Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Please help i’ll give brainliest
Answer:
C
Step-by-step explanation:
Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.
I hope this helps!
Answer:
60⁰..................
if 1 mile is 5280 feet, and it is 2 miles from Ellie's house to the school, about how many feet is it from ellie's house to the school?
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
b. e
Step-by-step explanation:
Options B and E are the correct answers.
We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.
The translation is (x, y) → (–x, –y).
Therefore, options B and E are the correct answers.
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What value is equivalent to (3^6)^3?
Answer:
1/2 is the simplified fraction for 3/6.
Step-by-step explanation:
im not sure but i think thats it
Answer:
387,420,489
Step-by-step explanation:
First, evaluate what is in the parentheses. This is equivalent to 729. Now take this number, and cube it (or do 729^3). This is equivalent to 387420489.
The ^ symbol means 'to the power of'.
For example, if you want to raise the number 5 to the power of 4, then you would do 5 ^ (to the power of) 4. Also looks like this: [tex]5^{4}[/tex]
Select the correct answer.
Which complex number is equivalent to the given expression?
(2 + i)(8 – 3i) – (23 + 34i)
Answer:
-47
Step-by-step explanation:
Answer:
-4 - 32i
Step-by-step explanation:
Got it right on the test
Simplify the expression:
(1 + 5h)(4)
Answer:
20h + 4
Step-by-step explanation:
It's easy. Just disperse the multiplying by 4 to the others in the first group.
Multiply 1 by 4, and you get 4.
Multiply 5h by 4, and you get 20h.
The answer is 20h + 4.
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Some
One help me with this
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Slope equals rise/run. You find one perfect point (-2,0) and another along the line (1,2)
You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.
Noodles are packaged in boxes that measure 18 cm by
20 cm by 5 cm. A larger box is being designed by
increasing the length, width, and height of the smaller
box by the same amount.
What is the minimum amount that can be added to the
dimensions of the box so that the new box has a
volume of at least 5,280 cubic centimeters? Round to
the nearest hundredth.
cm
Answer:
Its 4.54 cm
Step-by-step explanation:
on Edge
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
The measurement of the box is given as 18 cm by 20 cm by 5 cm. Let the minimum amount to be added be x.
Therefore, the equation will be:
= (18 + 4.54) × (20 + 4.54) × (5 + 4.54)
= 22.54 × 24.54 × 9.54
= 5280 approximately
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
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1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
need help!!!!
6(x+3)=2x-64
6 + 1 8 = 2 - 6 4
Distribute.
Answer:
x= -20.5
Step-by-step explanation:
6x + 18 = 2x -64
-18 from both sides
6x = 2x - 82
-2x from both sides
4x = -82
divide by 4 on both sides
x= -20.5
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
can somebody please help me with this
Answer:
x=35 degrees
y=85 degrees
Step-by-step explanation:
2x+25=3x-10
x=35
2*35+25=95
180-95=85
Answer:
y=85
Step-by-step explanation:
2x+25 and 3x-10 are reflexive angles, which means they are equal.
First, we must find [tex]x[/tex]. We can do [tex]2x+25&=3x-10[/tex], x=35. We can now do [tex]2\cdot(35)+25=70+25=95[/tex]. There are 180 degrees on that line, which means that [tex]y=180-95=85.[/tex]
Base area of a room is 34m^2 and height of the room is 10m. Find the volume
Answer:
340 m³
Step-by-step explanation:
Hi there !
V = Ab×h
= 34m²×10m
= 340 m³
Good luck !
The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
Given the following data:
Base area of room = 34 [tex]m^2[/tex]Height of room = 10 metersTo find the volume of the room:
Mathematically, the volume of a room is given by the formula:
[tex]V = Bh[/tex]
Where:
V is the volume of an object.B is the area of an object.h is the height of an object.Substituting the given parameters into the formula, we have;
[tex]V = 34 \times 10[/tex]
Volume = 340 cubic meter.
Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
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What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?
Answer:
The same thing would happen over and over again.
Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows: \text{P(Soup ready first}) = \dfrac15P(Soup ready first)= 5 1 start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction \text{P(Salad ready first}) = 0.45P(Salad ready first)=0.45start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45 \text{P(Sandwich ready first}) = 35\%P(Sandwich ready first)=35%
Please help Asap!
Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.
86, 101, 116, 131, 146,...
112, 110, 108, 106, 104,...
Answer:
Step-by-step explanation:
86,101,116,131,146,...
a=86
c.d d=101-86=15
explicit formula
[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]
recursive formula
[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]
2.
112,110,108,106,104,...
a=112
c.d d=110-112=-2
explicit formula
[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]
recursive formula
[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]
Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6
Answer: -6 You answered your own question-
Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?
Answer:
8 in each row
Step-by-step explanation:
1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture?
Answer:You need To tell them apart, they will usually be defined separately.
Step-by-step explanation:
When a number Is decreased by 20% of itself, the result is 24. What is the number?
Answer:
1The answer is 19.2
Step-by-step explanation:
24 - 4.8 = 19.2
the number is 30.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, we have,
a number Is decreased by 20% of itself, the result is 24.
let, the number =x
then, we get,
x *80% = 24
i.e. x* 4/5 = 24
so, x= 30.
hence, the number is 30.
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Gail Martinez is employed at My Best Books. She has family medical coverage through the group medical plan that My Best Books provides for its employees. The annual cost of Martinez's family membership is $3,900. The company pays 50% of the cost. How much does she pay annually for medical insurance? *
Answer:
$1850
Step-by-step explanation:
The annual cost of Martinez's family membership for medical insurance is $3,900.
The company pays 50% of the cost.
So, the cost paid by the company= 50% of $3,900.
[tex]=\frac {50}{100}\times 3900=\$1850[/tex]
The remaining cost for the family medical insurance must be paid by Gail Martinez.
So, the annual payment by her =$3900-$1850=$1850
Hence, she pays $1850 annually for medical insurance.
Can someone please help me out ?
Answer:
the correct answer is D.
Answer:
-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.
Step-by-step explanation:
Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13
Answer:
D 15 +3=15+13
Step-by-step explanation:
Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.
Given that,
From options
A. 15 = 15 B. 15 = 18 - 3 C. 15 + 3 = 11 + 7 D.15 + 3 = 15 + 13
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
In mathematics, it deals with number of operations according to the statements
In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal
A. 15 = 15
LHS = RHS
B. 15 = 18 - 3
LHS = RHS
C. 15 + 3 = 11 + 7
LHs = RHS
D.15 + 3 = 15 + 13
18 ≠ 28
LHS ≠ RHS
Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.
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Perform the indicated operation.
-6 + 6
oo
0-12
O 12
Answer is 12
Because -6 + 6 = 12
Mrs. Williams shops at a store that has an annual membership fee of $30. Today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her coworkers. Her total was $105. Write and solve the equation to find the number of fruit baskets Mrs. Williams purchased.
Answer:
$15
Step-by-step explanation:
Help with number 13. . . . . .
Answer:
6A, D
Step-by-step explanation:
So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).
Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.
Though, we know b*h is just A so we get 6A.
HELPPPPP
Area between two points
You might need: Calculator, Z table
A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation
of 4 points.
What proportion of exam scores are bęween 82 and 85.6 points?
You may round your answer to four decimal places,
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Answer:
0.2379
Step-by-step explanation:
Answer:
0.2379
Step-by-step explanation:
Khan
Find the slope of each line.
Line A: (6,4) & (-3,-1)
Line B: (-6,0) & (3,5)
a) line a= 5/9 line b= 5/9
b) line a= 9/5 line b= 9/5
c) line a= -5/9 line b= -5/9
d) line a= -9/5 line b= -9/5
Answer:
a) line a= 5/9 line b= 5/9
Step-by-step explanation:
Use the slope formula:
m = y2 - y1
x2 - x1
Plug-in the known values for each line:
Line A: -1 - 4 = -5 = 5
-3 - 6 -9 9
Line B: 5 - 0 = 5
3 - (-6) = 9
a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)
a)10
b)13
c)31
d)34
Answer:
The answer is 13 hope it helps!<3
Step-by-step explanation:
If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *