Answer:
(2, -2)
Step-by-step explanation:
Solve 7x - 2y = 18 for x:
[tex]7x - 2y = 18[/tex] [tex]7x - 2y + 2y = 18 + 2y[/tex] (Add 2y to both sides)[tex]7x = 2y + 18[/tex] [tex]\frac{7x}{7} = \frac{2y+18}{7}[/tex] (Divide both sides by 7)[tex]x = \frac{2}{7}y+\frac{18}{7}[/tex]Substitute 2/7y+ 18/7 for x in -4x + 3y = -14
[tex]-4x + 3y = -14[/tex] [tex]-4(\frac{2}{7}y+\frac{18}{7})+3y=-14[/tex] [tex]\frac{13}{7}y-\frac{72}{7}=-14[/tex] (Simplify both sides of the equation) [tex]\frac{13}{7}y-\frac{72}{7}+\frac{72}{7} =-14+ \frac{72}{7}[/tex] (Add 72/7 to both sides)[tex]\frac{13}{7}y=\frac{-26}{7}[/tex] [tex]\frac{13}{7}y*\frac{7}{13}=\frac{-26}{7} * \frac{7}{13}[/tex] [tex]y = -2[/tex]Substitute -2 for y in x = 2/7y + 18/7
[tex]x = \frac{2}{7}y + \frac{18}{7}[/tex] [tex]x = \frac{2}{7}(-2) + \frac{18}{7}[/tex] [tex]x = 2[/tex] (Simplify both sides of the equation)Given that x = 2 and y = -2, the point is: (2, -2)
Therefore, the solution is (2, -2).
Given the points (-2,-3) and (4,-6) what is the equation of the line
Answer:
The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.
Step-by-step explanation:
An animal shelter worker recorded in the table below the amount of food, in pounds, fed to the animals over a four-day period.Pounds of Food for Shelter AnimalsFridaySaturdaySundayMondayCats6.58.8754.16.25Dogs8.454.6253.25.8Rabbits1.22.42.1252.125On which day were the animals fed the most food?FridaySaturdaySundayMonday
Step-by-step explanation: I added all of them and Friday was the biggest number with 16.15
Road Sign
The U.S. Department of Transportation determines the sizes of the trafic control signs that you see along the roadways. The square Pennsylvania state route sign at the right has an area of 1296 square inches. Find the side length of the sign.
(I need an answer and how to solve it please<3)
Answer:
A = S square (s^2)
we know that A = 1296 square inches, then,
[tex]\sqrt{1296} = \sqrt{s^{2}} \\[/tex] we square both sides and cancel out the square on the right side. We get:
36 = s
The length of the sign is 36 inches.
Step-by-step explanation:
A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?
A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people
Answer:
6104 people.
Step-by-step explanation:
1.25 means it will multiply by 1 and a fourth
2500*1.25 =3125 the first month
3125*1.25=3906.25 the second.
3906.25*1.25=4882.8125 the third
4882.8125*1.25=6103.515625
round that up and you have 6104 people.
Answer:
A) 4883Step-by-step explanation:
Given:
Initial number = 2500Rate of increase = 1.25 timesNumber of moths passed = 4 - 1 = 3Population is:
2500*1.25³ = 4882.8125 ≈ 4883Correct choice is A
You deposit 3,950 into a bank account with simple interest rate of 4%. How can you find the balance after 3 years
$474
..................
2.3h (6-k) Simplify the expression
Answer:
18h - 3hk
Step-by-step explanation:
2h(6 - k)
= 2h(6) + 2h(-k)
= 12h + -2hk
= 12h - 2hk
Hope this helps!
convert the following equation into standard form.
y= -7x/8 + 4
Determine if the two triangles are congruent if they are state how do you know SSS,SAS,HL,ASA, OR AAS. Be sure to include any extra vocabulary reflexive vertical angles alternative interior angles
For every 7 females at university, there are 3 males. If there are approximately 9500 females, approximately how many total students attend the university? Round to the nearest hundred.
