Answer:
4y = -x + 31
Step-by-step explanation:
Given that one equation in a system of equations is y = 4x - 5 write a second equation to complete the system if the solution to the system is (3,7)
Since the solution of the system is (3, 7), that means the two lines of equations meet or intersect at point X = 3 and Y = 7
Let assume that the two equations are perpendicular to each other. Then, there slope can be expressed as
M1M2 = -1
Where M1 = 4
Find M2
4M2 = -1
M2 = -1 / 4
Using general linear equation
Y = MX + C
Let's find C by substituting Y, X and M2
7 = -1 /4( 3 ) + C
7 = -3/4 + C
C = 7 + 3/4
C = 31/4
Substitute C back into the equation
Y = -1/4X + 31/4
4y = -x + 31
Therefore, the second equation is
4y = -x + 31
Whiskers the cat weighs 3 1/2 kg and Pilglio weighs 5 kg. How many times as heavy as pilglio is whiskers? How many times as heavy as whiskers is pilglio?
Given:
Whiskers the cat weighs [tex]3\dfrac{1}{2}[/tex] kg and Pilglio weighs 5 kg.
To find:
How many times as heavy as pilglio is whiskers?
How many times as heavy as whiskers is pilglio?
Solution:
We have,
Weight of cat (whiskers) = [tex]3\dfrac{1}{2}[/tex] kg
= [tex]\dfrac{3(2)+1}{2}[/tex] kg
= [tex]\dfrac{7}{2}[/tex] kg
= 3.5 kg
Weight of pilglio = 5 kg
Now,
[tex]\dfrac{Whiskers}{Pilglio}=\dfrac{3.5}{5}=0.7[/tex]
Therefore, whiskers is 0.7 times as heavy as pilglio.
[tex]\dfrac{Pilglio}{Whiskers}=\dfrac{5}{3.5}[/tex]
[tex]\dfrac{Pilglio}{Whiskers}=1.428571...[/tex]
[tex]\dfrac{Pilglio}{Whiskers}\approx 1.43[/tex]
Therefore, piglio is about 1.43 times as heavy as whiskers.
7x + y = 33
3x + y = 17
x=
y=
simultaneous
I need helpppppp
Find the new amount given the original amount and the percent of change. $8: 10%. Increase The new amount is $
Find the value of 7w-8 given that -4w-5=3
Simplify your answer as much as possible.
7w - 8 =
Answer:
The value of 7w - 8 is -22
Step-by-step explanation:
Let us solve the question
∵ -4w - 5 = 3
→ Move -5 from the left side to the right side by adding both sides by 5
∴ -4w - 5 + 5 = 3 + 5
∴ -4w = 8
→ Divide both sides by -4
∵ [tex]\frac{-4w}{-4}[/tex] = [tex]\frac{8}{-4}[/tex]
∴ w = -2
→ Now let us find the value of the given expression
∵ The given expression is 7w - 8
→ Substitute w by -2 to gets its value
∴ 7w - 8 = 7(-2) - 8
∴ 7w - 8 = -14 - 8
∴ 7w - 8 = -22
∴ The value of 7w - 8 is -22
Suppose a triangle has two sides of length 2 and 5 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
O A. J9
OB. 3
OC. 23
OD. 5
Answer:
please what did you put as the first option
Step-by-step explanation:
I think the answer is 29
Express the value of each tangent ratio to the nearest tenth or as a fraction
9514 1404 393
Answer:
1) 5/12
2) 4/3
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...
Tan = Opposite/Adjacent
__
1) For angle Z, the ratio is ...
tan(Z) = XY/YZ = 10/25 = 5/12
__
2) For angle C, the ratio is ...
tan(C) = AB/BC = 20/15 = 4/3
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
19.1
−90x+10y=110
5x+10y=15
Using elimination process. How on earth do you answer this problem. Please be very detailed with what you are doing. It's very confusing.
In ΔWXY, w = 170 inches, x = 590 inches and y=630 inches. Find the measure of ∠Y to the nearest 10th of a degree.
Answer:
95.7
Step-by-step explanation:
Just trust.
Answer:
95.7
Step-by-step explanation:
Delta Math
List a, b, and c for the following Quadratic: 2x2 + 5x + 3 = 0
Answer:
a = 2
b = 5
c = 3
Evaluate the expression b2- 15 if b=9
Answer:
3
Step-by-step explanation:
just plug in 9 to b
9x2=18 18-15=3
Please help me with the questions
Step-by-step explanation:
.................b = 37.8
Find the equation of the line described.
Perpendicular to y = 3x + 6; passing through the point (4,5).
The line equation is y =
Answer:
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 6 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , thus
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c , substitute (4, 5) into the partial equation
5 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 5 + [tex]\frac{4}{3}[/tex] = [tex]\frac{19}{3}[/tex]
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex] ← equation of perpendicular line
A garden is designed in the shape of a rhombus formed
from 4 identical 30°-60°-90° triangles. The shorter
distance across the middle of the garden measures 30
feet.
What is the distance around the perimeter of the
garden?
60 ft
60 ft
120 ft
30°
0 120/5 ft
60
15 ft
15 ft
Mark this and return
Save and Exit
Next
Subtni
Answer:
120ft.
Step-by-step explanation:
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.
The perimeter of the rhombus is P = 120 feet
What is the perimeter of Rhombus?A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.
When the two diagonals of a rhombus are known,
The perimeter = 2√p² + q²
where 'p' and 'q' are the diagonals.
Given data ,
Let the rhombus be represented as ABCD
Let the side length of the rhombus be AB = 30 feet
And , perimeter = 2√p² + q²
And , P = AB + BC + CD + AD
Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.
