Line R is represented by the equation y=x+2. Line S is perpendicular to Line R and passes through
the point (-60). What is the equation for Lines?
Answer:
C
Show your work:
A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C
I used your picture since your Question does not match the picture.
PLZ HELP IF POSSIBLE ASAP
Answer:
907.46 ft²
Step-by-step explanation:
Area of a full circle = πr²
Area of a quarter circle would therefore = ¼(πr²)
Where,
r = 34 ft
π = 3.14
Area of quarter circle = ¼(3.14 × 34²) = ¼(3,629.84)
Area of quarter circle = 907.46 ft²
Lucas wants to have at least $4,000 in his account. He has $2,500 to deposit into an account that earns simple interest at a rate of 6%. What is the fewest number of years it will take Lucas to reach his goal?
Answer:
6.25 years
Step-by-step explanation:
Simple interest = principal x time x interest rate
simple interest = $4,000 - $2,500 = $1,500
1500 = $4,000 x 0.06 x n
1500 = 240n
divide both sides by 240
n = 6.25 years
vertex form and standard form
Given:
The vertex of a quadratic function is (-5,-1) and it passes through the point (-2,2).
To find:
The vertex and standard form of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex]
Where, a is a constant, (h,k) is vertex.
The vertex of a quadratic function is (-5,-1). It means [tex]h=-5,k=-1[/tex].
[tex]f(x)=a(x-(-5))^2+(-1)[/tex]
[tex]f(x)=a(x+5)^2-1[/tex] ...(i)
The quadratic function passes through the point (-2,2). Putting [tex]x=-2,f(x)=2[/tex] in (i), we get
[tex]2=a(-2+5)^2-1[/tex]
[tex]2+1=a(3)^2[/tex]
[tex]3=9a[/tex]
[tex]\dfrac{1}{3}=a[/tex]
Putting [tex]a=\dfrac{1}{3}[/tex] in (i), we get
[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]
Therefore, the vertex for of the quadratic function is [tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex].
The standard form of a quadratic function is:
[tex]f(x)=Ax^2+Bx+C[/tex]
We have,
[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]
[tex]f(x)=\dfrac{1}{3}(x^2+10x+25)-1[/tex]
[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{25}{3}-1[/tex]
[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex]
Therefore, the standard form of a quadratic function is [tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex].
What is the solution 5y + 1 =31
Please answer right and don’t be a bot
Answer:
its SAS
Step-by-step explanation:
segment ST is is one side then PS and RD is another because of the line across both of those and angle S
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.
Answer: 79 and 14
X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.
please help me giving brainlest
help I don't get it
Answer:
Check to see if each input value is paired with only one output value. If so, the table represents a function.
Yes. It is a function.
Step-by-step explanation:
The library is 4 miles from the post office. How many yards is the library from the post office? The library is yards from the post office.
Answer:
7040 yards
Step-by-step explanation:
Because 1 mile = 1760 yards. So 4 x 1760 = 7040.
Answer:
7040 I think
Step-by-step explanation:
sorry if I'm wrong
I NEED HELP WITH THIS QUESTION THANK YOU
Answer:
hey,i can answer the question but i cant really see the coordinates
Step-by-step explanation:
1. Add: 85 + (-96) *
2. Subtract: -7 – 4 *
3. Multiply: 7(-12) *
4. Divide: 6÷ (-18) *
Answer:
1 ._11
2.11
3._84
4._0.333
32 oz = _______ lb
Please answer the question
Answer:
2 lb
Step-by-step explanation:
1lb = 16 pounds.
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
A windowpane is 16 inches tall and the diagonal distance from one corner to the other is 20 inches . How wide is the windowpane ?
:)
Please I need help give you brainlist rate you heart you lol
I
Answer:
Y=1.50
Step-by-step explanation:
For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others
1) 4x1.50= 6.00
2)5.00/1.50= 3 and 1/3
Solve for x if 5 - x = 6
A) 1
B) No solution
C) -1
D) 5
Answer:
C
Step-by-step explanation:
5 - 1 = 4
5 - 5 = 0
5 - -1 = 6
I hope this helps but the answer most likely is C
Answer:
I think it's letter C ..........
