Answer:
1. Width = x + 2
2. Length = 12; width = 9
3. x² + 7x + 10
4. 108
Step-by-step explanation:
perimeter = 4x + 14
length = x + 5
1. Perimeter of a rectangle = 2(length + width)
4x + 14 = 2{(x + 5) + width}
4x + 14 = 2x + 10 + 2width
4x + 14 - 2x - 10 = 2width
2x + 4 = 2width
Width = (2x + 4)/2
Width = x + 2
2. Perimeter of a rectangle = 2(length + width)
42 = 2{(x + 5) + (x + 2)}
42 = 2x + 10 + 2x + 4
42 = 4x + 14
42 - 14 = 4x
28 = 4x
x = 28/4
x = 7
length = x + 5
= 7 + 5
= 12
Width = x + 2
= 7 + 2
= 9
3. Area of the rectangle = length × width
= (x + 5)(x + 2)
= x² + 2x + 5x + 10
= x² + 7x + 10
4. Area of the rectangle = x² + 7x + 10
When x = 7
x² + 7x + 10
= 7² + 7(7) + 10
= 49 + 49 + 10
= 108
What is the y-intercept of the graph of y = 2.5*?
3/4 years equal how many months
Answer:
9
Step-by-step explanation:
Please help I’m in the middle of a math test and I’m very confused
Answer:
2
Step-by-step explanation:
in my opinion with out (0,0) there is no others
Can someone help me please
Answer:
to find how many sales Ross made in a day divide 27 by 3 and to find Mona's divide 49 by 7 since there is 7 days in a week
Step-by-step explanation:
27/3 = 9 so Ross made 9 sales in a day
49/7 = 7 so Mona made 7 sales in a day
9>7
therefore Ross made more sales
20% of 49 is?
NEED HELP
Answer:
Step-by-step explanation:
20% of 49 = [tex]\frac{20}{100}*49=0.2*49=9.8[/tex]
would n-3/n+3 cancel out?
Answer:
Let's work this out.
n - 3 / n + 3
n / n + 6
In order to avoid it cancelling out, we only cancelled out one side.
2n = 6
n = 3
When working with positive and negative numbers, the further left you move on the number line, the________the numbers are and the further right you move on the number line, the_________ the numbers are.
fill in the blanks please
Which number line represents the solutions to 1-2x1 = 4?
+
4
-10-8-6-4-20
2
6
8
10
f
+ +
-10 -8 -6 -4 -2 0
+
6
+
8
2
4
10
+
O Att
-10-8-6-4-20
+
6
2
4
8
10
+
-10 -8 -6 -4 -2
+
2
+
4
O
6
8.
10
Answer:
The third number line where x = -2, 2
Step-by-step explanation:
The solution is, the number line represents the solutions is given below.
here, we have,
given equation is,
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
To learn more on number line click:
brainly.com/question/29162579
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What is the difference between the amounts of interest Henry and Ingrid paid for their loans
Answer:
When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.
Step-by-step explanation:
Good luck on the rest of the quiz
Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.
Answer:
x=8.4Step-by-step explanation:
[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]
hope it helps....
have a great day :)
It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,
Answer:
[tex]k=\dfrac{5}{4}[/tex]
Step-by-step explanation:
Given that,
y varies directly as x. It means,
y = kx
Where
k is the constant of variation
or
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]
So, the constant of variation is [tex]\dfrac{5}{4}[/tex].
The line segment between (9,6) and (-2,-1) is bisected at (3.5,2.5). Find the y-intercept of the perpendicular bisector.
Ans: y-intercept = (0, _____)
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
Help asap for brianlist
Answer:
⅔ (option two)
Explanation:
on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.
i hope this helps! :D
a. The ratio of pages read by Liam to
pages read by Amir is 1:5. If Liam read
12 pages, how many pages did Amir
read? Explain your reasoning.
ANSWER QUiCK PLZZ NO WEBSITE
Step-by-step explanation:
For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages
can u help me find the surface area for my work
Answer:
258
Step-by-step explanation:
There is a triangle and a parallelogram.
