Answer:
equation is 4x-4y= -16
Step-by-step explanation:
b = 4
x = -1
y = 3
so
x/a + y/b = 1
or, -1/a + 3/4 = 1
or, (-4 + 3a) = 4a
or, -4 = 4a - 3a
so, a = -4
now
x/a + y/b = 1
or, x/-4 + y/4 = 1
or, 4x-4y = -16
so
equation : 4x-4y = -16
Answer:
Answer is y=x+4
Step-by-step explanation:
Helllllppppp please????
Answer:
7.75
Step-by-step explanation:
(I'm assuming you need to find the missing side of the triangle)
To find missing values in a right angle. we will use the pythagoras theorem which states that:
h^2 = a^2 + b^2
16^2 = 14^2 + b^2
256 = 196 + b^2
256 - 196 = b^2
60 = b^2 (take sqaure root)
b= 7.75
Answer from Gauthmath
quickly answer i am in a rush!
Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
The distance traveled (in meters) by a frog is modeled by the equation d=0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes
Answer:
5 meters traveled in distance.
Step-by-step explanation:
Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.
Hope this helps!
Describe the relationship between the area of a circle and it’s circumference
Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.
Step-by-step explanation:
HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___.
Answer:
The polynomial simplifies to an expression that is a
quadratic trinomial with a degree of 2 .
Step-by-step explanation:
trial and error
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Find the value of each variable.
Step-by-step explanation:
180 - 37 = x angles on a straight line
x = 40
180 - 40 = y angles on a straight line
y = 140
180 - 140 = z angles om a straight line
z = 40
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Part C
Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
All three functions are defined as follows:
For function 1:
The module on the absolute value function instance example also is known as this function:
[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]
This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.
For function 2:
It is an algebraic function of in this function
It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.
For function 3:
The cubic polynomial equation is evaluated for in this function
The value of the graph is:
[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]
x^2-1/4y^2, if x=9, and y=2
I NEED THIS NOWW HELPP REAL ANSWERS ONLY WILL GRANT BRAINLIEST
Answer:
Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
Step-by-step explanation:
The general form of the straight line equation is, y = m·x + c
Where;
m = The slope
c = The y-intercept
The parent function is, f(x) = x
The slope of the parent function, m₁ = 1
The y-intercept of the parent function, c₁ = 0
The x-intercept of the parent function = 0
The equation of the given function g(x) is derived as follows;
Two points on the line g(x) are (-2, 5) and (1, -4)
The slope of g(x), m₂ = (-4 - 5)/(1 - (-2)) = -3
The equation of g(x) is therefore;
y - 5 = -3 × (x - (-2)) = -3·x - 6
∴ y = -3·x - 6 + 5 = -3·x - 1
y = -3·x - 1
The slope of the given function, m₂ = -3
The y-intercept of the given function, c₂ = -1
The x-intercept of the function = -1
We have that a reflection of (x, y) across the y-axis gives (-x, y)
Therefore, the function g(x) is a reflection of f(x) across the y-axis
The slope of g(x) = -3 × The slope of f(x), therefore, g(x) is obtained by a vertical stretch of of f(x) by a factor of 3
The y-intercept of g(x) is lower than the y-intercept of g(x) by -1, therefore, f(x) is shifted down vertically by 1 unit to obtain g(x)
Therefore, the sequence of transformation that can be used to obtain g(x) from the parent function f(x) are;
Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
Which theorem is used?
Answer:
E
Step-by-step explanation:
I believe it should be E because it uses parallel lines
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes
Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
Please explain how to do this. 7th grade math. Worth 20 points.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x=12° }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°
➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°
➪ 7[tex]x[/tex] + 96° = 180°
➪ 7[tex]x[/tex] = 180° - 96°
➪ 7[tex]x[/tex] = 84°
➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]
➪ [tex]x[/tex] = 12°
Therefore, the value of [tex]x[/tex] is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
Supón que un obrero manufactura cajas rectangulares dedistintos tamaños. La longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 m. ¿Cuáles son las medidas posibles de una caja?
Answer:
Dado que un obrero manufactura cajas rectangulares de distintos tamaños, y la longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 cm, para determinar cuáles son las medidas posibles de una caja se debe realizar el siguiente cálculo:
X + X + 6 = 24
2X = 18
X = 9
Por lo tanto, la caja puede tener 4.5 centímetros de ancho por 7.5 de largo, o bien ir aumentando su longitud en desmedro de su anchura.
Five and a quarter million in figures
Evaluate 6 + 3b if b = 7
Step-by-step explanation:
6+3b=6+3(7)=6+21=27
Very easy
<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
a.) What is the measurement of the missing side (c)?
b.) What is the angle of (x)?
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
[tex] a_{3}[/tex]
Replace it into the recursive formula.
[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]
We are given a,1 and a,2 so the 3rd terms has to be
[tex]2[/tex]
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
Answer:
1,1,2,3,5
part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...
the "difference" is definitely not the same, so three is out..
4 is the closest, but the ratio is not the same, there is a trend in the ratio..
this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational
Step-by-step explanation:
keep the body and soul together .....what figure of speech is contained in the sentence
Answer:
The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.
Hello Guys I need help with...The highest common factor of 6x;,8xy
Answer:
2x
Step-by-step explanation:
Given
6x and 8xy
The highest common factor of 6 and 8 is 2
The highest common factor of x and xy is x
Then
The highest common factor of 6x and 8xy is 2x
Year 10 girls = 70, year 10 boys = 140, what fraction of year 10 are boys?
Answer:
2/3
Step-by-step explanation:
140/(140+70)
=140/210
simplified
=2/3
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.
Answer:
4
Step-by-step explanation:
B = (6,5) C = (6,9)
√(x2 - x1)² + (y2 - y1)²
√(6 - 6)² + (9 - 5)²
√(0)² + (4)²
√16
= 4
What is the answer to this question? Please give a step by step explanation.
Answer:
25
Step-by-step explanation:
8b^2 +2a(4c-b)
Let a = 1/4 b=2 c= -3
8 ( 2)^2 +2(1/4) ( 4*-3 -2)
Parentheses first
8 ( 2)^2 +2(1/4) ( -12 -2)
8 ( 2)^2 +2(1/4) ( -14)
Then exponents
8 ( 4) +2(1/4) ( -14)
Then multiply
32 -7
Subtract
25
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xhow would one solve this
