Answer: 41 units
Step-by-step explanation: took the quiz
The length of the diagonal is 41 units.
To find the length of a diagonal.
What is rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]9^{2} +40^{2} =c^{2}[/tex]
[tex]81+1600=c^2\\1681=c^2[/tex]
sqrt both sides
41=c
So, the length of the diagonal is 41 units.
Learn more about rectangle here:
https://brainly.com/question/19610543
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4x^2-21x-18=0
Find the discriminate
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:729
Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729
PLEASE ANSWER !!
The graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2 what is the zero of f ?
Answer:
Check the explanation.
Step-by-step explanation:
As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.
As the slop-intercept form is given by:
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept.
substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.
[tex]y = mx+b[/tex]
[tex]-10=\frac{5}{2}\left(-2\right)+b[/tex]
[tex]-\frac{5}{2}\cdot \:2+b=-10[/tex]
[tex]-5+b=-10[/tex]
[tex]-5+b+5=-10+5[/tex]
[tex]b=-5[/tex]
And the equation of the line in the slope-intercept form will be:
[tex]y = mx+b[/tex]
putting b = -5 and slope = m = 5/2
[tex]y = mx+b[/tex]
[tex]y=\frac{5}{2}x+\left(-5\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Determining the zero of function.
As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.
so let us determine the value of x (zero of function) by setting y = 0.
[tex]0=\frac{5}{2}x-5[/tex]
[tex]\frac{5}{2}x-5=0[/tex]
[tex]\frac{5}{2}x=5[/tex]
[tex]5x=10[/tex]
[tex]x=2[/tex]
Therefore, the zeros of the function will be:
x = 2Guys quickly what is 1% of 75?
Answer:
the answer is 0.75
...................................
Y0UR M0MWY 100KS L1KE TH1$
Answer:
I'm confused to what this means
Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.
Answer:
1.
Step-by-step explanation:
both A and B are functions
HELP ASAP PLEASE WILL GIVE BRAINLIEST
pls give explanation too
graph f(x) = |x+5|
1 1/4 hours is = how many minutes
Answer: 75 minutes
Step-by-step explanation:
Answer:
75 minutes
Step-by-step explanation:
1 hour= 60 minutes
1/4 of an hour= 25 minutes
1 1/4= 75 minutes
Hope this helped!
A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false
Answer:
Pretty Sure False.
Answer: false
Step-by-step explanation: a pex
Express 0.00419 in standard form
Round 9,675,599 to the nearest 1,000.
Answer: 9,676,000
Step-by-step explanation:
Increase the digit by 1 if the previous digit is 5 or above
Answer: 9676000
Step-by-step explanation: you have to go the thousands place and round up because anything 5 or below round up
Distribute - 4(5x ^ 2 - 2x)
Answer:
−2 0 2 + 8
Step-by-step explanation:
PLEASE HELP!!
Enter numbers into the table so that the paired values are in a proportional relationship.
x 2 6 8 (?) 20
y (?) 3 4 6 10
fill the (?) in.
Answer: x is, 2 6 8 10 20-- i think
Step-by-step explanation: y is, 2 3 4 6 10
Answer:
ya he's rite
Step-by-step explanation:
An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday
Answer:
x=16
Step-by-step explanation:
JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?
Answer: $9.20
Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.
Answer:
$1.20
Step-by-step explanation:
He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.
He wants to leave 115% of the $8 he has to leave.
So you set it up like
x/8 = 115/100
Then you solve for x
8(115) = 920
920/100 =9.2
So he will leave $9.20.
It then asks for just how much the tip is that he will leave so
9.2 - 8 = 1.2
So the tip is $1.20.
gil borrows $8000 for college expenses. he will pay a total of $2280 back in interest after 6 years. what was his interest rate
Answer:
R = 41.8129%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/6)((8000/2280) - 1) = 0.41812865
r = 0.41812865
Converting r decimal to R a percentage
R = 0.41812865 * 100 = 41.8129%/year
The interest rate required to get a total amount, principal plus interest, of $8,000.00 from simple interest on a principal of $2,280.00 over 6 years is 41.8129% per year.
Step-by-step explanation:
Answer:
I believe it is 4.75 %
Step-by-step explanation:
2,280 × 100 = 228,000
228,000 / 8,000 = 28.5
28.5/6 = 4.75 %
What is the value of x?
-5x – 2 = -13
Answer:
2.20
Step-by-step explanation:
So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself
So when you divide it x=2.20
Hope that helps
Brian rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. Brian had to pay $254.05 when he returned the truck. For how many miles did he drive the truck?
Answer:
Step-by-step
Answer:
254.05 - 20.95 = 233.10 / .90 = 259
Step-by-step explanation:
Aline that intersects two or more lines at different points
9514 1404 393
Answer:
transversal
Step-by-step explanation:
A line that crosses others in the same plane might be referred to as a transversal. The most common usage of this term is in cases where the crossed lines are parallel or nearly so.
please help me solve it
Answer:
2(a)=20t
Step-by-step explanation:
Mark me as brainliest
Evaluate if x = 4 helppp
help i’ll give brainliest
Answer:
I think its 4.5
Step-by-step explanation:
area is length × width
Work out the missing numbers
Answer:
A -19
B -35
C -180
D-9
Step-by-step explanation:
Answer:
1.= -19 2. -35 3. -180 4. -81
Step-by-step explanation:
Help me!!
1C) Write the equation of the line with slope = 5 and through the point (-2, 4).
Your answer
Answer:
y=5x+14
Step-by-step explanation:
The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equation?
I have been stuck on this and don’t know what the answer is
Answer:
x= -1 or x= -11
Step-by-step explanation:
Answer:
i think its D. Im not fully sure
Step-by-step explanation:
SOMEONE JUST GIVE ME THE ANSWER
Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)
Step-by-step explanation:
Answer:
Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.
Step-by-step explanation:
(Type an integer or a decimal)
Answer:
3
Step-by-step explanation:
3y=12y-27
27=9y
y=3
Simplify the following expression five to the power of -3
what is 12.0 - 9.6= what
Answer:
Step-by-step explanation:
2.4
Answer:
2.4
Step-by-step explanation:
9.6 to 10 is .4
10 to 12 is 2
2+.4= 2.4
(That's how I do it mentally, sorry if it doesn't help with you)
Find the missing part of the triangle.