[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.
SubstitutionSubstitute m = -1 and b = - 5 in the equation.
[tex]y = - 1x - 5 \\ y = - x - 5[/tex]
We don't usually write 1x or -1x instead we write -x or x.
Answer[tex]y = - x - 5[/tex]
What is the equation of a line with a Y intercept of -3 and a slope of five
Answer:
y = 5x -3
Step-by-step explanation:
m=5
b=- 3
y = mx + b
y = 5x -3
A cylinder has a diameter of 7 and height of 10.4 . What is its total surface area to two decimal places
Answer:
305.68
Step-by-step explanation:
π = 3.14(aka pi)
d=diameter
h=height
^=exponent
The formula for doing this types of problem is 2π d/2h + 2π(d/2)^2. So all you do is fill in the diameter and height of the variable.
2π 7/2(10.4) + 2π(7/2)^2=305.68
Hope this was helpful, if not deeply sorry, I'm only in 7th grade...
What is the PERCENT DECREASE: 1) PRINCETON: December - 50 January - 40 2) WORCESTER: December - 256 January - 197 3) CHICAGO: December - 7050 January - 6708
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
The product of two consecutive integers is 72. Write a quadratic equation to find the integers, and then solve it.
Answer:
9 x 8
Step-by-step explanation:
Answer:
ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.
Step-by-step explanation:
What is the measure of ZABC?
A
/(x + 45)
(3x)
(6x + 5)º
B
С
D
Enter the correct answer in the box.
Please help!! :)
Answer:
I think <ABC is 83° but I am not sure sorry if is wrong
please help me with this question!
ASAP, I NEED HELP!!!
ILL GIVE YOU 20 POINTS!!!!
PLEASE GIVE ME THE ANSWER AND HOW YOU GOT THE ANSWER
Answer:
B) 37.5 cm squared!
Step-by-step explanation:
First, we know that a triangular prism has 5 faces, so in order to find the surface area of this prism, we must find the area of each face, and then add them together.
Face 1 (Rectangle): 6.5 * 1.5 = 9.75
Face 2 (Rectangle): 6 * 1.5 = 9
Face 3 (Rectangle): 2.5 * 1.5 = 3.75
Face 4 (Triangle): (6 * 2.5)/2 = 6
Face 5 (Triangle): (6 * 2.5)/2 = 6
Now, we add all the areas of the faces together.
9.75 + 9 + 3.75 + 6 + 6 = 37.5
37.5 is the surface area of the whole triangular prism.
TV repairmen charge 35 dollars for a house call and then 15 per hour what would be the charge after 4 and a half hours?
Answer:
$102.50
Step-by-step explanation:
The formula here would be x=35+15y, y being the number of hours he was there.
So 35+15(4.5)=102.5, or $102.50.
Answer:
$102.50
Step-by-step explanation:
35 + 15+15+15+15=95 then you break 15 into two comes out 7.50 which then makes your total $102.50
Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
The reason why these triangles are similar is;
A. AA
Step-by-step explanation:
A two column proof can be presented using the drawing of the question diagram created with Microsoft Visio as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {AB}[/tex] ║ [tex]\overline {DE}[/tex] [tex]{}[/tex] Given
∠ACB ≅ ∠DCE [tex]{}[/tex] Vertically opposite angles
∠BAC ≅ ∠DEC [tex]{}[/tex] Alternate interior angles theorem
∠ABC ≅ ∠CED [tex]{}[/tex] Alternate interior angles theorem
ΔABC ~ ΔCDE [tex]{}[/tex] By Angle-Angle (AA) similarity postulate
Therefore, the correct option is AA.
David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?
Answer:
250 + 0.05 (1500)
250 + 75 = $325 david made i a week with 1500 in sales
250 + 0.05(xx) is how much david would make if he sold xx that week
Step-by-step explanation:
i hope this helped :)
A linear function is a function that changes at a constant rate.
