Step-by-step explanation:
2x°+3x°=180°[ sum of adjacent angle]
or,5x°= 180°
or,x°= 180°/5
x°=36°
2x°= 2× 36°= 72°
3x°= 3 × 36°= 108°
evaluate f(x)=-2x²+4x-2 find f(-2)
Answer:
-2
Step-by-step explanation:
If f(x) = 2x² + 4x - 2
f(-2) = 2(-2)² + 4(-2) - 2
f(-2) = 2(4) + 4(-2) - 2
f(-2) = 8 - 8 - 2
f(-2) = -2
Answer:
It is -18
Step-by-step explanation:
[tex]f(x) = - 2 {x}^{2} + 4x - 2[/tex]
when x is -2, f(x) is f(-2):
[tex]f( - 2) = - 2 {( - 2)}^{2} + 4( - 2) - 2 \\ \\ f( - 2) = - 8 - 8 - 2 \\ \\ f( - 2) = - 18[/tex]
I need to write an expression to represent the volume of this shape
Answer:
v = 3.14x²y
Step-by-step explanation:
volume cylinder = πr²h
r = 2x ÷ 2 = x
h = y
Answer:
It is 3.14x²y
Step-by-step explanation:
formular:
[tex]{ \bf{V = \pi {r}^{2} h}}[/tex]
r is radius, r = 2x/2 = x
h is height, h = y
[tex]{ \sf{V = (3.14) \times ( {x}^{2} ) \times y}} \\ V = 3.14 {x}^{2} y[/tex]
Point A and Point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement about point B is true?
a. It is located at -25 and is to the right of point A on the number line.
b. It is located at -15 and is to right of point A on the number line
c, It is located at -25 and is to the left of point A on the number line.
Answer:
so, choose c.
Step-by-step explanation:
[tex] - 20 - 5 = - 25[/tex]
{Please see the figure on the picture}
probability question
Use the equation v=s+19 to find the value of v when s=2.
V=
Answer:
21
Step-by-step explanation:
s=2
so, v=2+19
19+2=21
The rectangles are similar. Find x.
Answer:
x = 7 1/2
Step-by-step explanation:
We can use proportions to solve
12 5
----- = -----
18 x
Using cross products
12x = 18*5
12x = 90
Divide by 12
12x/12 = 90/12
x = 7 1/2
12/18 = 5/x
12x = 18 × 5
12x = 90
x = 90 ÷ 12
x = 7,5 => x = 7 1/2
Given f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).
Step-by-step explanation:
all steps are in the picture above.
Note:if you have any question let me know about.thanks
9514 1404 393
Answer:
g(f(x)) = √((x²+5)/(x²+4))
Step-by-step explanation:
[tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]
I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...
[tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]
Find all points on the x-axis that are 14 units from the point (5, -7)
Answer:
can you submit the coordinet plane?
Step-by-step explanation:
What is the equation of a line perpendicular to y = -3x + 4 that passes through the point (-1, 6)?
Answer:
Equation is 3y = x + 19
Step-by-step explanation:
General equation:
[tex]y = mx + c[/tex]
For slope, m:
[tex]m_{1} \times m_{2} = - 1[/tex]
but m1 is -3:
[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]
For y-intercept, c:
[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]
equation:
[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]
Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.
Answer:
k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Using the discriminant
Δ = b² - 4ac
For a repeated real solution then
b² - 4ac = 0
Given
16x² - [tex]\frac{8}{3}[/tex] x + k = 0
with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k
(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0
[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )
- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )
k = [tex]\frac{1}{9}[/tex]
Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado
Answer:
-1, 0, 1, 2, 3
Step-by-step explanation:
Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2
If f(x)= 2|x|+3x, then the value of f(-1) is
Answer:
-1
Step-by-step explanation:
f(-1) = 2|-1| + 3(-1)
|-1| = 1
=> f(-1) = 2(1) - 3
=> f(-1) = 2 - 3
=> f(-1) = -1
There are □ terms in the sequence 1,2,2
There are exactly 81 terms in the sequence.
Start counting with 1 (like non-computer people).
First term is [tex]1=2^0[/tex].
Second term is [tex]2=2^1[/tex].
Third term is [tex]2^2[/tex].
Fourth term is [tex]2^3[/tex].
In general the i-th term is [tex]2^{i - 1}[/tex].
Hope this helps :)
Which group contains an equivalent percent, decimal, and fraction?
F. 60%, 0.06, 3/5
G. 75%, 7.5, 3/4
H. 90%, 0.9, 9/10
J. 78.5, 0.785, 7/8
Answer: H. 90%, 0.9, 9/10
Step-by-step explanation: they are all equal
2. A boy scored the given marks in various class-tests during a term, (each test being marked out of 20): 15, 17, 16, 16, 10, 12, 14, 16, 19, 12, 16. (a) What is his modal marks?
Answer:
16 is the number occurring most often in the list.
Step-by-step explanation:
12. In the toy factory where you work, you inspect each toy for
defects as it comes off the assembly line and report the
defect ratio at the end of each day. On Monday, you
inspected 938 toys and recorded 67 of them as defective.
What is the ratio of defective toys to the total number of
toys that you inspected?
F.
938
H.
J.
K.
1: 67
1:14
1:13
13:1
14:1
A chemist is using 332 milliliters of solution of acid and water. If 13.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
45.5 milliliters
Step-by-step explanation:
We know that the chemist has 332 milliliters of the solution of acid and water, and 13.7% of that solution is acid.
We can then persume that the amount of acid in the solution is equal to 332ml × 13.7%.
This is equal to 45.484ml.
Then the question states to round the answer to the nearest tenth.
Rounding 45.484ml to the nearest tenth (.1) will equal to 45.5ml.
Therefore, there are 45.5ml of acid in the solution rounded to the nearest tenth.
The distance that John covers each day during his morning walks is given in the graph. Using my this information, predict the distance that John may cover on day 6
A: 5.2 miles
B: 4.2 miles
C: 3.2 miles
D: 2.2 miles
John may cover 2.2 miles on day 6.
The correct answer is option (D)
What is graph?"It is a pictorial representation of data in an organized manner. "
For given question,
The distance that John covers each day during his morning walks is given in the graph.
From the graph we can observe that the highest value on the graph is 4.
Also the data is symmetrical on the left side and on the right side of the highest value.
We need to predict the distance that John may cover on day 6.
It must be the same as it is at day = 0
At day = 0, the distance is 2.2 miles.
Therefore, John may cover 2.2 miles on day 6.
The correct answer is option (D)
Learn more about prediction from the graph here:
https://brainly.com/question/27021739
#SPJ2
Use the distributive property to simplify each expression 10(9-1)
Answer:
see below
Step-by-step explanation:
10(9-1)
Distribute
10 * 9 - 10 *1
90 - 10
80
Answer: 80
Step-by-step explanation:
10(9-1) = 90 - 10 = 80
plz plz help fast plz plZ
no trolls plz
Answer:
3/6 or 1/2
Step-by-step explanation:
3 of the blocks are blue out of 6 blocks. Therefore 3/6.
Which best describes the relationship between the line that passes through the points (–9, –7) and (–12, –2) and the line that passes through the points (1, 9) and (6, 6)?
9514 1404 393
Answer:
The lines are neither parallel nor perpendicular. They intersect in the 2nd quadrant.
Step-by-step explanation:
You have provided no descriptions, so we have shown the lines to let you draw your own conclusion regarding the description that best fits.
Find the slope of the line graphed below
Answer:
-4/3
Step-by-step explanation:
To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/
Evaluate m + 7.5 , when m = 8.6
Hi :)
m is a variable
m is defined as 8.6
substitued m
8.6 + 7.5 = 16.1
Answer:
m+7.5 = ? when m = 8.6
Sub 8.6 in equation for m and you get
8.6 + 7.5 = 16.1
Step-by-step explanation:
Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. WILL GIVE BRAINLIEST!
Answer:
4x² + 6x - 3 remainder -12Step-by-step explanation:
Given:
(x) = 8x³ + 16x² − 15g(x) = 2x + 1To find:
f(x) / g(x)Use long division:
f(x) / g(x) = (8x³ + 16x² − 15) / (2x + 1)2x + 1 | (8x³ + 16x² − 15
| 8x³ + 4x²
12x² + 0x - 15
12x² + 6x
-6x - 15
-6x - 3
-12
4x² + 6x - 3 remainder -12
[tex]\sf \dfrac{f(x)}{g(x)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}[/tex]
Refer to attachment now
If the 45 animals on the farm have a total of 150 legs, how many cows does farmer Ken have?
Answer:
195
Step-by-step explanation:
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
162×(-92)-(-162)×(-5)-162×3
Answer:
-16,200
Step-by-step explanation:
162×(-92)-(-162)×(-5)-162×3
-14,904 - 810 - 486 = -16,200
Answer:
-16200 is your answer....
Which of these is equal to .0625 ??
a. 4 ^ -15
b. 1 / 4^15
c. 16 ^ -2
d. (4 ^ -1) ^ 2
Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-
[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-
Refer to the attchment
C:-
[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-
EH>OH
E:-
[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitssimplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]