Answer:
169
Step-by-step explanation:
x²+26x=23
=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²
<=> x² +26x + 13² = 23 + 13²
<=> x² +26x +169 = 23 + 169
<=> (x+13)² = 192
so, (x+13)² is the square form , and 169 must be added to complete the square
For 2ab to complete in (a+b)² formula
2ab=26a=1
2b=26b=13b²=169So 169 must be added
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
A railway station measures 200 meters in length. How long is it?
A. 10,000 cm
B. 12,000 cm
C. 15,000 cm
D. 20,000 cm
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 8 3/4 yards. Find
the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change in field position on each run was
yards.
Answer:
-1 1/4 yards
Step-by-step explanation:
7 carries
-8.75 yards total yardage
-.8.75 / 7 = -1.25 yards average per carry
In mixed number ? -1 1/4 yards
Help me pleaseeeeeeeee
Answer:
(f o g)(x) = 4x^4 - 24x^2 + 37
(g o f)(x) = 16x^4 + 8x^2 - 2
Step-by-step explanation:
f(x) = 4x^2 + 1
g(x) = x^2 - 3
(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =
= 4(x^4 - 6x^2 + 9) + 1
= 4x^4 - 24x^2 + 37
(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =
= 16x^4 + 8x^2 - 2
Can y’all help me on question 20?!
Answer:
yes I can help you but ???
Answer this as soon as possible please!!!!!
HELPPPP MEEE
5x-7+3x and 3x-7+5x
equivalent or not equivalent
4y+9+3y and 3y+9+4y
equivalent or not equivalent
6z-2z+4 and 4+2z-6z
equivalent or not equivalent
Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent
Please answer this, its one of my homework questions
Answer:
4^4=4^3*4=64*4=256
4^6=4^5*4=1024*4=4096
Step-by-step explanation:
Answer:
4^4 = 256
4^6 = 4,096
Find the missing length indicated. Hey can someone help me out?
Answer:
C) 6
by-step explanation:
Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
The matched statement to its corresponding reason for the given alternate interior angles as:
Given: Let points A, B, and C form a triangle.
definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Congruent angles: m∠1=m∠4, m∠3 = m∠5
Linear pair theorem: m∠4+m∠2+m∠5 = 180°
As per the shown figure,
Given:
Let points A, B, and C form a triangle.
Defining a parallel line and labeling angles:
Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Alternate Interior Angles Theorem:
∠1=∠4
∠3 = ∠5
Congruent angles have equal measures:
m∠1=m∠4
m∠3 = m∠5
Definition of a straight angle and angle addition:
m∠4+m∠2+m∠5 = 180°
Substitution:
m∠1 + m∠2 +m ∠3 = 180°
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If 81 is added to a number the result is 39 less than three times the number
let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
Answer:
60
Step-by-step explanation:
number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
Will mark Brainlest Help
find the domain and range in each of the following
Step-by-step explanation:
Domain: possible value of x
Range: possible values of y
Domain:
Given in the question
-1smaller or equal to x smaller or equal to 1
Range:
y is greater than 1, smaller than 3
[tex] \sqrt{ \frac{y - 1}{2} } = x \\ [/tex]
y cannot be smaller than 1
when substitute velue of x= 1 or negative 1
we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.
first list all elements of x and y..
x= -1,0,1
y=2x^2+1
whenx=-1 y=2×-1^2+1=5
similarly, when x=0,y=1
x=1, y=5
therefore, domain=x={-1,0,1}
range=y={1,5}
An earthquake with a rating of 6.5 is
considered a major earthquake that can
cause damage over a large area.
Answer:
it is not considered a major earthquake, for it to be considered a major earthquake it has to have a rating of 8.0 or higher
How many centimeters are there in 3 meters?
A. 100 cm
B. 200 cm
C. 300 cm
D. 400 cm
Answer:
Step-by-step explanation:
c
PLS HELP!! WILL GIVE BRAINLIEST!!! >.<
Write one function for each house to describe the value of the house f(x), in dollars, after x years.
straightAnswer:
Step-by-step explanation:
The strategy would be to look for the equations of lines that passes for the points. it can be done but it's a hard work. I prefer to use a calc sheet . You can se that house 2 has a perfect fit to data because it has a [tex]R^2=1[/tex], however house 1 does not have a perfect fit, [tex]r^2=0.99..[/tex] altough it is a very good fit, in the image you can see the corresponding equations
4 x^2+ 4x-14 x=0
Solve this please, you will get brainLiest. Thank you :)
Answer:
x could be 0 or it could be 5/2
Step-by-step explanation:
Answer:
x= 5/2
Step-by-step explanation:
4x^2 + 4x - 14x = 0
subtract 4x from 14x because they are like terms
4x^2 - 10x=0
4x^2 = 0 + 10x
4x^2 = 10x
x^2/x = 10/4
x=10/4
x=5/2
Please help I need help with my hw
Answer:
a) 2.5 pounds of candy
b) 2.5 pounds of candy
[tex]\frac{0.5}{1} :\frac{y}{5}[/tex]
y × 1 = 0.5 × 5
y = 2.5
Step-by-step explanation:
1 = 5
1/2 = y or 0.5 = y
[tex]\frac{0.5}{1} :\frac{y}{5}[/tex]
y × 1 = 0.5 × 5
y = 2.5
HELP!!! PLEASE!!!!!!!!!!
Please help me solve this question and steps.Thank you.
9514 1404 393
Answer:
no
Step-by-step explanation:
The first step is to understand that the question is asking about the future value of series of payments. An appropriate formula is ...
P = A(n/r)((1 +r/n)^(nt) -1)
where P is the future value, A is the periodic payment made n times per year for t years. r is the annual interest rate.
The next step is to substitute the given values and do the arithmetic. Using the given values, we have ...
P = 250(12/0.056)((1 +0.056/12)^(12×2.5) -1) ≈ 8030.32
Shen will have accumulated about $8,030.32, which is not enough to meet his goal.
A field is a rectangle with a perimeter of 1100 feet. The length is 300 feet more than the width. Find the width and length of the rectangular field
Answer:
Step-by-step explanation:
perimeter of rectangle = 1100
let breadth be x
length = 300 + x
perimeter of rectangle = 2(l + b)
1100 = 2(300 + x + x)
1100 = 2(300 + 2x)
1100 = 600 + 4x
1100 - 600 = 4x
500 = 4x
500/4 = x
125 = x
therefore breadth is 125 feet
length = 300 + 125
=425 feet
Answer:
The rectangular field is 425 feet by 125 feet.
Step-by-step explanation:
Let w represent the width of the rectangular field.
Since the length is 300 feet more than the width, the length can be modeled by the expression (w + 300).
The perimeter of a rectangle is given by the formula:
[tex]P=2(w+\ell)[/tex]
Where P is the perimeter and w and l are the width and length, respectively.
We are given that the perimeter is 1,100 feet. Substitute:
[tex]1100=2(w+\ell)[/tex]
Divide both sides by two:
[tex]550=w+\ell[/tex]
We know that l = (w + 300). So:
[tex]550=w+(w+300)[/tex]
Simplify:
[tex]2w=250[/tex]
Divide both sides by two. So, the width is:
[tex]w=125\text{ feet}[/tex]
Since the length is 300 feet more than the width, that means the length is 425 feet.
The rectangular field is 425 feet by 125 feet.
Suppose that y varies directly with x and inversely with z; y = 27 when
x = 21, and z = 7. Write the equation that models the relationship. Then
find y when x = 25 and z = = 5.
The value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
y varies directly with x and inversely with z.
y ∝ x/z
Removing the proportional sign.
y = kx/z
k is the constant of proportionality.
Plug y = 27, x = 21, and z = 7 to get the value of k
27 = 21k/7
k = 9
y = 9x/z
Plug x = 25, and z = 5
y = 9(25)/5
y = 45
Thus, the value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z
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16
The ideal width of a safety belt strap for a certain automobile is4 cm. An actual width can vary by at most 0.3
cm. Write an absolute value inequality for the range of acceptable widths, in centimeters.
IW - 41 303
0214
Answer:
|x - 4| ≤ 0.3
Step-by-step explanation:
The actual width = 4
Maximum variation, x = 0.3
Hence, the lowest width position based on actual width and possible variation is :
4 - 0.3 ≤ x ≤ 4 + 0.3
3.7 ≤ x ≤ 4.3
Work out the value of 8³
Answer:
512
Step-by-step explanation:
Given that ABCD is a rectangle, find the total area of the figure below. Round your answer to the nearest tenth.
Options
18 ft²
20.25 ft²
21.5 ft²
22.5 ft²
Answer:
C
Step-by-step explanation:
Write the product in simplest form: 1 2/3 x 3 4/5=
Answer:
19/3
Step-by-step explanation:
1 2/3 = (1*3 + 2)/3 = 5/3
3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5
5/3 * 19/5 = 19/3 The 5s cancel.
The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.
Answer:
4 1/3
Step-by-step explanation:
1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =
[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =
[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3
find the value of 3mm(m+y)
Answer:
Step-by-step explanation:
3mn (m+y)
= 3[tex]m^{2}[/tex]n + 3mny
pls help me do this question but pls don't get it wrong this is my attempt
Answer: (c)
Step-by-step explanation:
Given
The function is [tex]y=-x^2+6x-4[/tex]
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
[tex]\therefore y\leq5[/tex]
Hence. option (c) is correct.
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
Triangle D E F is shown. Angle E F D is a right angle. The length of E F is 24 and the length of D F is 7.
Which trigonometric ratios are correct for triangle DEF? Select three options.
sin(D) = StartFraction 24 Over 25 EndFraction
cos(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 24 Over 7 EndFraction
sin(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 7 Over 24 EndFraction
Answer:
Sin(E) = 7/25
Sin(D) = 24/25
Tan(D)= 24/7
Step-by-step explanation:
Sin=opp/hyp
Tan=opp/adj
Cos=adj/hyp
The trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7
How to determine the trigonometric ratios?The given parameters are:
EF = 24
DF = 7
Start by calculating the length DE using:
DE²= EF² + DF²
So, we have:
DE²= 24² + 7²
Take the square root of both sides
DE= 25
The sine of the angles is calculated using:
sin(Ф) = opp/hyp
So, we have:
sin(E) = 7/25
sin(D) = 24/25
The tangent of the angles is calculated using:
tan(Ф) = opp/adj
So, we have:
tan(D)= 24/7
Hence, the trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7
Read more about trigonometric ratios at:
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Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2