Math help 20 pointsssssssss
Answer:
Function A
Step-by-step explanation:
Answer:
Function A?
Step-by-step explanation:
Consider the expression 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2 select the equivalent expression in standerd form
Answer:
[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]
Step-by-step explanation:
Given
[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]
Required
Simplify
[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]
Open both brackets
[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]
This gives
[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]
Translate the description as an algebraic expression:
the sum of 11 cubed and a
Answer:
a + [tex]11^{3}[/tex]
or
a + 1331
Step-by-step explanation:
The sum of 11 cubed and a
[tex]11^{3}[/tex] + a
or
1331 + a
HELP PYTHAGOREAN THEOREM plssss ASAP
Answer:
[tex]2\sqrt{51}[/tex]
Step-by-step explanation:
first, you have to look pythagoras theorem (in picture)
then; x² + 14² = 20²
x² + 196 = 400
x² = 204
x = [tex]\sqrt{204}[/tex] = [tex]2\sqrt{51}[/tex]
Hope this helps ^-^
The length of the unknown side ( x )
Solution:We'll have to use pythagoras Theorem.
[tex]\huge\boxed{\sf{Formula: {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]
In this question hypotenuse is given so we'll have to subtract.
Let the unknown be "x"
[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
[tex] {x}^{2} = {20}^{2} - {14}^{2} [/tex]
[tex]x = 204[/tex]
[tex] {x}^{2} = \sqrt{204} [/tex]
[tex]x = 14.28285686[/tex]
[tex]\large\boxed{\sf{x = 14.3 \: (nearest \: tenth)}}[/tex]
Hence, the unknown side of the given triangle is 14.3
Help please it’s due soon
Answer:
y = 12,58 unitsStep-by-step explanation:
y = opposite
15 = hypotenuse
θ = 57°
therefore we use sin
sinθ = opposite/hypotenuse
sin57° = y/15
y = 15sin(57°)
y = 12,58 units
_________________
#StayPositive - kexcvi
Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4
Answer:
y < 1
Step-by-step explanation:
the value of y in the whole part is less than or equal to 1.
help i’ll give brainliest
Answer:
B and F are congruent tell me if its wrong
Step-by-step explanation:
Answer:
∠ B and ∠ F
Step-by-step explanation:
Given that
EFGH and ABCD are congruent then corresponding angles are congruent.
Then ∠ B and ∠ F are corresponding and congruent
Find the area of a circle with a diameter of 12 cm.
Use π = 3.14 in your calculations.
A
37.68 cm²
B
113.04 cm²
C
144 cm²
D
452.16 cm²
Answer:
B
Step-by-step explanation:
The formula for area for a circle is [tex]a = \pi[/tex] x r^2
Please help, I’ll mark you as brainliest!!!!!
Answer:c
Step-by-step explanation:
Can someone solve for x and y please
Answer:
both ansers are 2.7
Step-by-step explanation:
This is an 45˚, 45˚, 90˚ so the two smaller sides are equal so x=5.4.
the hypotenuse is always sqrt2 times bigger than the smaller sizes so y=[tex]5.4\sqrt{2}[/tex]
From - 12 surface sea level, a submarine descends 20 feet per minute. Where is the submarine in relation to sea level 7 minutes after it starts descending?
Answer:
-152 feet in relation to sea level.
Step-by-step explanation:
If it descends 20 feet per minute, you just multiply the distance by the minutes. So 20x7 and you will get 140. You can't forget that it's already -12 below sea level, so it's 12 feet deeper. It's -152 feet in relation to sea level.
Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x
Answer:
change the date of 4images and the giant is the quiz on my essay
Step-by-step explanation:
you wanna play 3rd party or something else do it was 4th day