In ΔAOD,
(Perpendicular/hypotenuse) = sin 30°
or, 1/2 = 15/AD
otherwise, AD = 15 x 2 = 30 ft
So, AD equals 30 feet.
Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.
On simplifying , we get
P = 4 ( 30 feet )
So , P = 120 feet
Hence , the perimeter is 120 feet
To learn more about perimeter of rhombus click :
https://brainly.com/question/4321700
#SPJ7
5/3 + 1/8
Help nowwwww pls help
Step-by-step explanation:
5×8/3×8 + 1×3/8×3
=43/24
=43/24
Answer:
1 19/24
Step-by-step explanation:
Which graph represents an odd function?
pls helppppppppppppppppppppppppppppppppppppp
Answer:
y=1/2x+1
Step-by-step explanation:
Use the formula y=mx+b
rise/run- it goes up ONE and over TWO
the y intercept is (0,1)
put it all together y=1/2x+1
What is the slope and y-intercept
y= -16x²+130x+4
What is the answer?
Answer:
There is no answer. The equation cannot be simplified any further.
Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answer:
The surface area of given cuboid is: 148 square centimeters
Step-by-step explanation:
Let
l = 5
w = 4
h = 6
The cuboid has 6 rectangular surfaces.
The surface area of a cuboid with height h, length l and width w is given by:
[tex]TSA = 2 ( lw+wh+hl )[/tex]
Putting the values
[tex]TSA = 2(5*4 + 4*6 + 6*5)\\= 2(20+24+30)\\=2(74)\\=148\ cm^2[/tex]
Hence,
The surface area of given cuboid is: 148 square centimeters
2.43 × 3.7 please i nedd help
Step-by-step explanation:
2.43 × 3.7
Answer:-8.99100
DO YOU LIKE MARVEL
IF YOU DO SAY YES AND WHO IS YOUR FAVOUTITE CHARACTER
Answer:
I love Spider-Man and its entire series and the comics.But my most favorite is Black Panther not cause he died its just because I believe that its cool that marvel portraits a black superhero since nick fury
No, I Dont like marvel...
I LOOOOOOVVVEEEE MARVELLLL!!!!
And BY BY FAR SPIDERMAN IS MY FAVOURITE!!!
lol great question!
MTFBWY
12x+3=15x
show how u got the answer
Answer:
x = 1
Step-by-step explanation:
Given
12x + 3 = 15x ( subtract 12x from both sides )
3 = 3x ( divide both sides by 3 )
1 = x
Answer: x=1
Step-by-step explanation: So we're solving for x right but slight problem x is on both sides of the equation so we have to fix this. we can subtract 12x from both sides to get 12x-12x=0 and 15x-12x=3x so now we have 3x=3 to find x divide by 3 on both sided since 3/3=1 so 3x divided by 3 equals 1x or x and 3 divided by 3 is 1 so x=1
Math
12x+3=15x
-12x -12x
3=3x
/3
1=x
Plot the line for the equation on the graph.
y-4=-1/4(x-5)
a rectangular sign is 4 times its width if the perimeter is 20 inches what is the signs area.
Answer: 1,600 cubic inches
Step-by-step explanation: 20x4=80 multiply both sides 80x20=1,600 cubic inches
i will mark answer brainliest
Answer:
its 17.3 or 18.0 feet
Step-by-step explanation:
someone convert 58.6...... into a fraction thank you!
Answer:
293/5
Step-by-step explanation:
Write 58.6 as
58.6/1
Multiply both numerator and denominator by 10 for every number after the decimal point
58.6 × 10
1 × 10= 586/10
Reducing the fraction gives
293/5
peter has 4 more 50 dollar bills than 10 dollar bills in his wallet if the total amount of his money is 380 dollars how many ten dollar bills does peter have
Answer:
3
Step-by-step explanation:
7*50=350
7-4=3
3*10=30
350+30=380
Given that f(x) = x2 + 10x + 21 and g(x) = x + 3, find f(x) · g(x) and express the result in standard form.
Answer:
We conclude that:
[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]
Step-by-step explanation:
Given
[tex]f\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)[/tex]
[tex]g(x)=x+3[/tex]
Determining f(x) · g(x)
[tex]f\left(x\right)\cdot g\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)\times \left(x+3\right)[/tex]
Distribute parentheses
[tex]=x^2x+x^2\times \:3+10xx+10x\times \:3+21x+21\times \:3[/tex]
[tex]=x^2x+3x^2+10xx+10\times \:3x+21x+21\times \:3[/tex]
[tex]=x^3+3x^2+10x^2+30x+21x+63[/tex]
Add similar elements: [tex]3x^2+10x^2=13x^2[/tex]
[tex]=x^3+13x^2+30x+21x+63[/tex]
Add similar elements: [tex]30x+21x=51x[/tex]
[tex]=x^3+13x^2+51x+63[/tex]
Therefore, we conclude that:
[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]
URGENT!
Write the equation of the ellipse graphed below.
I already asked this question but still no answer, sadly.
\Answer:
[tex]\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1[/tex]
Step-by-step explanation:
Equation of The Ellipse
Given the center (h,k) and the length of the major and minor axis, we can write the equation of the ellipse as follows:
[tex]\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
If the major axis is a, then the ellipse is horizontal, if the major axis is b, then the ellipse is vertical.
The ellipse shown in the figure is centered at (7,-2). The major axis is b and it can be found by measuring the distance from the center up or down to any vertex. We find b=6 and a=2.
Thus, the equation of the ellipse is:
[tex]\displaystyle \frac{(x-7)^2}{2^2}+\frac{(y+2)^2}{6^2}=1[/tex]
Operating:
[tex]\mathbf{\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1}[/tex]