Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
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
Help plz!! Trig question
Answer:
5 meters tall.
Step-by-step explanation:
We know that angle A (the bird) is 55. The opposite side from this angle is 4.5 meters, since that is the distance she is from the tree. From this, we can set up an equation tan(55)=4.5/x and simplify it to x= 4.5/tan(55). This would be height x, but it is not accounting for the 1.5 meters the apple is off the ground, so you need to add 1.5 to the result. The final answer would be 4.65 but you need to round to the nearest meter so it would be 5.
I need help PLZ thanks for your help
Image below
Answer:
3x - 14 = x + 30
[ Opposite angles of a ||gm are equal ]
=> 3x - x = 30+14
=> 2x = 44
=> x = 22
Therefore , option 4 is correct
hope that helps ✌
What is the greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case?
The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8
Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?
Perimeter:-4a
[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]
Height=10in[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]
[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]
[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]
Arc measurement with equations
Answer:
thats the question?
Step-by-step explanation:
6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20
in the afternoon the temperature was 52 degrees. a strong arctic cold front caused the temperature tio drop 38 degrees in 4 3/4 hours. if the temperature continues to drop at thre same rate what will the temperature be after 2 hours?
Answer:
5.9
Step-by-step explanation:
14 degrees dropped in 4 3/4, in one hour 56/19 degrees will drop. In two hours, 112/19=5.9 degrees will drop
Can anyone help me with this it’s question 2 help please
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
PLEASE HELP ASAP!!!!!Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He also earned $32.75 last
month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put
of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings
5
account:
Step 1: [($22.75 + 3) + $32.75 - $14.25)
5
Step 2: [$44.25)
Step 3: $11.0625
In which step did Sunny first make an error? Use words to explain how Sunny can correct his error.
Answer:
error in step one
Step-by-step explanation:
Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.
That means $22.75 x 3 not $22.75 + 3
He can correct his mistake by doing this:
Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5
Step 2: [$86.75] *1/5
Step 3: $17.35
Answer:
putting this so the other might be brainliest!
Step-by-step explanation:
also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)
When investing money in a bank account, in which situation will you have the most money in your account at the end of three years?
Compounded semiannually
Compounded yearly
Compounded quarterly
Compounded monthly
Answer:
continuously is the most, and what is actually done at the banks...
as for your answer:
Compounded monthly
Step-by-step explanation:
When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.
What is compound interest?Compound interest is the interest you earn on interest.
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
To check in which situation we will earn the most money in end of three years, we calculate the final amount in each situation keeping other variables constant.
Let
P = 5000
r = 5%
t = 3 years
When compounded annually,
[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]
When compounded semiannually,
[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]
When compounded quarterly,
[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]
When compounded monthly,
[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]
Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.
Learn more about compound interest here
https://brainly.com/question/14295570
#SPJ2
5.3.8 Higher / Lower 2.0
Answer:
Higher...
Step-by-step explanation:
5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.
Or is this code?
Say you have this: (sorry there's no indentation)
my_float = round(3.3312, 2)
while True:
guess = float(input("Guess my number: "))
if guess > round(my_float, 2):
print ("Too high!")
elif guess < round(my_float, 2):
print ("Too low!")
elif round(guess,2) == round(my_float, 2):
print("Correct!")
break
print("Great job guessing my number!")
You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.
guess = round(guess, 2)
Or:
guess = round(float(input(“Guess my number: “)), 2)
Hope this helped! Have a nice day!
Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS
Answer:
0.804
Step-by-step explanation:
Subtract 3.218 by 2.414
Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?
A.It is not possible to determine if the triangles are congruent.
B. ∆ABD ≅ ∆ACD by the SSS Postulate.
C. ∆ABD ≅ ∆ACD by the SAS Postulate.
Answer:
Options (C)
Step-by-step explanation:
For the congruence of the triangles ΔADB and ΔADC,
Statements Reasons
1). AB ≅ AC 1). Given
2). AD ≅ AD 2). Reflexive property
3). ∠BAD ≅ ∠CAD 3). Given
4). ΔABD ≅ ΔCAD 4). SAS postulate
Therefore, Options (C) will be the correct option.
If A = 2m + 1 and B 2m2 - 1 + 8m, find an expression that
equals 3 A + B in standard form.
Please help
Answer:
2m² + 14m + 2
Step-by-step explanation:
3A + B
= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3
= 6m + 3 + 2m² - 1 + 8m ← collect like terms
= 2m² + 14m + 2 ← in standard form
The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?
Answer:
13m
Step-by-step explanation:
volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π
4r^3/3 = 3000
r^3 =2250
r = ∛2250 = 13.10370 = 13
Answer:
Radius of the sphere is 13.1 m.
Step-by-step explanation:
Volume:
[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]
Substitute:
[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]
what is answer guys
[tex]2x(x + 1) + 1(x + 1)[/tex]
Step-by-step explanation:
ᵉᵃˢʸ ᵖᵉᵃˢʸ
2x²+2x+x+1
2x²+3x+1
5. Dylan walks into a video arcade with a pocketful of quarters. He spends them
at a rate of nine every half hour until he runs out. If the amount of quarters Dylan
has is graphed over time, which feature of the graph corresponds to Dylan's
initial amount of quarters, before he spends the first one?
The y-intercept
The slope
The x-intercept
The minimum value
Answer:
The y-intercept
Step-by-step explanation:
Have a good day :)
Natalie bought 8 toys for $50. Which of the following has the same price per toy?
Answer:
The price per toy is $6.25.
Step-by-step explanation:
The price per toy is calculated by dividing the cost of all toys by the number of toys.
$50/8 = $6.25
The price per toy is $6.25.
If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.
Answer:
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Step-by-step explanation:
Given
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
[tex](x + 7) * (\ ) = [\ ][/tex]
Required
Complete the blanks
We have:
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
Rewrite as:
[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]
Cross multiply
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Answer:
Answer B, C, C
Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
find the value of 2 raise the power negative 6
Answer:
1 /64
Step-by-step explanation:
2^-6
We know that a^-b = 1/a^b
1 / 2^6
1/64
Also with explanation
what is the answer?
Answer:
3,6
Step-by-step explanation:
what is the answer the / is division/divided? t+d/8-6
Answer:
t+d/2
Step-by-step explanation:
Simplify the following
Answer:625/16 or 39,0625
Step-by-step explanation:
=5*5/2*5÷2*3/5*3
=160/64÷8/125
=625/16 or 39,0625
Answer:
Alternate form is 1525.87891
A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?
Answer:
4 kilometers
Step-by-step explanation:
First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.
2 + 0.40x = 9.60
Now, we have to solve for our x value by subtracting 2 from both sides.
0.40x = 7.60
Next, we can divide both sides by 0.40 to find out what our x value is equal too.
x = 19
Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.
So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle
Answer:
Step-by-step explanation:
diameter of the circle=smallest of the length and width=21 cm
r=21/2
area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²
The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
