Answers
[tex]5y+2x = -7~~~~~......(i)\\\\y = -2x +5 ~~~~~~.....(ii)\\\\(i) -(ii):\\\\5y+2x -y = -7-(-2x+5)\\\\\implies 4y +2x = -7 +2x -5\\\\\implies 4y +2x -2x = -12\\\\\implies 4y = -12\\\\\implies y = - \dfrac{12}4 = -3\\\\\\\text{Substitute}~ y=-3~ \text{in equation (ii):}\\\\\\-3 = -2x +5\\\\\implies 2x = 5 +3 \\\\\implies 2x = 8\\\\\implies x = \dfrac 82 =4\\\\\text{Hence,}~ x = 4[/tex]
Related Questions
10.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.
Answers
Answer:
120
Step-by-step explanation:
white : blue : green
5 :4 :1
48 are blue
48/4 = 12
Multiply each by 12
white : blue : green
5*12 4*12 1*12
60 48 12
Add the numbers together to get the total
60+48+12
120
the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
12345678910123 + = xylab
NEXTLOUESTION
ASK FORHISP
TURNITIN
Answers
Answer:
long is rt3
short is 1
hypotenuse is 2
Step-by-step explanation:
in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'
Un alambre de longitud x s3. E dobla en forma de cuadrado exprese su área en términos de la ingitud x
Answers
Respuesta:
A = 1/16 × x²
Explicación paso a paso:
Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:
l = 1/4 × x
Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.
A = l²
A = (1/4 × x)²
A = 1/16 × x²
PLEASE HALPPP
Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(I need sleep and will give brainiest or whatever TvT)
Answers
Step-by-step explanation:
[tex]\huge\mathfrak\red{Answer}[/tex]
We can set this up as a proportion
(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way each 1/10 of a gallon fills 1/3 of the bin.
so 3(1/10) gallons fills 3(1/3)bins..
or
3/10 galons fills a whole bin.
Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and
there are an assortment of snacks available to purchase for $3 each. How much total
money would Hawa have to pay for her family if she were to buy 10 snacks for
everybody to share? How much would Hawa have to pay if she bought & snacks for
everybody to share?
Total cost with 10 snacks:
Total cost with x snacks:
Answers
Answer:
The snack s will cost 30$. But the movies would cost 75$
The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be $30.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there is an assortment of snacks available to purchase for $3 each.
The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be given as,
⇒ 10 x $3
⇒ $30
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
identify the area of a regular decagon with side length 2 m rounded to the nearest tenth
Answers
Answer:
Area = 14.8
Step-by-step explanation:
Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )
This formula given the side length, calculates the area.
a = 2
Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )
Area = 2.5 + 4 * sqrt(5 + 2*2.236)
Area = 2.5 + 4* sqrt(5+ 4.4721)
Area = 2.5 + 4*sqrt(9.4721)
Area = 2.5 + 4*3.0776
Area = 2.5 + 12.3107
Area = 14.8107
Answer:
A ≈ 30.8 m2
Step-by-step explanation:
{$20+$25+$22+$30+$15+$18+$20+$17+$30+$27+$15
Answers
Answer:
$239
Step-by-step explanation:
20+25+22+30+15+18+20+17+30+27+15=239
Explanation: 20+25=45
22+30=52
15+18=33
20+17=37
30+27=57
45+52=97
52+33=85 > 276+15=291
37+57=94
Help please!
Find the inverse equation of this function
f(x) = (x + 6)^2 + 1
Thank you!!
Answers
Step-by-step explanation:
you're just going to switch x and y and then solve for y
Answer:
Hello,
Step-by-step explanation:
The problem is that the inverse function is not a function but
an union of 2 functions.
[tex]y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\[/tex]
For the fun
,[tex]f_1(x)= (x+6)^2+1=0\ if\ x<6\\f_1^{-1}(x)=-6-\sqrt{x-1} =0\ if\ x<6\\\\f_2(x)=(x+6)^2+1=0\ if\ x \geq 6\\\\f_2^{-1}(x)=-6+\sqrt{x-1} =0\ if\ x\geq 6\\[/tex]
2. Use technology to graph, or graph by hand (on graph paper- MUST BE ACCURATE) each plan on the same set of axis (all three lines on the same graph – this is not a scatter plot! You must have connecting line segments). Assume that a maximum of attendees will be 50 (you will need to adjust the scale - wrench setting). Place a copy of your graph into this document. You must have labeled axis!!! To label your axis on Desmos, go to the wrench settings. (4 marks)
Answers
Answer:
https://www.woboe.org/cms/lib8/NJ01912995/Centricity/Domain/905/Graphing-Packet%20Answers.pdf
Let me know if this helps!
Be a bit more specific on the question like what do you want us to do\
MORE INSTRUCTIONS THAN THE QUESTION
How high up the wall can a 12-foot ladder reach if its base is 4 feet from the wall? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
11.3 feet
Step-by-step explanation:
let x= answer
x²+4²=12²
x²=128
x=11.3137085
which rounds to
11.3
Answer:
≈ 11.3 ft.
Step-by-step explanation:
In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:
- SOH: Sin(θ) = Opposite / Hypotenuse
- CAH: Cos(θ) = Adjacent / Hypotenuse
- TOA: Tan(θ) = Opposite / Adjacent
(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)
When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.
After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)
Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.
Next, we write out the formula and solve:
Cos(m∠Circled Angle) = Adjacent/Hypotenuse
Cos(m∠Circled Angle) = 4/12
Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1
m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)
Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.
The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.
Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!
Just like last time, we write out the formula and solve:
Sin(m∠Circled Angle) = Opposite/Hypotenuse
Sin(70.5288) = Opposite/12
0.9428 = Opposite/12
0.9428 x 12 = Opposite/12 x 12
11.3137 ≈ Opposite (Wall)
Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)
Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.
Which is the graph of y = RootIndex 3 StartRoot x EndRoot?
Answers
Given:
The equation is:
[tex]y=\sqrt[3]{x}[/tex]
To find:
The graph of the given equation.
Solution:
We have,
[tex]y=\sqrt[3]{x}[/tex]
The table of values is:
x y
-8 -2
-1 -1
0 0
1 1
8 8
Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.
Answer:
D
Step-by-step explanation:
edge 2020
Problem 1 Find the mBC.
Answers
Answer:
m BC = 100
Step-by-step explanation:
Since the angle is at the center, the arc has the same measurement as the angle
m BC = 100
Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm
Answers
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.
Answers
Answer:
Therefore, the value of x is 5.
Step-by-step explanation:
We can match each equation to find the solutions.
[tex]8x-40=x^{2}-2x-15[/tex]
[tex]0=x^{2}-2x-8x-15+40[/tex]
[tex]x^{2}-10x+25=0[/tex]
Now, we need solve this quadratic equation.
[tex](x-5)^{2}=0[/tex]
Therefore, the value of x is 5.
I hope it helps you!
simplified expression of 3(7/5x+4)-2(3/2-5/4x)
Answers
Answer:
6,7 x+9
Step-by-step explanation:
[tex]3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9[/tex]
find the measure of the indicated angle to the nearest degree
Answers
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]
Convert to p/q form[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]
[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]
a football pitch is 90 m long and 40 m wide what is the area of the pitch if the cost of the pictures $30 per square metre what is the cost of installing the pitch
Answers
Answer:
90 * 40 = 3600 * $30 = $108,000
Step-by-step explanation:
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y = 1/3x + 1
Group of answer choices
y = -1/3x + 1
y =1/3x – 22
y = -3x + 14
y = -3x – 22
Answers
Answer:
y = - 3x - 22
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 = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
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}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line
find the slope intercept form and the point slope (HELP)
- the line perpendicular to 4x-7y=2 going through (-6,1)
Answers
Answer:
1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)
Step-by-step explanation:
4x-7y=2
7y= 4x-2
y=(4/7)*x-2/7
To find the m2 (the number near x, it is called slope) for searched the slope intercept
use the formula for perpendicular lines
m1*m2=-1
m1= 4/7
m2= -1/ (4/7)= -7/4.
The slope intercept must look like y=m2*x+b
Use the coordinates of given point of the searched line (-6,1) and m2= -7/4.
1= (-7/4) *(-6) +b
b= -19/2
So slope intercept is y= (-7/4)*x-19/2
Point slope formula is y-y1= m2(x-x1) m2=-7/4. x1=-6 y1=1
y-1= -7/4(x+6)
-1 1/4 × -4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answers
Answer:/11-5/9×14/11
Step-by-step explanation:
-4/5+1/4÷3
Solve for x.
A) - 9
C) -5
B) -11
D) 10
Answers
Answer: D) 10
Step-by-step explanation:
All angles in a triangle adds up to 180°
60° + 50° + 7x = 180°
7x = 180° - 60° - 50° = 180°- 110° = 70°
x = (70 ÷ 7)° = 10°
x>0, y>0, 2x+3y=8, smallest value of xy? pls help me
Answers
Answer:
where there is x in the equation we put 0
For y
=2(0)+3y=8
=0+3y=8 Group likely terms
=3y=8-0
=3y=8 Divide both sides by 3
=3y/3=8/3
Therefore y=2.6
For x
=2x+3y=8
=2x+3(0)=8
=2x+0=8 Group likely terms
=2x=8-0
=2x=8 Divide both sides by 2
=2x/2=8/2
Therefore x=4
The smallest numbers for x and y is 4 and 2.6 respectively
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?
Answers
Answer:
[tex]Ratio = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Vertical length / Horizontal length
From the attachment, we have:
[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle
and
[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle
So, the ratio is:
[tex]Ratio = \frac{y}{x}[/tex]
[tex]Ratio = \frac{4\ units}{6\ units}[/tex]
[tex]Ratio = \frac{4}{6}[/tex]
Divide by 2
[tex]Ratio = \frac{2}{3}[/tex]
A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of cookies that can be made with the bag of sugar
Answers
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
helpppppppppppppppppppppppppppppppppppp
Answers
Answer:
5
Step-by-step explanation:
Given: i = 5¹
5¹ = 5
Therefore, the correct option is 5
will marks brainlest helppp
Answers
Answer:
The value is -10
Step-by-step explanation:
Zmjzgshs
I need help ASAP!!! I don’t get it
Answers
Answer:
Reflexion and rotation, then translation
Answered by GAUTHMATH
What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9
Answers
Answer:
-7
Step-by-step explanation:
2(2x+14)=0
2x+14=0
2x=-14
x=-14/2
x=-7
Answered by GAUTHMATH
WILL MARK BRAINLIEST!!
Angelica uses the point 4,3 to represent the location of her house and uses the point 10,8 to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.
Answers
Answer:
Angelica's house is 11 miles away from the gas station.
Step-by-step explanation:
The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.
ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
5
This is essentially the third identical question that you posted with the same
type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)
4 cups = 20 pralines thus the number you are looking for is 20/4 = 5
Step-by-step explanation:
lets try this "story" to explain...
assume that you can walk 3 miles in 1 hour
this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc
0,0
1,3
2,6
3,9
etc.
if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....
if you DIVIDE any of those points
3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at
it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.
