Answer:
(x + 1)^2 = 1/4
Step-by-step explanation:
Here, we want to rewrite the equation by completing the square.
The equation to rewrite is;
4x^2 + 8x + 3 = 0
4x^2 + 8x = -3
divide through by the coefficient of x^2 which is 4
That will give ;
x^2 + 2x = -3/4
Now divide the coefficient of x by 2, square it and add to both sides of the equation.
We have;
x^2 + 2x + 1^2 = -3/4 + 1^2
x^2 + 2x + 1 = -3/4 + 1
x^2 + 2x + 1 = 1/4
= (x + 1)^2 = 1/4
if the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H
Answer:
h = 12Step-by-step explanation:
To find the value of h use the formula for finding the slope of a line
That's
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where ( x1, y1) and (x2 ,y2) are the points
From the question
slope = - 3
The points are [4,-9] and [-3,h]
Substitute these values into the equation
We have
[tex] - 3 = \frac{h + 9}{ - 3 - 4} [/tex]
[tex] - 3 = \frac{h + 9}{ - 7} [/tex]
Cross multiply
That's
- 3(-7) = h + 9
21 = h + 9
h = 21 - 9
We have the final answer as
h = 12Hope this helps you
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values. the coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ (-2, 2) the coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ (4, -2) the coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ (3, -1) the coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ (4, 2)
Answer:
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.
Given Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
If a point X(x, y) is rotated 90° counterclockwise, the new location X' is at (-y, x)
If a point X(x, y) is rotated 90° clockwise, the new location X' is at (y, -x)
If a point X(x, y) is rotated 180° clockwise, the new location X' is at (-x, -y)
If a point X(x, y) is rotated 270° counterclockwise, the new location X' is at (y, -x)
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)
Answer:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise, the new point is at A'(-y, x).
If a point A(x, y) is rotated 90° clockwise, the new point is at A'(y, -x). If a point A(x, y) is rotated 180° counterclockwise, the new point is at A'(-x, -y).
If a point A(x, y) is rotated 270° counterclockwise, the new point is at A'(y, -x).
Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).
The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is D'(-2, 2)
The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is C"(3, -1).
The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is A''"(4, -2)
The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is B"(4, 2)
Solve for x. 23x +2=15x+48x+6
Answer:
[tex]x = - \frac{1}{10} [/tex]Step-by-step explanation:
23x +2 = 15x+48x+6
To solve for x group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
23x - 15x - 48x = 6 - 2
Simplify
- 40x = 4
Divide both sides by -40
[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]We have the final answer as
[tex]x = - \frac{1}{10} [/tex]Hope this helps you
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist
Answer:
37.5 mi/h
Step-by-step explanation:
time = distance / speed
On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.
On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.
__
speed = distance / time
The average speed for the whole trip was ...
speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h
His average rate of speed was 37.5 miles per hour.
Could you help with maths please? All shown on the picture :)
Answer:
4 is tenths (a) and 5 is hundredths (b)
Step-by-step explanation:
Now, 0.45
0 indicates the ones place (it comes before the decimal)
0.45 can also be written as:
0.4+0.05
= 4/10+5/100
what can we conclude from this?
we can say that 4 is in the tenths whilst 5 is in the hundredths.
therefore, a is 4 and b is 5.
Hope this helps you! :)
what is the value of 14 - a² given a = -3? A. 23 B. 11 C. 8 D. 5
Answer:
The answer is D. 5
Step-by-step explanation:
14-(-3)^2=
14-9=5
The value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.
We have the following function of [tex]a[/tex] -
f(a) = 14 - [tex]a^{2}[/tex]
We have to determine the value of this function at a = -3.
What is the value of f(x) = 2x - 3 at x = 3?\The value of f(x) = 2x - 3 at x = 3 can be calculated as follows -
f(3) = 2 x 3 - 3 = 6 - 3 = 3
According to the question -
f(a) = 14 - [tex]a^{2}[/tex]
Now, the value of the function f(a) can be calculated as follows -
f(- 3) = 14 - [tex](-3)^{2}[/tex]
f(- 3) = 14 - 9
f(- 3) = 5
Hence, the value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.
To solve more questions on evaluating expressions, visit the link below -
https://brainly.com/question/14127320?referrer=searchResults
#SPJ2
1/4(8x-4)=
need help please answer
Answer:
2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)
Step-by-step explanation:
4x + 5 = x + 26 need help
Answer:
x = 7
Step-by-step explanation:
4x + 5 = x + 26
4x - x = 26 - 5
3x = 21
x = 21/3
x = 7
Check:
4*7 + 5 = 7 + 26
28 + 5 = 33
In the expression 2^3 the 2 is known as the
base
exponent
rational number
irrational number
Answer:
Hey there!
In this problem, 2 is known as the base.
Let me know if this helped :)
Answer:
The Base
Step-by-step explanation:
The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.
2 is being raised to the third power. This means that 2 is the base of the power.
3 would be the exponent in the power.
Brainilest Appreciated.
If P = (3,4), Find: Rx=1 (P)
Answer:
-1, 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer is (-1,4)
udin memiliki 3 ember berisi ikan hias setiap ember berisi 320 ekor berapa banyak ikan hias udin semuanya
Answer:
960
Step-by-step explanation:
3 * 320 = 960
Udin memiliki, secara total, 960 ikan hias
(Udin has, in total, 960 ornamental fish)
what's the correct answer to this...?
Answer:
-13
Step-by-step explanation:
f(-2) = 3(-2) - 7
f(-2) = -6 - 7
f(-2) = -13
f(-2) means to replace x with -2 in the equation and solve:
3(-2) - 7 = -6 - 7 = -13
The answer is -13
multiplying polinomiyal(5x+2)(3x+4)
Answer:
(5x+2) (3x+4)
= 15x²+20x+6x+8
= 15 x²+ 26x+8
Hope this helps ^_^
Answer:
Step-by-step explanation:
Use FOIL method
(5x + 2)(3x + 4) = 5x * 3x + 5x *4 + 2*3x +2*4
= 15x² + 20x + 6x + 8 { now add like terms}
= 15x² + 26x + 8
Find the value of x. Round to the nearest tenth.
15.9
12.4
12.8
16.3
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 28 = 14/x
x cos 28 = 14
x = 14 / cos 28
x=15.85598
Rounding to the nearest tenth
x = 15.9
Use the least common denominator of 10 and 15 to solve 2/10+7/15 .
Answer: 2/3
Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.
We find the common denominator by finding
the common multiple for these 2 denominators.
Multiples of 10
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
Multiples of 15
1 x 15 = 15
2 x 15 = 30
As you can see, we have a common multiple of 30.
To get 30 in the denominator of 2/10, multiply top and bottom by 3.
To get 30 in the denominator of 7/15, multiply top and bottom by 2.
So we have 6/30 + 14/30 which is 20/30.
20/30 can be reduced to 2/3.
Which expression is NOT equivalent to 24 + 18?
Submit Answer
6(4+3)
2(12 +9)
3(8+6)
2(12 + 18)
EasyAnswer:
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.
Answer:
5 5/7
Step-by-step explanation:
Convert it to fractions:
30/7 and 4/3
Now multiply.
120/21
Simplify it:
5 5/7
What is the 6th row of Pascal's triangle?
Answer:
1, 6, 15, 20, 15, 6, 1
10 points to the person who answers this question.
Answer:
your answer is
2 X l+b
2 X 6x + 3x
8x + 10...
Find the slope and the y-intercept of the line.
- 8x+4y=-4
Write your answers in simplest form.
slope:
.
08
Undefined
X
$
?
y-intercept: 1
Answer:
slope - (2x)
y-intercept - (-1)
Step-by-step explanation:
-8x + 4y = - 4
4y = 8x - 4
y = 2x - 1
If ∠A and ∠B are vertical angles, what is true about their measures?
Answer:
they are equal due to the vertical angles theorem
vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answer:
They are equal
Step-by-step explanation:
I just had it on a exam and can I have brainliest Im trying to level up
6) By which least number should each of the following numbers be divided to make them perfect squares?
a) 3920
3920|2
1960|2
980|2
490|2
245|5
49|7
7|7
1
[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]
It's 5
HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4
Answer:
2 hrs, 24 min
Step-by-step explanation:
Sally: in one hour, she can paint 1/4 of the room.
Joe: in one our, he can paint 1/6 of the room
Hour one: 1/4+1/6=3/12+2/12=5/12
1÷5/12=1*12/5=12/5
12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes
Answer: 2.4 hours
Step-by-step explanation:
1/4 1/6
LCM
3/12+2/12=5/12 repricical 12/5 =2.4
A triangle and the coordinates of its vertices is shown in the coordinate plane below. Enter the area of this triangle in square units, rounded to the nearest tenth. square units
Answer:
22 units²
Step-by-step explanation:
1/2b*h=area
You can either count the units or use the distance formula.
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
b = 4 units
h = 11 units
area = (1/2*4)*11 = 22 units²
Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.
Answer:
Below
Step-by-step explanation:
Let m be the average rate of change.
● m = (f(3)-f(2)) / 3-2
● m = ( log3 - log2) / 1
● m = 0.176
Round it to the nearest tenth
● m = 0.18
Solving Inequalities and graphing them.
Answer:
I used to know this not anymore sry g
Solve x∕4 + y∕3 = 1 for x.
Answer:
x = [tex]\frac{12-4y}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{4}[/tex] + [tex]\frac{y}{3}[/tex] = 1
Multiply through by 12 to clear the fractions
3x + 4y = 12 ( subtract 4y from both sides )
3x = 12 - 4y ( divide both sides by 3 )
x = [tex]\frac{12-4y}{3}[/tex]
Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm
Answer:
A=45cm^2
Step-by-step explanation:
A= h/2(b1 + b2) for trapezoid
A=(5/2(6+12))cm^2
A=(2.5(18))cm^2
A=45cm^2
What is the value of the 6 in 13.76?
Answer:
0.06
Step-by-step explanation:
This is because the 6 is in the hundredths place.
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▹ Answer
0.06 (Hundreths)
▹ Step-by-Step Explanation
The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.
Hope this helps!
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