Answer:
idea how to tell your loved one how you feel? How about a love song?
please help me i will give 20 points for this question
Answer:
1. a. 2
b. -½
c. y - 3 = -½(x - 8) => point-slope form
y = -½x + 7 => slope-intercept form
2. a. -1
b. 1
c. y - 5 = 1(x - 3) => point-slope form
y = x + 2 => slope-intercept form
Step-by-step explanation:
1. (8, 3) and (10, 7):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (8, 3) = (x_1, y_1) [/tex]
[tex] (10, 7) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]
Gradient = [tex] \frac{4}{2} [/tex]
Gradient = 2
b. The gradient of the line perpendicular to this line = the negative reciprocal of 2
Negative reciprocal of 2 = -½
c. The equation of perpendicular line if it passes through the first point, (8, 3):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (8, 3)
Slope (m) = -½
Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - 3 = -½(x - 8) => point-slope form
We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:
Thus:
y - 3 = -½(x - 8)
y - 3 = -½x + 4
y - 3 + 3 = -½x + 4 + 3
y = -½x + 7
2. (3, 5) and (4, 4):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5) = (x_1, y_1) [/tex]
[tex] (4, 4) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]
Gradient = [tex] \frac{-1}{1} [/tex]
Gradient = -1
b. The gradient of the line perpendicular to this line = the negative reciprocal of -1
Negative reciprocal of -1 = 1
c. The equation of perpendicular line if it passes through the first point, (3, 5):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (3, 5)
Slope (m) = 1
Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).
Thus:
y - 5 = 1(x - 3) => point-slope form
We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:
Thus:
y - 5 = 1(x - 3)
y - 5 = x - 3
y - 5 + 5 = x - 3 + 5
y = x + 2
one class collects 8 1/4 pounds of recyclable materials. Another class collects 1 1/2
Step-by-step explanation:
what to find then??.........
Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
Answer:
Below,...
Step-by-step explanation:
They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...
Hope it helps,... Chow!
f(x) = Square root of quantity x plus seven. ; g(x) = 8x - 11 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x plus one
f(g(x)) = 8 Square root of quantity x plus seven - 11
f(g(x)) = 8 Square root of quantity x plus four
f(g(x)) = 2 Square root of quantity two x minus one
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt(x+7)
g(x) = 8x-11
f(g(x))=
Place g(x) in for x in the function f(x)
f(g(x)) = sqrt( 8x-11 +7)
= sqrt( 8x -4)
Factor out 4
= sqrt( 4(2x-1)
= 2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
Can someone please do this for me please
Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11
Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?
Answer:
1.9 poundsStep-by-step explanation:
To solve this divide the amount of sugar by the number of dollars:
19 pounds / 10 dollars = 1.9 pounds per dollarPer 10dollar she brought=19pounds
Per dollar
[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]
Write in decimals[tex]\\ \sf\longmapsto 1.9pounds[/tex]
What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
two triangles are similar what is x
Answer:
x = 10
Step-by-step explanation:
smaller triangle / bigger triangle = 20 / 28
hence,
3x / (4x+2) = 20/28
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x = 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
-2x + 4y = 10
3x - 2y = -7
A. Multiply the top equation by 2 and the bottom equation by 3.
B. Multiply the bottom equation by 2.
C. Multiply the top equation by -3.
O D. Multiply the top equation by 3 and the bottom equation by -2.
Answer:
Multiply the bottom equation by 2
if x^2=y^2+z^2
what does x equal?
Answer:
[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertyAlgebra i
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x^2 = y^2 + z^2[/tex]
Step 2: Solve for x
[Equality Property] Square root both sides: [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]18 cards are numbered from 11 to 29 if one card is chosen at random, what is the probability that if contains the digit
For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
1. Which of the following is an algebraic expression?
a. X+5= 7
b. 5-2x = 3
C. 5x +4- 2x
d. -2 = 3x + 1
1.
C. 5x + 4 - 2x is an algebraic expression
NEED EXPLANATION TOO! THANKS BESTIES
There are 3 different trains running to London. One train
leaves every 10 minutes, another leaves every 35 minutes,
and the last one leaves every 40 minutes. They first leave at
5:30am. What Time do they all leave again at the same time?
Answer:
2:50pm
Step-by-step explanation:
You have to find the least common multiple (LCM) between the 3 times. If you don't know what is the LCM, just say it and I'll try to explain for you in the comments.
10, 35, 40 have as LCM the number 560
So it means they'll leave together 560 minutes after 5:30am
One hour is 60 minutes, so we can divide 560 by 60 to find the time in hours:
560/60 = 9 hours and 20 minutes (the rest of the division will be the minutes)
So, they'll leave together at 2:50pm
the product of 7 and the quotient of 40 divided by 5 is
The quotient of 40 and 5
40÷5=8
=> Product of that number with 7 and 8
So number to find is : 7x8=56
The product of 7 and the quotient of 40 divided by 5 is 56.
What is the quotient?The quotient is the result which is derived by the division of two numbers.
For example, the quotient of 30 divided by 3 is 10.
What is the product of two numbers?The product is the multiplication of two numbers which is written as a*b.
For example, the product of 8 and 9 is 72.
Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.
The quotient of 40 divided by 5 is 40/5= 8
The product of 7 and The quotient of 40 divided by 5= 7*8= 56
Therefore the product of 7 and the quotient of 40 divided by 5 is 56.
Learn more about quotient
here: https://brainly.com/question/673545
#SPJ2
For the Parabolay = (x + 7)2 – 3. the equation for the Line Of Symmetry is
Answer:
Hello
Step-by-step explanation:
Axis of symmetry is vertical:
x=-7 (since (-7,-3) is the vertex)
Answer:
x = -7
Step-by-step explanation:
y = (x+7)^2 -3
This is in vertex form
y =a(x-h)^2+k where (h,k) is the vertex and the line of symmetry for a vertical parabola is x=h
y = (x- -7)^2 -3
x = -7
Helpppppppppppppppppppppppp im not smart pls don't just say some bull i need help ill just get it deleted
Answer:
a. 6m
b. m-2
c. 5(m-2)
d. 6m +5m -10= 56
E. 11m=66
divide by 6: m=6
Maple Granola= 6$
Apple Granola= 4$
Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Will mark brainliest!
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]
X - 3/8 = 13/2
Add 3/8 to both sides:
X = 13/2 + 3/8
Rewrite 13/2 to have 8 as the denominator:
13/2 x 4 = 52/8
X = 52/8 + 3/8
X = 55/8
Answer:
55/8
Step-by-step explanation:
Add 3/8 to both sides
X - 3/8 = 13/2
X = 13/2 + 3/8
make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8
X = 52/8+3/8
X= 55/8
Solve for the measure of angle QSR, given b=136.
The calculated measure of the angle QSR is 68 degrees
How to solve for the measure of angle QSRFrom the question, we have the following parameters that can be used in our computation:
Angle b = 136 degrees
The measure of angle QSR can be calculated using
QSR = 1/2 * Angle b
substitute the known values in the above equation, so, we have the following representation
QSR = 1/2 * 136 degrees
Evaluate
QSR = 68 degrees
Hence, the measure of angle QSR is 68 degrees
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
A person can run 3 miles per minute. (Convert to miles per hour to decide.)
O True
O False
it depends upon a persons pace a average pace is 9-10 mins
Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE HELP NEED DONE ASAP WILL GIVE BRAINLIEST
Answer:
4x+y=-32
Step-by-step explanation:
given,
slope (m) = -4
point: (-8,0)
as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]
so,
b = 0-(-4)×(-8) = -32
y=mx+b
or, y=-4x-32
or, 4x+y=-32
(this is the standard form of the line)
Using the equation y - y1 = m(x - x1)
y - 0 = -4(x - (-8))
y = -4(x + 8)
y = -4x - 32
3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
_____
Additional comment
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
Answer:
(a) 42.3°
Step-by-step explanation:
Convert 75 mg into gram
Answer:
[tex]{ \tt{1 \: mg = 1 \times {10}^{ - 3} \: g}} \\ { \tt{75 \: mg = (75 \times 1 \times {10}^{ - 3} ) \: g}} \\ { \bf{ = 75 \times 10 {}^{ - 3} \: grams}} \\ { \bf{ = 0.075 \: grams}}[/tex]
y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?
Answer:
To find the leading coefficient, first expand the function:
[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]
The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².
To find the vertex: see image below
Vertex = (-3, -5)
I'LL GIVE BRAINLIEST !!! FASTERR !
Answer:
Option A, 86°
Step-by-step explanation:
each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°
now, a+b+c+d-94° = 180°-94° = 86°
Answer:
D 266°
Step-by-step explanation:
a+b+c+d-94°
90°+ 90°+ 90°+ 90° -94°
360°-94°
266°
find the derivative of y=x²+3x
Answer:
[tex]\frac{dy}{dx}[/tex] = 2x + 3
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
y = x² + 3x
[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{(2-1)}[/tex] + 3[tex]x^{(1-1)}[/tex]
= 2x + 3[tex]x^{0}[/tex]
= 2x + 3