Answer:
Step-by-step explanation:
(3x)² + (4x)² = 20²
9x² + 16x² = 400
25x² = 400
x² = 16
x = 4
height = 3(4) = 12 inches
width = 4(4) = 16 inches
The pair of points (-4, y) and (5, 7) lie on a line with slope 1/3. What is the value of y? You must show all of your work to receive credit
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{y - 7}{ - 4 - 5} = \frac{1}{3} [/tex]
y-7=-3, then y=4
Solve using elimination.
–4x + 9y = –18
–x − y = –11
What does y= when x = -1?
The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?
Answer:
2
Step-by-step explanation:
2021/7 leaves a remainder of 5 so add 2 and that's the answer
find measurement 1 and 4
Answer:
the info they gave us is to suppose that angle 6 is = 126°
step 1:
We know that angle 8 = angle 6 = 126°
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 2:
angle 2 = angle 8 = 126°
Why? — they’re alternate angles
step 3:
angle 4 = angle 2
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 4:
angle 1 = 180-126 (angle 4) = 54°
Why? — total angles in a straight line = 180°
Key Term:
Alternate angles:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.
17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
x = 17/5
Step-by-step explanation:
17+2+6x = x-15 +5x
19+6x =16x -15
19+15 = 16x-6x
34 = 10x
34/10= 10x/10
17/5 = x
x = 17/5 or 3 2/3
find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).
The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:
FDT
[tex]-a\cdot e^{-x}+b = 0[/tex] (1)
[tex]b = a\cdot e^{-x}[/tex]
SDT
[tex]y''=a\cdot e^{-x}[/tex] (2)
Where [tex]y'' > 0[/tex].
If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:
[tex]10 = a\cdot e^{-1}+b[/tex] (3)
[tex]b = a\cdot e^{-1}[/tex] (4)
[tex]y'' = a\cdot e^{-1}[/tex] (5)
By (4) in (3):
[tex]10 = 2\cdot a\cdot e^{-1}[/tex]
[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]
[tex]a = 5\cdot e[/tex]
By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):
[tex]b = 5[/tex]
Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].
We kindly invite to check this question on first and second derivative tests: https://brainly.com/question/6097697
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP
Answer:
[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]
Exact Form:
[tex]\frac{323}{46}[/tex]
Decimal Form:
7.02173913
Mixed Number Form:
7 [tex]\frac{1}{46}[/tex]
Step-by-step explanation:
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
Original price of shorts $53.95 Discount 30% Tax 4.5? Please help what’s the correct answer ???
PLEASE HELPPPP MEEEEE
Answer:
With discount : $37.76
With tax : $56.38
With both : $40.19
Step-by-step explanation:
Hope this helps
Help please (due today) plz hellpp i cant solve it plz dont write anything just for points plzz
Answer:
After reviewing the question you posted I have deduced that the correct answers are:
11) Max has $10.00. He earns $25.75 per lawn that he mows.
12) No. She is wrong. She did not group like terms correctly.
Step-by-step explanation:
11)
For 11) I first identified the independent variable of the equation, being "10".
And then the dependent variable of the equation, being "25.75". (The dependent variable of an equation will always be affected by the x)
I then looked at all the possible answers to see which one shared a independent variable of "10" and a dependent variable of "25.75".
The only possible answer that matches is Max has $10.00. He earns $25.75 per lawn that he mows.
This is because the only two possible answers that have "10" being a variable that does not change (independent variable) are:
--- "Max has $10.00. He earns $25.75 per lawn that he mows.
--- "Jon buys 10 toycars for $25.75 each"
However!
"Jon buys 10 toycars for $25.75 each" is an incorrect answer because it uses "10", although independent, as the x variable that affects the independent variable of "25.75".
12)
To find the correct answer for this question I simplified the equation from:
8t-15+3t = 11m-15
Into:
8t+3t-15 = 11m-15
Which further simplifies into:
11t-15 = 11m-15
Which then you can notice that the two equations are similiar indeed, however they do not share like terms. One equation has "t" as their term, and the other as "m" as their term. Thus they do not share any like terms and are not equivalent.
When you have > or <, the solutions are only in the shaded area.
True
or
False
Answer: True
Step-by-step explanation: Because the solutions can not land on the dotted lines.
Help help please last question please correct I’ll give points
Answer:
First is translation then dialation darlin
Step-by-step explanation:
i say this because of the size of grid
Help me with question 9
Answer:
a) 5.25m^2
b) 1 can
Step-by-step explanation:
a)
area of a triangle = bh/2
=(4.2 x 4.5)/2
=18.9/2
=9.45m^2
area of a rectangle = 2(l+w)
=2 x (0.6 + 1.5)
=4.2m^2
9.45-4.2 = 5.25m^2
b) 1 can, you can't have a partial can of paint
I need help with this problem! please hurry have 3 more after so let me know if you want to do them to and ill give 200 points.
The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2
Answer:
5
Step-by-step explanation:
set up point slope form
y + 8 = 2(x-1)
set y to zero
0+8=2(x-1)
8=2x-2
10= 2x
x = 5
if AB=12 cm and BC =13 cm then AC = 25 cm
Answer:
AB=12
Hope this helps!
mayor jones received 1027 votes his opponent received 949 votes how many votes did mayor jones win by? 6th grade help most hepful answer gets 5 stars a comment and a like
Answer:
[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
in
given points.
1. (10,4), (4, 15)
Find the slope of the line.
Answer:
[tex]m = -\frac{11}{6}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]
Hope this helps.
Plz help guys!!!!!!!!
Answer:
3
2
Step-by-step explanation:
Explain how you can write 4.1 as a/b
Answer:
ax + by
Step-by-step explanation:
i hope its correct
if its wrong then im sorry :)
Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
Answer:
Percentage Calculator: 100. is what percent of 500.? = 20.
Step-by-step explanation:
HELPPP PLS
A store sells a 1 1/4
pound package of turkey for9$ .
What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound
Answer:
D. $7.20
Step-by-step explanation:
9/1.25 = $7.20
(NO LINKSS PLS)(PLS ANSWER) Rayshawn is making sewing kits. Each kit gets 2 thimbles. the ratio of thimbles to spools of thread in each kit is 2:8, and the ratio of needles to thimbles is 4:2. Which statement below is always true? Explain Your reasoning.
Rayshawn needs half as many needles as spools of thread.
OR
Rayshawn needs 4 fewer needles than spools of thread.
Answer:
864 inches
12*3=36
36*24=864
Step-by-step explanation:
Hope this helps:)
Answer:
12*3=36
36*24=864
Step-by-step explanation:
b ÷ 0.52 for b = 6.344
Answer:
the answer is 12.2
[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]
Solve the triangles for X: include the steps if you can
Answer:
10) x=9
11) x=25
Step-by-step explanation:
a triangle is 180º total
10) 2x+8x+90=180
10x=90
x=9
11) 3x+1+2x+2+2x+2=180
7x+5=180
7x=175
x=25
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
A similar problem is given at https://brainly.com/question/16858635