4x+9
3x=4x+20
x+20=0
x=-20
Tatăl Mariei i-a oferit acesteia 2 opțiuni pentru banii de buzunar: 1/4 din €5 sau 1/2 din €5. Care opțiune ar însemna mai mulți bani?
Answer:
1/2 din 5 €
Step-by-step explanation:
Opțiunea 1
1/4 din 5 €
= 1/4 × 5 €
= 1,25 €
Opțiunea 2
1/2 din 5 €
= 1/2 × 5 €
= 2,5 €
Prin urmare, opțiunea care ar însemna mai mulți bani este 1/2 din 5 €
(a) 5.33 cm
(b) 6.33 cm
(c) 7.33 cm
(d) 8.33 cm
SORRY GUY'S OPTION GLT AA GYE THE PHLE VALE QUES MEI.....SO.....
Answer:
es la b 6.33 amigo ;) adios
PLEASE HELP ASAP!! ITS DUE VERY SOON AND THIS IS MY LAST QUESTION. ILL MARK YOU THE BRAINLIEST
Answer:
can you show it a bit closer?! i cant read it
Step-by-step explanation:
HELP PLEASE AND NO LINKS!!!!!!
The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.
Answer:
Step-by-step explanation:
Width =x
Length = 2*x = 2x
Diagonal = 5√5
Use Pythagorean theorem
Length² + Width² = diagonal²
(2x)² + x² = (5√5)²
{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}
4x² + x² = 75
5x² = 75
x² = 75/5
x² = 15
x = √15
Width = √15
Length = 2√15
Area of rectangle = length *width
= √15 *2√15
[tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]
= 30 square units
$800 invested at 5.25% simple interest for 4 yrs.
Answer:
14 dollars.
Step-by-step explanation:
With annual interest rate, 5.25 interest rate is $14.00
Answer:
$968
Step-by-step explanation:
800 × 0.0525 × 4 = 168 (interest)
168 + 800 = 968 (total)
easy 25 points!!!!!!!!!
look at the picture provided, find G
Answer:
There right there u don't see it?
Find the volume of a hemisphere : diameter = 20 m
Round to the nearest tenth.. Single choice.
2093.3 cubic meters
4186.66 cubic meters
4186.7 cubic meters
2093.33 cubic meters
Answer:
40
4186.66
Step-by-step explanation:
hiii please help i’ll give brainliest thanks
Answer:
The answer is 5 beecause coefficients are the number when you multiply a number and a variable. For example 5a the coefficient in that term is 5 if you have 48e the coefficient is 48. So the coefficient is the number when you multiply a number times a variable.
find x...............
Answer:
x=2
Step-by-step explanation:
1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)
2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)
3. 9x=6x+6 (Add 3 to each side)
4. 3x=6 (Subtract 6x from each side)
5. x=2 (Divide each side by 3)
let me know if i did anything wrong, hope this helps!!
8. The price of a new gaming PC was increased from $280 to $364. By what
percentage was the price of the gaming PC increased?
Answer:
i believe it would be about 26 percent
Step-by-step explanation:
SORRY IF ITS WRONG BRO BRO
True or false please
It goes completely diagonal so True
Have a good day!
(It also has matching points at the middle if you need more evidence XD)
Which shows a rational number plotted correctly on a number. line
Answer:
If this is the question you are referring to, then the answer is B, which is already highlighted for your convenience.
Answer:
a
Step-by-step explanation:
what are the coordinates of the yellow square
Can anyone please tell me if they did this page and found the answers????
Answer:
tor ba kita oisa kobic and yyio
Find the area-of the shaded region. help i have a test
Answer:
363/8π yd²
Step-by-step explanation:
The total area of the circle = πr²
the area of the shaded region = 135/360 × πr² = ⅜ πr² = ⅜ π × 11² = 363/8 π ≈ 136.125 yd²
1. An investor deposits $1000 in an account that promises an annual interest rate of 5%,
compounded at the end of each year. How much will be in the account after seven years?
Answer:
$1,407.10
Step-by-step explanation:
1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10
Robert is painting a portrait. He is using a canvas that has a width of 12 inches and a height of 16 inches. Find the location of a focal point on the portrait using the golden ratio
Answer:
0.56 inches from the vertex of the canvas
Step-by-step explanation:
Golden ratio can be interpreted as
B / A = ( A + B ) / B ----- ( 1 )
A = smaller side = 12 inches
B = larger side = 16 inches
Back to equation 1
16 / 12 = ( 16 + 12 ) / 16
4 / 3 ≠ 7 / 4
The Golden ratio can not be applied because the rule is not obeyed
The focal point can be determined as :
( longest width / 2 )= 12 / 2 = 6^ 2 = 36 ---- 2
(4* depth) = 16 * 4 = 64 ---- 3
hence the focal point ( 2 / 3 ) = 36 / 64 = 0.56 inches from the vertex of the canvas
Directions: Foil the following if the answer is not standard form then standardize it.
Equation: (x+4) (4x−5)
HELP!!! A scientist needs 10 litters of 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs
Answer:10 liter * 20%= x liter*40% + (10- x) liter*5%
10l * 20%= x liter * 35% + 10 liter*5%
x liter *35 = 10l * 20 - 10l *5= 10l*15
x liter = 10l *15/35= 4.28 L= 4.3L
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L- 4.3L= 5.7L
Step-by-step explanation:
In this question, you want to make 10 liters 20% concentration solution by mixing 5% and 40% concentration. There should be multiple answers to this question. Assuming that the total volume of 5% and 40% solution equal to 10L(no solution wasted), then you can determine the volume of solution needed. The formula should be:
What is 34 +(23 +3)-82
Answer:
-22
Step-by-step explanation:
26-82=-56
-56+34=-22
Answer:
-22
Step-by-step explanation:
34+(23+3)-82
=34+26-82
=34-56
=-22#
Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?
Answer:
95°Step-by-step explanation:
Straight angle is 180°
JKL = MKL + JKM180° = 85° + xx = 180° - 85°x = 95°Select all ordered pairs that are located in the third quadrant of the coordinate grid.
a) 2, -8
b) -3, -1
c) 5, 4
d) -4, -6
Please help. Also please show your work. Y/5 - 2/5
Answer:
0.2(y-2)
Step-by-step explanation:
factor out 1/5 from the expression
1/5×(y-2)
0.2(y-2)
What was the main purpose of the Declaration of Independence?
Answer:
The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.
Step-by-step explanation: