Answer:
3√5
Step-by-step explanation:
The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:
√9 × 5
Next, we separate the numbers inside the √ as such:
√9 × √5
√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:
3√5
The ratio of the length to the width of a 5:4. The length of the cereal box is 60 centimeters. How wide is the box
Answer:
48
Step-by-step explanation:
60 = 5x
x = 12
12x4 = 48
Which of the following are written in point-slope
form?
a) y + 2 = -9(x + 3)
b) y - 7 = 5(x + 1)
c) x - y = -3
d) y = -x +6
Answer:
y + 2 = -9(x + 3) and y - 7 = 5(x + 1)
Step-by-step explanation:
[tex]\text{Point-Slope form is:}\\\\y-y_1=m(x-x_1)\\\\\text{m - slope}\\\\(x_1,y_1) \text{ - a point}[/tex]
----------------------------------------
[tex]\text{Options A and B are written in point-slope form.}\\\\\\y+2 =-9(x+3)\\\\\text{The slope is -9 and the point used is (-3, -2).}\\\\\\y-7=5(x+1)\\\\\text{The slope is 5 and the point used is (-1, 7).}[/tex]
-----------------------------------------
[tex]\text{Option C is written in Standard Form.}\\\\Ax+By=C\\\\\\\text{Option D is written in Slope-Intercept Form.}\\\\y=mx+b\\\\\text {m - slope}\\\\\text{b - y-intercept}[/tex]
Hope this helps.
If a triangle measures 180 degrees, and you know that one of your angles = 90, and another angle = 45, what is the measure of the third angle?
Answer:45
Step-by-step explanation:
Well just take the sim of the two given angles then subtract them from the total measure of the triangle which is 180
Express as a trinomial.
(3x + 7)(3x – 9)
Answer:
9x² - 6x - 63
Step-by-step explanation:
Use the FOIL method. FOIL stands for First, Outside, Inside, Last.
Multiply following the FOIL:
3x * 3x = 9x²
3x * -9 = -27x
7 * 3x = 21x
7 * -9 = -63
9x² - 27x + 21x - 63
Combine like terms.
9x² (-27x + 21x) - 63
9x² - 6x - 63
9x² - 6x - 63 is your answer.
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A sample of trail mix has 15 peanuts an 10 raisins give the % of raisins in the mix!
Answer:
40%
Step-by-step explanation:
15+10 = 25
25 divided by 5 = 5
100 divided by 5 = 20
10 divided by 5 = 2
2*20 = 40
40% of the mix is raisins
area of plane and composite figures
please help me! im confused
Answer:
Mean:54
Step-by-step explanation:
Mean is the average number (total number of emails divided by how many days she sent them in)
Monday:28
Tuesday:46
Wednesday:52
Thursday:50
Friday:64
(28+46+52+50+64)/5
=270/5
=54
Answer:
48
Step-by-step explanation:
Monday- 28 emails
Tuesday-46 emails
Wednesday- 52 emails
Thursday-50 emails
Friday-64 emails
add them together- 240
240/5
The mean number of emails is 48
5.
Write the slope-intercept form of the equation for the line.
A. y = – 2x – 1
B. y= (1)/(2)x + 1
C. y= (1)/(2)x - 1
D. y = 2x – 1
I need help with this question
b divided 2 = 4.4
Answer: B= 8.8
Step-by-step explanation:
B/2 = 4.4
B/2 (2) = 4.4 (2)
B = 8.8
Elsa earns 52 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let a be the amount (in dollars) that Elsa earns in a week if she sells b books. Write an equation relating a to b . Then use this equation to find the amount of money Elsa earns if she sells 17 books.
Point O is the center of the circle. What is BCA?
A) 56°
B) 62°
C) 72°
D) 76°
Answer:
A) 62
Step-by-step explanation:
The angle of BCA is 62 degrees. thus, Option B. is correct.
What is the sum of angles of quadrilateral?The sum of the angles of the quadrilateral is 360 degrees.
We need to find the ∠BCA:
∠OBD = 90
∠OAD = 90
So angles in quadrilateral BOAD
56, 90, 90 and∠ BOA
56 + 90 + 90 + ∠BOA = 360
∠BOA = 360 - 90 -90 - 56
∠BOA = 124
∠BCA is angle at circumference
∠BOA = 124, is the angle at centre
Angle at Centre = 2 x Angle at circumference
Angle at Circumference = Angle at Centre / 2 = 124/2 = 62
∠BCA = 62 degrees
thus, Option B. is correct.
Learn more about quadrilateral ;
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Please <33333333333333333333333333333
Answer:
9e^5f^6
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y = 3x - 3
y = -2+1
what is an equation of the line that passes through the points (-6, -2) and (-3,2)
Answer:
y = 4/3x + 6
Step-by-step explanation:
Consider the equation shown.
x – 3 = 2x + 14
What is the solution to the equation?
A. -17
B. -11
C. 11
D. 17
Answer:
A
Step-by-step explanation:
Given
x - 3 = 2x + 14 ( subtract x from both sides )
- 3 = x + 14 ( subtract 14 from both sides )
- 17 = x → A
Answer:
D
Step-by-step explanation:
we collect like terms to remain with
x-2x =14+3
-x =17
divide both sides by -1 to remain with
X = 17
Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?
Answer:
1/12 per bag
Step-by-step explanation:
A Fisherman spent his weekend working on his farmland
He had 1/6 of a bag of soil
He spreads it evenly among his 2 garden beds
Therefore the soil in each garden bed can be calculated as follows
= 1/6 ÷ 2
= 1/6 × 1/2
= 1/12 per bag
Callie has $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?
Answer:
0.95 or .95
Step-by-step explanation:
Mrs. Diaz graded 24 tests in 0.5 hours. How many tests per hour did she grade?
Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error.
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
PLEASE HELP ASAP!
:(
Answer:
hit the square
Step-by-step explanation:
I'm pretty sure you have to hit the square and then that would be number two
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
HELP DUE IN 60 MINS!
21. What should go in Reason 1?
22. What should go in Reason 2?
23. What should go in Reason 3?
These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.
Answer:
corresponding angle , Reflexive Property of CongruenceAA APostulate,Please please help me before it's to late
Answer:
it is the 3rd one to the bottem
o.7 - 0.31 = 0.39
Step-by-step explanation:
2(x+11)=3x=42simplify
Answer:
2x+22=42
Step-by-step explanation:
2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10
how do i calculate the answer please help.
hnhhhhhhhhhhhhhhhhhhh
Answer:
Step-by-step explanation:
First let's find the circle without the gray area. We would have:
[tex]\pi r^2=\pi 36^2=\pi1296[/tex]
Next let's find the area of the circle with the gray area. We would have:
[tex]\pi r^2=\pi50^2=\pi2500[/tex]
Now we subtract and get:
[tex](2500-1296)\pi=\boxed{1204\pi}[/tex]
HOPE THIS HELPS
please help me and explain to me how you got the answer, pls don’t just say the answer explain how. will mark brainliest if you get it right!
Given:
The height of the swipe card in feet after t seconds is
[tex]h(t)=-3t^2+15t+18[/tex]
To find:
The maximum height of the swipe card and the time at which it reaches this height.
Solution:
We have,
[tex]h(t)=-3t^2+15t+18[/tex]
Here, leading coefficient is -3, which is negative. It means it is a downward parabola and the vertex of the downward parabola is the point of maximum.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex is
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
In the given function, we get
[tex]a=-3,b=15,c=18[/tex]
Now,
[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-3)}[/tex]
[tex]-\dfrac{b}{2a}=2.5[/tex]
Putting t=2.5 in the given function, we get
[tex]h(2.5)=-3(2.5)^2+15(2.5)+18[/tex]
[tex]h(2.5)=36.75[/tex]
So, the vertex of the given parabola is at (2.5,36.75).
Therefore, the maximum height of the swipe card is 36.75 feet and it reaches this height after 2.5 seconds.
Which equation matches the graph?
Answer:
c
Step-by-step explanation:
Divide 32x3 + 48x2 − 40x by 8x.
4x2 − 6x + 5
4x2 + 6x − 5
4x3 − 6x2 + 5
4x3 + 6x2 − 5
Answer:
4x^2 + 6x - 5.
Step-by-step explanation:
Dividing term by term:
= 4x^2 + 6x - 5.
By Dividing 32x^3 + 48x^2 − 40x by 8x, we get 4x^2 + 6x - 5. Thus, option B is correct.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We have to Divide 32x^3 + 48x^2 − 40x by 8x.
32x^3 + 48x^2 − 40x
Take 8x common from each term
8x(4x^2 + 6x − 5)
Dividing term by 8x term:
8x(4x^2 + 6x − 5) / 8x
= 4x^2 + 6x - 5.
Thus, option B is correct.
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The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?
Answer:
4/48 simplified by 4 = 1/12
The probability is 1/12
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