Answer:
13571 total
13600 to nearest hundred
Step-by-step explanation:
7+3 = 10 = distribution total
9500 / 7 = 1357.14286 one part
1357.14286 x 3 = 4071.42858 = 4071 males
1357.14286 x 10 = 13571.42 is the same as
9500 + 4071 = 13571 total
= 13600 to nearest hundred
the diagram shows a ABCDEF 70× 90cm
Solution :
Tan 25° = C4/BC
=> 0.466 = CF/60
=> C4 = 27.96
A4² = AC² + C4²
AC² = 60² + 40² = 5200
CF² = 781.76
4F² = 5200 + 781.76
=> AF² =5981.76
=> A4 = 77.3
length A4 = 77.3 cm
Answe the question given in the image
if the principal is 3500 the rate is 3% and the time is 3 years want is the answer
Please help me solve this ASAP
Answer:
68.50 in
Step-by-step explanation:
first we are given the width and the length for the rectangle and so we know that 4 × 5x + 7 = 128
so we would now solve for x:
4 × 5x + 7 = 128
= 4 × 5x = 121
= 20x = 121
= x = 6.05
now we can plug in 6.05 for x and find the perimeter:
5(6.05) + 4 = 34.25
5(6.05) + 4 = 34.25
34.25 + 34.25 = 68.50
Giving Brainliest for correct answer!
What is the slope of the line that passes through the points (10, 5) and (9,5)? Write your answer in simplest form.
Answer:
Slope = 0
Step-by-step explanation:
Equation: y = 5
Since the graph would show a horizontal line (passing through 5) the slope would be zero
Help plz stuck on this question
Answer:
X=16°
Y=121°
HELP PLEASE I DON'T KNOW THE ANSWER I REALLY NEED HELP
Answer: S
Step-by-step explanation: flip the triangle and you'll see the answer.
Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Christina’s age? Joe’s age? Aaron’s age?
Answer
If Christina's age is = x
Aaron's age is = x + 6
Jeo's age = 3(x + 6 )
So, the sum of their ages can be write as,
[tex]x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24[/tex]
Also, they have given that the sum of their ages is 149
Therefore we can write a equation as,
[tex]5x + 24 = 149[/tex]
Now let's solve this and find the age of Christina
[tex]5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\ \frac{5x}{5} = \frac{125}{5} \\ x = 25[/tex]
Aaron's age is
[tex] x+ 6 \\ 25 + 6 \\ = 31[/tex]
Joe's age is
[tex]3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\ = 93[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
3 x (2x - 3) -6x² = 6
Answer:
= − 2/3
Step-by-step explanation:
Distribute
3x(2x - 3)-6x² =6
6x² -9x-6x² =6
Combine like terms
6x² -9x-6x²=6
-9x=6
Divide both sides of the equation by the same term
-9x=6
-9x/-9=6/-9
Simplify
x=-2/3
Solution
x=-2/3
Answer:
Step-by-step explanation:
3 x (2x - 3) -6x² = 6
6 x^-9x-6x^=6
Combine like terms
6x^-9x-6x^=6
-9x=6
Divide both sides of the equation by the same term
− 9 = 6
-9x = 6
-9 -9
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
= −2
3
HOPE IT IS HELPFUL
MARK ME AS BRAINLIEST
What is the square root of 64y16?
6 OF
O 4y4
4y8
8y4
O
O 8y8
There is 1 inch of water in a pool. The water level is increasing at 0.75inches/ minute. Which linear equation represents the total depth of the water in inches after x minutes?
Answer:
y= 0.75x+1
Step-by-step explanation:
This is because there is already 1 in of water in the pool and the water level is increasing at a constant rate of 0.75 in per minute.
Hope this helps! :)
Answer: this person is right its y=0.75x+1
Step-by-step explanation: took test
help plzzz
Which of the following is NOT an equivalent expression to Area of sector =
Answer:
Step-by-step explanation:
From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.
What is the area of a circular sector?The area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of the angle of the sector and the radius of the circle. It can be given as,
[tex]A_s=\dfrac{r^2\theta}{2}[/tex]
Here, (r) is the radius of the circle and θ is the angle of the sector. Multiply with π/180 to convert it into the degrees.
[tex]A_s=\dfrac{r^2\theta}{2}\left(\dfrac{\pi}{180}\right)\\A_s={\pi r^2}\left(\dfrac{\theta}{360}\right)[/tex]
Thus, the option D is correct. Now, πr² is the area of circle . Thus,
[tex]\rm \text{Area of sector}=\dfrac{(Area\; of \;Circle)(Arc\; Measure)}{360^o}\\\rm \dfrac{(Area\; of \;Sector)}{(Arc\; Measure)}=\dfrac{\text{Area of sector}}{360^o}[/tex]
From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.
Learn more about the area of a circular sector here;
https://brainly.com/question/10585749
#SPJ2
1) Factorise 3x^2 + 5x + 2
2) Hence, solve x^2 + 5x + 2
Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!
Step-by-step explanation:
- factorise using AC method
AC= 3 x 2 = 6
find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)
- put them as x in the equation to replace 5x
3x^2 + 2x + 3x + 2
- split the equation in half and expand each side
3x^2+2x | 3x+2
x(3x+2)+1(3x+2)
- put the numbers outside the brackets into a separate bracket
= (x+1)(3x+2)
how can you show 198,000 as a power of 10 using an exponent? HURRY PLEASE
Answer:
1.98 × 10^5
Step-by-step explanation:
May be wrong though
Someone help plz make sure it’s right will make brainiest :)
Answer:
y = -5/7(x) - 3/7
Step-by-step explanation:
1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.
2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]
[tex]b = -4 - (-\frac{5}{7}) * (5)[/tex] [tex]b = -\frac{3}{7}[/tex]3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
What is the slope of the line that passes through the points (4,8) and (-2,1) ?
Answer:
f(x) = 7/6
Step-by-step explanation:
First off, hello! This is my explanation to the provided answer,
You can use the slope formula, (or simply graph the points), y2 - y2 / x2 - x1.
This would give you: 1 - 8 / -2 - 4, meaning that you would get the answer: 7/6 as the slope.
Hope this helps, if you have any more questions please ask.
solve:
2sinxcosx=0.5
Answer:
Step-by-step explanation:
what is the LCD of 1/a²-1 and 1/a+1
Answer:
[tex]a^{2} -1[/tex]
Step-by-step explanation:
The LCD, or the lowest common denominator would be [tex]a^2-1[/tex]
If we multiply the second term [tex]\frac{1}{a+1}[/tex] by [tex]\frac{a-1}{a-1}[/tex] ([tex]\frac{a-1}{a-1}[/tex] is equivalent to 1, so we can do this,) we can see that the denominator would become the same as the first term [tex]\frac{1}{a^2-1}[/tex] by difference of squares. So that creates an LCD of [tex]a^2-1[/tex]
Answer:
see the person above
Step-by-step explanation:
60 divided by 36 with a reminder
Answer:
1 remainder 24
Step-by-step explanation:
Does dividing the angle measures of a triangle change its shape?
For example, if I divide each angle measure of a triangle in half, will the triangle become smaller? Or does it not affect the size at all?
Write an equation perpendicular to y = −1/5x + 9 that passes through the point (-2, -2) in slope intercept form. (y = mx + b)
What is the perpendicular slope?
Answer:
y = 5x + 8
m = 5
Step-by-step explanation:
ok so perpendicular means negative reciprocal of the slope so the original slope of the line is -1/5x so the negative reciprocal is 5 (5/1 and the negative undos the negative so it's positive) so now we will use the point (-2, -2) and plug that into the slope intercept form (y = mx+b)
so -2 = 5(-2) + b
5 • -2 = -10 and u add that to the other side so b = 8 so the answer is y = 5x + 8! hope this helps!