David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in salesThe given parameters are:
Flat Salary = $250 weeklyCommission= 5%A linear function is represented as:
[tex]C(x) = b + mx[/tex]
Where:
b represents the y-interceptm represents the slopeSo, we have:
[tex]C(x) = 250 + 5\% \times x[/tex]
Express 5% as decimal
[tex]C(x) = 250 + 0.05 \times x[/tex]
[tex]C(x) = 250 + 0.05x[/tex]
On a sale of $1500, the equation becomes
[tex]C(x) = 250 + 0.05 \times 1500[/tex]
[tex]C(x) = 325[/tex]
Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales
Read more about linear equations at:
https://brainly.com/question/14323743
If a new surfboard in North Carolina costs $320 and the sales tax is 4.75%, what
was the total cost of the surfboard?
$335.20
$304.80
$321.25
$342.40
The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?
a3 – b3 = (a – b)(a2 + ab + b2)
A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)
Answer:
B
Step-by-step explanation:
(x - 4) because a = x and b = 4, subsitute into (a - b)
(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer
Pls tell me where to put what in the picture below
Answer:
M is the gradient of the line and b is the y-intercept or where the line cuts the y-axis and the x is zero at the point
Step-by-step explanation:
Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.
Answer:
216 + k = total pies
Step-by-step explanation:
216 pies this year + k pies last year = total pies
PLEASE HELP ME
Will mark brainliest
Answer: Its the last one trust me
Step-by-step explanation:
-6(-2x - 1) + 2
please i need help
Answer:
12x + 8
Step-by-step explanation:
Distribute -6 to the parentheses:
-6(-2x - 1) + 2
12x + 6 + 2
Add like terms:
12x + 8
So, the simplified expression is 12x + 8
hello please help! create an x/y table!
equation: y=-1/3x-2
What is the image of the point (9, – 7) after a rotation of 270° counterclockwise
about the origin?
Answer:
The image if the point is (-7, -9)
Step-by-step explanation:
If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)∵ The given point is (9, -7)
∴ x = 9 and y = -7
∵ The given point is rotated 270° counterclockwise about the origin
→ By using the third rule above
∴ The image of the point is (y, -x)
→ That mean change the sign of x-coordinate, then switch them
∵ x = 9 and y = -7
∴ The image if the point is (-7, -9)
In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...
Answer:
AB = 8 and AD = 5
Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )
so BC = 5
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
solve for x it is a parallelogram please help
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.Can anyone solve this for me? Ty:)
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
combine these like terms 4 girls + 2 girls - 3 boys
Answer:
6 girls - 3 boys
Step-by-step explanation:
Answer:
6girls - 3 boys
Step-by-step explanation:
4 girls + 2 girls =6 girls
you cant mix girls and boys so you still have 3 boys
tether
42°
24°
B
A
d
Two support crew, Barry and Angela are assisting the flight of a hot air balloon.
Barry is holding a tether that is 38 metres long. The angle of elevation at B is 42
and the angle of elevation at A is 24°. What is the distance between A and B?
Round your answer to the nearest tenth of a metre.
Answer:
44.4
Step-by-step explanation:
I got it correct on my test
if you answer this u will get 10, and I will answer one of ur questions ONLY if ur right
Answer:c or 35
Step-by-step explanation:
Answer: 35%.
Step-by-step explanation:
35% of the students preferred hamsters as a favorite pet.
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5
° ♡ ₒ ♡ °
thank you!
pls help!!!!!!!!!!!!!!!!!!!!!!!!!
The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll
Answer: 1/16 ft²
Step-by-step explanation:
The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².
Each roll is therefore taking up a space of:
= Area/ Number of rolls
Convert the fraction to an improper fraction:
1 ⁵/₈ = 13/8
= 13/8 ÷ 26
= 13/8 * 1/26
= 13/208
= 1/16 ft²
What is SSS, SAS, AAS, ASA
Answer:
Side side side, Side Angle Side, Angle Angle SIde, Angle Side Angle
Step-by-step explanation: