Answer:
[tex]x^2 + 15x - 60 = 0[/tex]
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
[tex](x + 15)\ by\ x[/tex]
[tex]Area = 60in^2[/tex]
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]60= (x + 15) * x[/tex]
Open Bracket
[tex]60= x^2 + 15x[/tex]
Subtract 60 from both sides
[tex]x^2 + 15x - 60 = 0[/tex]
Hence, the above represents the quadratic equation
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = 15[/tex]
[tex]c = -60[/tex]
So:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]
[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]
[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]
[tex]x = \frac{-15 \± \21.56}{2}[/tex]
Split:
[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]
[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]
[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]
But length can't be negative;
So:
[tex]x = 3.28[/tex]
The actual dimensions: [tex](x + 15)\ by\ x[/tex] is
[tex]Length =3.28 +15[/tex]
[tex]Length =18.28[/tex]
[tex]Width = x[/tex]
[tex]Width =3.28[/tex]
The actual dimension is 18.28 by 3.28
Write an equation in standard form with an x-intercept of 4 and a y-intercept of 5
if a polygon is translated, which of the following characteristics of the polygon are the same?
A side length
B area
C the coordinates of the vertices.
the following characteristic of the polygon that are the same are A SIDE LENGTH AND B AREA
Translation is a rigid transformation.
The characteristics that will remain the same are: (a) side length and (b) area
When a polygon is translated, the polygon undergoes a rigid transformation.
A rigid transformation does not change the side length and angle of a shape.
The side lengths of the polygon would remain unchanged.Since the side lengths are not altered, then the area of the polygon will also remain unchanged.However, the coordinates would change; because the polygon would change its position after translation.
Hence, the correct options are:
(a) and (b)
Read more about translations at:
https://brainly.com/question/12463306
HURRY I NEED HELP QUICK!!!!!!!
Which equation represents the graph shown?y =
y = x - 35
y = x + 35
y = 35 x
y = x/35 (fraction)
Answer:
y = 35xStep-by-step explanation:
If you notice, point 4 on the x-axis (horizontal) coincides with 140 on the y-axis.
If you multiply x * 35 = 140
x is four.
Find the slope between these two points:
(-5,3) and (4,6)
Answer:
1/3
Step-by-step explanation:
Which graphs show continuous data?
Select each correct answer.
A line graph with Outdoor Temperature on the horizontal axis and Heating Cost on the vertical axis with a single line decreasing from left to right
A line graph with Outdoor Temperature on the horizontal axis and Heating Cost on the vertical axis with a single line decreasing steeply from left to right
A line graph with Outdoor Temperature on the horizontal axis and Heating Cost on the vertical axis with a single line starting from a high Heating Cost point decreasing from left to right
A graph with Outdoor Temperature on the horizontal axis and Heating Cost on the vertical axis with six points decreasing in a steep linear formation from left to right
Answer:
A B and D
Step-by-step explanation:
Answer:
Ok, ok, I see what's happening here
You're face to face with greatness, and it's strange
You don't even know how you feel
It's adorable
Well, it's nice to see that humans never change
Open your eyes, let's begin
Yes, it's really me, it's Maui
Breathe it in
I know it's a lot
The hair, the bod
When you're staring at a demi-god
What can I say except, "You're welcome"
For the tides, the sun, the sky
Hey, it's okay, it's okay
You're welcome
I'm just an ordinary demi-guy
Hey
What has two thumbs and pulled up the sky
When you were waddling yea high?
This guy
When the nights got cold
Who stole you fire from down below?
You're lookin' at him, yo
Oh, also I lassoed the sun
You're welcome
To stretch your days and bring you fun
Also I harnessed the breeze
You're welcome
To fill your sails and shake your trees
So what can I say except you're welcome
For the islands I pulled from the sea
There's no need to pray, it's okay
You're welcome
Ha, I guess it's just my way of being me
You're welcome
You're welcome
Well, come to think of it
Kid, honestly I could go on and on
I could explain every natural phenomenon
The tide, the grass, the ground
Oh, that was Maui just messing around
I killed an eel
I buried its guts
Sprouted a tree, now you got coconuts
What's the lesson?
What is the take-away?
Don't mess with Maui when he's on a break-away
And the tapestry here on my skin
Is a map of the victories I win
Look where I've been
I make everything happen
Look at that mean mini-Maui just tickety-tappin'
(Ha ha ha ha ha ha, hey)
Well, anyway let me say, "You're welcome" (you're welcome)
For the wonderful world you know
Hey, it's okay, it's okay, you're welcome (you're welcome)
Well, come to think of it, I gotta go (hey)
Hey, it's your day to say, "You're welcome" (you're welcome)
'Cause I'm gonna need that boat
I'm sailing away, away, you're welcome (you're welcome)
'Cause Maui can do anything but float
You're welcome
(You're welcome)
You're welcome
And thank you
The Coyotes pay their aging kicker $725,000 a year. He agrees to a 15% pay cut. What is his new salary?
Given:
Coyotes pay their aging kicker $725,000 a year.
He agrees to a 15% pay cut.
To find:
His new salary.
Solution:
Annual salary before pay cut = $725,000
Annual salary after pay cut = [tex]725,000-\dfrac{15}{100}\times 725,000[/tex]
[tex]=725,000-15\times 7250[/tex]
[tex]=725,000-108,750[/tex]
[tex]=616,250[/tex]
So, monthly new income is
[tex]\dfrac{616,250}{12}\approx 51354.167[/tex]
Therefore, his new salary is $51,354.167 per month.
Answer:
616,250
Step-by-step explanation:
15 percent of 752,000 is 108,750.
752,000 minus 108,750 is 616,250.
Thats your answer
if anils hieght was 150cm and amans height was 100cm then the ratio of their heights would be
Answer:
3/2 or 150%
Step-by-step explanation:
150:100 = 150/100 = 15/10 = 3/2
In other words, 150%
Jenny is having a party. She has one
large container of soda with 179
ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?
7x-5=2x SOLVE THE PROBLEM
Answer:
x = -17.5
Step-by-step explanation:
7x-5= -35
-35/2 = -17.5
Answer: The answer is x=1.
Step-by-step explanation: To solve this problem you’ll need to isolate the variable by dividing each side by factors that don't contain the variable.
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a ratio of 6:5 complete the chart, graph the data, and write the equation that models this proportional relationship
Answer:
just graph it 6 women to 5 men so put that on a graph?
Step-by-step explanation:
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 260, what is his approximate cholesterol level now?
what is the reciprocal of 4, 5/2, and 1/2
Answer:
1/4 2/5 2/1
Step-by-step explanation:
repcpical means you flip them upside down
Answer:
[tex]\frac{1}{4}[/tex], [tex]\frac{2}{5}[/tex], [tex]and[/tex] [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
Remember, to find the reciprocal of a fraction, you just have to switch the 2 numbers into the opposite place.
Q1: [tex]\frac{4}{1}[/tex] ⇒ [tex]\frac{1}{4}[/tex]
Q2: [tex]\frac{5}{2}[/tex] ⇒ [tex]\frac{2}{5}[/tex]
Q3: [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{2}{1}[/tex]
Hope this helps! <3
a. When x= -1, what is the value of y?
b. When y= 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
Answer:
When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5
Step-by-step explanation:
The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.
Please need helppppp
Answer:
90 degrees
Step-by-step explanation:
In the diagram, PT is parallel to QR. What is the measure of angle PQR in degrees?
Answer:
116 degrees
Step-by-step explanation:
Find the value of:
a) x2 when x = 6
b) y2 when y= -9
c) z2 when z = 0.7
Step-by-step explanation:
(a)= 6×2= 12
(b)= -9×2=-18
(c)= 0.7×2=1.4
Mr. Win owns a toy store. He wants to display 12 new motion toys in the store window. Each toy uses 3 batteries. If N represents the total number of batteries he needs, which sentence is correct?
Answer: See explanation
Step-by-step explanation:
You didn't state the sentences but let me help out based on the information given.
Number of new motion toys = 12
Number of batteries used by each toy = 3
Since N represents the total number of batteries he need, the value of N will be:
= Number of toys × Number of batteries used by each toy
= 12 × 3
= 36
That means N equals 36.
⚠️⚠️ DONT IGNORE ⚠️⚠️
1. How many miles does scooter A get for one gallon of gas
2. How many miles does scooter B get for one gallon of gas
Answer:
scooter A= 75 scooter b= 90
Evaluate the expression when c= -6.
c^2+ 7c+8
Answer:
2
Step-by-step explanation:
1. Substitute c with -6... so the equation would be -6^2 + 7(-6) + 8
2. Simplify... so -6^2 is 36 because when you square something you times it by itself and two negatives multiplied together equals a positive so -6*-6=36 then 7*-6 is -42 because a positive multiplied by a negative is always a negative
3. So now you have 36 + -42 + 8 or 36 - 42 +8 because an when adding a negative it’s basically just like subtracting because they cancel out
4. So when you simplify it’s simply it’s simply 2 because 36-42 is -6 added by 8 is 2
Sorry if this was confusing I’m really bad at explain gm but hope this helps :)
Hey there!
c^2 + 7c + 8
= -6^2 + 7(-6) + 8
= -36 - 42 + 8
= -78 + 8
= -70
Therefore, your answer is: -70
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
alabama power came by my house that i just bought and installed a new wire support for one of the telephone poles on the property the electrical code says that the support must hit the ground at a 55 degree angle. if the telephone pole is 25 feet tall how long is the wire support that alabama power just installed
Answer:
30 feets
Step-by-step explanation:
subtrqct 55-25 = 30
A firecracker is fired straight up into the air out of a window of a building. Its height, in meters, is given by h = − 5 t 2 + 30 t + 20 , where t is the time, in seconds, the fircracker has been in the air.
Answer:
See explanation
Step-by-step explanation:
Given that the equation for the firecracker is h = − 5 t^2 + 30 t + 20
It is impossible to solve this question unless the height (h) in meters is supplied. If the height was supplied, we could set up the quadratic equation and solve it yielding two values for the time. The values of t obtained is the time in seconds required for the firecracker to reach the given height h.
You can apply these tips and solve the question seamlessly.
PLZ HELP, ILL GIVE BRAINLIEST
Solve for x: one over eight (8x + 15) = 24
9
49
one hundred seventy-seven over eight
two hundred seven over eight
Answer: 177/8
Step-by-step explanation: Step 1: Simplify both sides of the equation.
1
8
(8x+15)=24
(
1
8
)(8x)+(
1
8
)(15)=24(Distribute)
x+
15
8
=24
Step 2: Subtract 15/8 from both sides.
x+
15
8
−
15
8
=24−
15
8
x=
177
8
Answer:
The person above is correct i got it right on my quiz. :)
Step-by-step explanation:
Angad is 9 years older than Peter. Krutika is 12 years younger than Peter. If the total of their ages is 75, how old is the eldest of them?
Answer:
Angad the eldest=32+9=41year
Step-by-step explanation:
Let peter is x years old. Then Angad is x + 9 years old and Krutika is
x - 12 years old. Then
x+(x+9)+(x−12)=75⟹3x−21=75⟹x−7=25
⟹x=32years
Angad the eldest=32+9=41year
what additional information is needed that the following triangle are congruent by SSS
Answer:
Side ACwith DF
Step-by-step explanation:
(- 5x - y + 1) - (- 7x + 6y - 4)
Answer:
2x-7y+5 hope this helps!
Step-by-step explanation:
Jakob is asking to simplify the expression -3a + 4b + 5a + (-7b).
He writes: -3a + 4b + 5a + (7b) = -3a + 5a + 4b + (7b).
Which property allows him to do this?
A. the associative property
B. the commutative property
C. the distributive property
D. the additive identity property
Answer:
B. Commutative
Step-by-step explanation:
He can do that because it's a sum
Answer:B
Step-by-step explanation:
If 3 < 1 - x, what is value for x
Answer:
x < -2
Step-by-step explanation:
Dan noticed that each of the four times he ate a hamburger and shake at a fast food emporium, he got a poor grade on a Spanish test that day. He conjectures that he should eat only Mexican food on the day of a Spanish test.
Poor or good inductive reasoning explain why?
Answer:
That is poor reasoning
Step-by-step explanation:
There is no evidence that because he ate a burger that he will get a good grade. He just sucks at Spanish. He should study more.
Question is in image answer question 1
Answer:
y = -6x -8
Step-by-step explanation:
4 = -6(-2) -8
4 = 12-8
4 = 4
The explaination above shows how to verify your answer.
Hope this helps u!
Can someone help me?
Answer: 17=2/9 and 16=3.6
Step-by-step explanation: