[tex]12 {x}^{2} + 8x + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Which of the following is the converse of the statement "If it is snowing,then
it is my birthday"?
O A. If it is not my birthday, then it is snowing.
O B. If it is my birthday, then it is snowing.
C. If it is not my birthday, then it is not snowing.
D. If it is my birthday, then it is not snowing.
Answer:
B)
Step-by-step explanation:
to get the converse, interchange the hypothesis and conclusion
in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"
Converse would then be "If it is my birthday, then it is snowing"
To get the x and the y
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]
; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]
; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
PLEASE HELPPPP I NEED THIS FASTTTTT
Answer:
[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]
Answer each question and round your answer to the nearest whole number
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
Calculate the area of the figure.
HELP
Answer:
Step-by-step explanation:
A=bh A=7*8 A=56units^2
Answer:
34
Step-by-step explanation:
i think its 34
Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?
Answer:
The number is 222
Step-by-step explanation:
The given parameters are;
The method Ashley models the 3 digit number = A mix of six base-ten blocks
The digits of the 3 digit number are equal
Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;
Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;
x = y = z...(1)
x + y + z = 6...(2)
Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;
x + y + z = x + x + x = 6
∴ 3·x = 6
∴ x = 6/3 = 2
x = 2 = y = z
Therefore, the 3-digit numbers xyz = 222
plzzzzzzzzzzzzz helpppppppppppppp
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?
Answer:
She swims 9m in one second
Step-by-step explanation:
What is the surface area of the ice cream
cone? (Hint: The top of the cone is open and
not included in the surface area.)
mm
Cone Surface Area =
Answer:
[tex]13194.7\ mm^2[/tex]
Step-by-step explanation:
The total surface area of a cone is given by:
Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]
where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]
Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:
[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.
Answer:
About 13.45 miles ( rounded )
Step-by-step explanation:
You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])
[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.
[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.
So, now you have to square both of them.
[tex]9^{2}[/tex] = 81 ( 9 x 9 ) [tex]10^{2}[/tex] = 100 ( 10 x 10 )
Which you will get 81 and 100. Then you add those two numbers together.
100 + 81 = 181
Now that you have 181, you have to square root 181.
[tex]\sqrt{181}[/tex]
With that you should get 13.45 miles. (rounded)
find the area of the following figure
Answer:
6
Step-by-step explanation:
First side times hight or 3x4=12
12 is a whole square, but this is a triangle (Half of a square)
So we divide by 2 to find the area. 12/2=6
6
Answer:
Area=6
Step-by-step explanation:
Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6
Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth
Answer:
4.03cm
Step-by-step explanation:
Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.
To get the diameter, we will use the pythagoras theorem as shown;
d² = 7² + 4²
d² = 49 + 16
d² = 65
d = √65
d = 8.0622577
Since radius = d/2
radius = 8.0622577/2
radius = 4.0311288
Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm
hey! pls help i’ll give brainliest
Answer:
landslide
Step-by-step explanation:
Answer:
I believe that the answer might be the second one
Volcanic Eruption
which expression is equivalent to 6x*3 + 3y*2 - 5x*3 + 2y*2
Answer:
3x + 10y
Step-by-step explanation:
Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y
Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y
Solution: 3x + 10y
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answer:
y=-5x-9
Step-by-step explanation:
helppppp meeeee plz i'll give brainliest!!!
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
How do this I can’t do it?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, scaled copy to original
scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
y = x2 – 14x + 23
y = - 3x + 5
Answer:
let first equation be y=x^2-14x+23
second equation be y=-3x+5
now substitute the vale of y in equation second
y=-3x+5
x^2-14x+23=-3x+5
x^2-14x+3x=5-23
x^2-11x=-18
x^2-11x+18=0
x^2-(9+2)x+18=0
x^2-9x-2x+18=0
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
either x-2=0 Or, x-9=0
x-2=0
x=0+2
x=2
x-9=0
x=0+9
x=9
therefore x=2,9
Step-by-step explanation:
-
Answer:
(2, - 1 ) and (9, - 22 )
Step-by-step explanation:
Given the 2 equations
y = x² - 14x + 23 → (1)
y = - 3x + 5 → (2)
Substitute y = x² - 14x + 23 into (2)
x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )
x² - 11x + 18 = 0 ← in standard form
(x - 2)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 9 = 0 ⇒ x = 9
Substitute these values into (2) for corresponding values of y
x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )
x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )
Which relation is a function?
{(5, 0), (0, 1), (5, 2), (4,4)}
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
{(3, 2), (2,1), (−1, 2), (3,3)}
{(1, 2), (2,4), (−1, 2), (0,3)}
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) {(1, 2), (2,4), (−1, 2), (0,3)}
»»————- ★ ————-««
Here’s why:
A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.⸻⸻⸻⸻
Option A's answer is incorrect, as the domain value of '5' repeats.
{(5, 0), (0, 1), (5, 2), (4,4)}
⸻⸻⸻⸻
Option B is not a function due to the repeating '-4' value.
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
⸻⸻⸻⸻
The '3' in option C's given relation repeats.
{(3, 2), (2,1), (−1, 2), (3,3)}
⸻⸻⸻⸻
Option D is the correct answer, as there are no domain values that repeat.
{(1, 2), (2,4), (−1, 2), (0,3)}
Therefore, option D is a function.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the indicated term in the sequence.
Please show steps too! Thank you.
Answer:
Value of An if n is 17 = -834
Step-by-step explanation:
Given:
A100 = 245
d = 13
n = 17
Find:
Value of An if n = 17
Computation:
An = a + (n-1)d
A100 = a + (100-1)13
245 = a + (99)17
245 = a + 1,287
a = 245 - 1,287
a = -1,042
So,
Value of An if n = 17
An = a + (n-1)d
A17 = -1,042 + (17-1)(13)
A17 = -1,042 + (16)(13)
A17 = -1,042 + 208
A17 = -834
Value of An if n is 17 = -834
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.
Which of the following inputs is impossible for this function?
A:
-1
B:
2
C:
5
D:
8
What are the following algebraic equations? You need to post those if you want the answer.
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answer:
5.8
Step-by-step explanation:
Which of the following choices is NOT one of the six tenses of verbs?
past participle
future perfect
future
present perfect
Answer:
past participle
Step-by-step explanation:
all of the other ones are correct
What is geometric mean of 4 and 32???????
Answer: 18
Step-by-step explanation:
I just found the number in between
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{4(32)}[/tex]
= [tex]\sqrt{128}[/tex]
= [tex]\sqrt{64(2)}[/tex]
= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex]