Answer:
c ≥ -5
Step-by-step explanation:
-5c +2 ≤ 27
Subtract 2 from each side
-5c +2-2 ≤ 27-2
-5c ≤25
Divide by -5, remembering to flip the inequality
-5c/-5 ≥25/-5
c ≥ -5
Answer: [tex]x\geq 5[/tex]
Step-by-step explanation:
[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]
It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.
Hope it helps <3
What is the Square root of -100
Answer:
[tex]10i[/tex]
Step-by-step explanation:
√(-100)
Use the imaginary number rule [tex]i=\sqrt{-1}[/tex]
√(-1) × √(100)
i × √(10²)
i × 10
= 10i
Answer:
It does not have a square root because it is a minus digit.
Step-by-step explanation:
The square root of one number is the number which is multiplied by itself to form the square number.
But, no negative number has a square root, because
- x - = +
+ x + = +
As you can see, no two same signs multiply together to form a negative.
Hope this helps.
Good Luck
Juan hiked to the top of a 3,000-foot mountain and back down without taking a break. Which graph best represents Juan's distance from the top of the mountain during the entire hike?
Answer:
Top left graph.
Step-by-step explanation:
If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.
Answer:
Graph A is the most acuurate
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
Step-by-step explanation:
This can be done using the completing the square method.
The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]
[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]
Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]
[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]
Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]
Divide through by 3
[tex]x^2 + y^2 + 4x + 6y = 5[/tex]
[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]
Divide through by 5
[tex]x^2 + y^2 - 2x + 4y = 6[/tex]
[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]
Divide through by 2
[tex]x^2 + y^2 - 12x - 8y = 4[/tex]
[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]
[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]
Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
For Plato / Edmentum
Just to the test and got it right ✅
two angles of a triangle measure 32 degrees and 62 degrees what is the measure of the third angle? A) 76 degrees B) 86 degrees C) 94 degrees D) 96 degrees
Answer:
86 B
Step-by-step explanation:
32+62=94
180-94=86
The sum of the interior angles of a triangle always add up to 180 degrees.
Answer:
The third angle is 86
Step-by-step explanation:
The sum of the angles of a triangle add to 180
32+62+x = 180
94+x = 180
Subtract 94 from each side
x = 180-94
x =86
Please Help...Anyone? I am revising for a test tomorrow, so please explain how you get the answer, too.. The ratios of the ages of Sunil and his Wife is 4:3. After 4 years, the ratio will be 9:7. What is the present age of Sunil
Answer:
32 years old
Step-by-step explanation:
Please see attached picture for full solution.
Let Sunil's present age be 4x and his wife's present age be 3x.
Find w please help me
Answer:
w = 77°
Step-by-step explanation:
From the picture attached,
WXYZ is a quadrilateral having 4 interior angles,
m∠y = 90°
Therefore, (2x - 10) = 90°
2x = 90 + 10
2x = 100
x = 50
Now, m∠z = (x + 15)° = 65°
m∠x = (3x - 22)° = 150 - 22
= 128°
Sum of interior angles of a polygon = (n - 2)×180°
where n = Number of sides of the polygon
If n = 4,
m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°
w + 128 + 90 + 65 = 360
w = 360 - 283
w = 77°
Therefore, measure of w = 77°
how many millimeters are in a meter
Answer:
There are 1000 millimeters in a meter.
Step-by-step explanation:
I really hope this helps in any way.
Answer:
1,000
Step-by-step explanation:
The word millimeter has the prefix of 'milli-'.
'Milli-' means a thousand.
Applying the prefix meaning to the word, a millimeter would be a thousandth of a meter.
There are 1,000 millimeters in a meter.
Brainilest Appreciated.
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
Which expression represents a difference of squares ?
Answer:
first and last options
Step-by-step explanation:
Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².
Answer:
1 and 4
Step-by-step explanation:
can someone in here help me with this question I'm stuck and I don't know to do it
Answer:
Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table
PLS HELP ASAP! A decoration is packed in a box shaped like a cube. The decoration has a volume of 651 cm3. Approximately how much empty space remains in the box?
This question is incomplete.
Find attached to this question the diagram of the cube.
Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF
Answer:
128cm³
Step-by-step explanation:
The diagram of the box shows it has a side length of 9.2cm
Volume of a cube =( Length)³
Volume of a cube =( 9.2cm)³
= 778.688cm³
We are told in the question that the decoration packed in the cube has a volume of 651 cm³.
The amount of empty space remaining in the box is calculated as:
778.688cm³ - 651cm³
= 127.688cm³
Approximately to the nearest whole number = 128cm³
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
11.67
Step-by-step explanation:
Data given in the question
∠ADC = 42°
∠BAC = 68°
Let us assume that AC be Y
Now
In ΔACD
tan 42° = AC ÷ CD = Y ÷ x ...............................(i)
In ΔACB
tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)
Now take the value of Y from the equation (ii)
Y = 26 ÷ Tan 68° ...................... (iii)
Now place the value of Y in equation (i)
So,
Tan 42° = 26 ÷ tan 68° × X
X = 26 ÷ tan 68° × Tan 42° ......................(iv)
Now placing the values of tan 42° and tan 68° in equation (iv)
So,
X = 26 ÷ 0.900 × 2.475
= 11.67
The tan 42° = 0.900
And, the tan 68° = 2.475
Find the solution of this system of equations
- 2x + 10y = -22
-2x - 4y = 6
Answer:
x = 1, y = -2
Step-by-step explanation:
- 2x + 10y = -22 _______(1)
-2x - 4y = 6 _______(2)
From (1),
10y + 22 = 2x
x = (10y + 22) / 2
x = 5y + 11 .______(3)
Substitute (3) into (2),
-2 ( 5y + 11) -4y = 6
-10y - 22 - 4y = 6
-14y = 6 + 22
-14y = 28
y = 28/ -14
y =-2
Substitute y = -2 into (3).
x = 5y + 11
x = 5(-2) + 11
x = -10 + 11
x = 1
Therefore, the solution is x = 1, y = -2.
trig and picture pls help
Answer:
Im pretty sure that the answer is 32.
Step-by-step explanation:
Hope this helps
EXCELLENT VOTE!! (only if u give the CORRECT answer)
Answer:
Option C
Step-by-step explanation:
Answer:
B.
You need to subtract 1 term because you don't include the starting 5
4^10 - 1 = 4^9
You multiply 5 by 4 each time for 9 times so it is 5 x 4^9
Hope this helps
Step-by-step explanation:
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.
Answer:
D
Step-by-step explanation:
Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote
Which polynomial identity will prove that 35 = 27 + 8?
What is the 5th equivalent fraction to 1/11 ?
Answer: 5/55
Step-by-step explanation:
1/11 x 5 = 5/55
So, the fifth equivalent fraction to 1/11 is 5/55.
The 5th equivalent fraction should be [tex]5\div 55[/tex]
Calculation of the equivalent fraction:Since the fraction is [tex]1\div 11[/tex]
So here the 5th equivalent should be
[tex]= 1\div 11 \times 5\div 5[/tex]
= [tex]5\div 55[/tex]
Here 5 represent the numerator and 55 represent the denominator.
Therefore, we can concluded that The 5th equivalent fraction should be [tex]5\div 55[/tex]
Learn more about fraction here: https://brainly.com/question/1786648
A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Step-by-step explanation:
For one course:
6+8+5=
Two courses with appetizers and main meals (* means times)
6*8
Two courses with appetizers and dessert
6*5
Two courses with main meals and dessert
8*5
Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?
Answer:
Step-by-step explanation:
We can use the intercept form of the equation of a line, then solve for y.
Intercept form
x/(x-intercept) +y/(y-intercept) = 1
x/-4 +y/8 = 1
__
Solving for y, we have ...
-2x +y = 8 . . . . multiply by 8
y = 2x +8 . . . . add 2x
The coefficient of x is 2, so the slope is 2.
__
The graph shows you the rise is 8 for a run of 4, so ...
slope = rise/run = 8/4
slope = 2
Find the total surface area of this cylinder. Give your answer to one decimal place PLEASE HELP THANK YOUUUU
Answer:
Step-by-step explanation:
surface area of cylinder=2 πr²+2πrh
=2πr(r+h)
=2π×12(12+18)
=24π×30
=720π
≈2261.9 cm²
convert the decimal to a simplified fraction 0.8=
Answer:
4/5
Step-by-step explanation:
You know 0.8 x 10 = 8, so 8/10 is the fraction.
Now, simplify 8/10.
8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Step 1: Convert decimal to fraction
0.8= 8/10
Step 2:Simplify
8/10=4/5
Help plz and plz write it down on paper and send me a picture ❤️
Answer:
Step-by-step explanation:
(27)^2/3=∛27²=∛3³*3³=3*3=9
√36³=√36*36*36=√6²*6²*6²=6*6*6=216
(-243)^3/5=5√2-42³=-27
whats the cube root of 3375 by prime factorization
Answer:
15
Step-by-step explanation:
Prime factors of 3375 are 3, 3, 3, 5, 5, 5.
Since you need the ∛ of 3375, ∛3375=15
Answer:
15
Step-by-step explanation:
15x15x15=3375
PLEASE HELP!!!! BRAINLIEST FOR RIGHT ANWSER
Answer:
d.tigers have a great IQR because they were some very heavy tigers.(high outliers)
Write a two-column proof. Given: <2 is congruent to <5; Segment AB is congruent to Segment DE Prove: Segment BC is congruent to Segment EC
Answer:
proof
Step-by-step explanation:
Statements
Reasons
<2 is congruent to <5; Segment AB is congruent to Segment DE
Given
<3≅<4
Vertical angle theorem
ΔCDB≅ΔCAE
AAS
Segment BC is congruent to Segment EC
CPCTC
The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.
Given :
Angle 2 is congruent to angle 5.Segment AB is congruent to Segment DE.The following steps can be used in order to prove that segment BC is congruent to segment EC:
Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.
Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.
Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.
Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.
For more information, refer to the link given below:
https://brainly.com/question/25813512
which of the following angles is coterminal with 5pi/3? pi/3, 2pi/3, 4pi/3, 5pi/3
Answer:
5pi/3
Step-by-step explanation:
For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.
The angle of consideration is 5pi/3
Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.
5pi/3 - pi/3 = 4pi/3
5pi/3 - 2pi/3 = 3pi/3 = pi
5pi/3 - 4pi/3 = pi/3
5pi/3 - 5pi/3 = 0 = 0(2pi)
5pi/3 is co-terminal with itself
please help, tysm if you do
the length of a rectangle is 2 cm less than three times the width. the perimeter of the rectangle is 92 cm. find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
I hope it will help you.......
The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apart are the two cities?
Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.
Answer:
27.5 miles
Step-by-step explanation:
You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.
2 3/4 * 10
11/4 * 10/1 = 55/2
27 1/2 or, 27.5
If h(x) = 5 + x and f(x) = 5, which expression is equivalent to (kn)(x)?
Answer:
Step-by-step explanation:
The question is not correctly written, here is the correct question.
If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?
(koh)(x) can be rewritten as k{h(x)}
Since h(x) = 5+x then, k{h(x)} = k(5+x)
Note that k(x) can be written as 5x°
k(5+x) = 5(5+x)°
Since any value raise to the power of zero is 1, then;
k(5+x) = 5(1)
k(5+x) = 5
(koh)(x) = k{h(x)} = 5
For (hok)x;
(hok)x = h{k(x)}
= h(5)
= h(5x°)
Since h(x) = 5+x
h(5x°) = 5+5x°
h(5x°)= 5+5 = 10
(hok)x = h(k(x)) = 10