Answer:
c.
Step-by-step explanation:
What is the area of the rectangle with the given dimensions? *
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9
Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?
Answer:
A
Step-by-step explanation:
You people my pl
Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.
Find the value of a in the diagram below:
20
40°
200°
Help me please I don’t know this stuff
hello please help i’ll give brainliest
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Answer: 1/2
Explanation:
1/4 - (-1/4) = 1/4 + 1/4 = 1/2
I hope this helped!
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- Zack Slocum
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Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).
Answer:
The answer is A
Step-by-step explanation:
just got it right on edge :)
The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
What is Rotation?A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.
90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .
- Then matrix of the rotation 90° is
[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]
We have the point U (-4, 7) and its image is
U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]
U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]
and, point V is (5, 4) and its image is
V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]
V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]
and, point W is (5, -5) and its image is
W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]
W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]
So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
Learn more about Rotation here:
https://brainly.com/question/12518192
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reflect the triangle in the mirror line
Answer:
correct me if im wrong bb
Simplify fully125y2/10xy
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
please show your work.
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years
Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1
Answer:
B. y = 4x
2 + 4
Step-by-step explanation:
sana nakatulong
I f m<4=30 degrees, find m<3
m<3=60°
Answer:
m<4+m<3=90° each angle of rectangle is 90°
m<3=90-30=60°
One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles
Answer: 84° & 66°
Step-by-step explanation:
find our variables...
difference in two unknown angles is 18 so...
Let's use a, b, & c to set up
a=30 b=b c=b-18
150=b+c
150=b+(b-18)
150=2b-18
168=2b
84=b
Use our known b to find c...
c=b-18
c=84-18
c=66
Adding all three up to make sure they give us 180 degrees is a good way to check our work.
a+b+c=
30+84+66=180
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
What is the GCF for 4x^2yz^3 and 12xz^2
Answer:
The great common factor is:
x(2z)²Steps:
given:
4x²yz³12xz²4x²yz³ = 2²x²z²yz
4x²yz³ = x(2z)²xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = x(2z)²3
The great common factor is: x(2z)²
Answer:
4xz^2.
Step-by-step explanation:
GCF of 4 and 12 is 4
GCF of x^2 and x is x.
GCF of z^3 and z^2 is z^2.
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
Help me with Math
( graphs )
PLEASEEE
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)
Answer:
You'd need 2/5 of 9.2 pints of blue paint
2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint
Step-by-step explanation:
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
Thannnnkkk youuuuuuuuu of youuuu helpp
how many times can 82 go into 401
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
i need help please this is quite hard for me