The triangle's area: 1/2 bh is 30
The parallelogram bh is 12*19
add them up and it is 258.
Can you follow me on Brainly?
Thanks!
Answer:
744; 1,206
Step-by-step explanation:
Prism 1:
2(19*13) + 5*12 + 2(5*19)
Multiply all the sides.
494 + 60 + 190 = 744
Prism 2:
2(20*9) + 2(18*20) + 9*14
360 + 720 + 126 = 1,206
Hope this helps (:
Rewrite the sum of 30 and 42 by factoring out of the greatest common factor
Answer:
12
Step-by-step explanation:
Factors of 30: 1,2,3,5,(6),10,15,30
Factors of 42: 1,2,3,(6),7,14,21,42
30 divided by 6, 42 divided by 6
(5) + (7)= 12
help me, please answer this question
Answer:
[tex]x = 9[/tex]
[tex]y = 17[/tex]
Step-by-step explanation:
This is a cyclic quadralterial so opposite angles are supplementary.
The x variables add up to 180 so
[tex]11x + 8 + 8x + 1 = 180[/tex]
[tex]19x + 9 = 180[/tex]
[tex]19x = 171[/tex]
[tex]x = 9[/tex]
The y variables add up to 180.
[tex]6y - 4 + 5y - 3 = 180[/tex]
[tex]11y - 7 = 180[/tex]
[tex]11y = 187[/tex]
[tex]y = 17[/tex]
Help me pleaseee i need helpppp fast!!
Answer:
Awnser #3
Step-by-step explanation:
Justr did it
A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study? The population is all 50 members of the health club. The population is all 600 and 50 members of the health club. The population is all 600 members of the health club. The population is all 30,000 members of the health club.
Answer:
The population is all 600 members of the health club
Explanation:
50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.
Independent Practice
Which property justifies the step shown in solving this equation?
− y−5=11
−y−5+5=11+5
A.
Multiplication Property of Equality
B.
Addition Property of Equality
C.
Division Property of Equality
D.
Subtraction Property of Equality
Answer:
i dont know
Step-by-step explanation:
What's the slop and y intercept of 4y = 2x - 12
Answer:
slope: [tex]\frac{1}{2}[/tex]
y-intercept: (0,-3)
Step-by-step explanation:
First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:
[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]
Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].
In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).
Evaluate the exponential expression. 14^2
Answer:196
Step-by-step explanation:
Answer:
196
Step-by-step explanation:
Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.
PLEASE HELP ME ITS MY LAST QUESTION!!
Write three very large numbers and three very small numbers. Now write them using scientific notation. Then
perform one calculation with the numbers.
100 = 10^2
1000 = 10^3
10000 = 10^4
0.1 = 10^(-1)
0.01 = 10^(-2)
0.001 = 10^(-3)
Now,
100 × 0.1 = 10^2 × 10^(-1)
= 10
I will mark you brainiest if you can answer this
Answer:
9 buses
12 cars
(Step-by-step explanation:
x=bus x+y=21 --> y=-x+21
30x+4y=318 --> y= -30x/4 + 318/4
y=car
x= 9
y=12
:) hope this help
If I have the coordinats (4, 3) and (2, 2) what is distance do we get
Answer:
※※※※※※※※※※※※※※※※※
Hi! The answer to your question is [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Use the Distance Formula to determine the distance between two points.
- Brooklynn Deka
❣❣
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
the answer would be A because that makes a straight line.
plss help i’ll give brainliest thank you!
Answer:
D
Step-by-step explanation:
As,
-10 is always greater than -13
Hence, -13 < -10
What is the y-intercept of the line?
A: -2
B: 0
C: 1
D: 1/2
Answer:
C: 1
this answer is c because the line is one the Y intercept of 1
Help brainliest question!!!
Answer:
The second option
Step-by-step explanation:
Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.
Someone please help!
Given:
[tex](\sin x)^2+(\cos x)^2=1[/tex]
[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We have,
[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]
Putting this value in the Pythagorean identity, we get
[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]
[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]
[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]
[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]
[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]
[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]
[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]
Taking square root on both sides, we get
[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]
[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]
The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].
Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].