Answer:
a = - 7
Step-by-step explanation:
Given
5 + 2a = - 9 ( subtract 5 from both sides )
2a = - 14 ( divide both sides by 2 )
a = - 7
Answer:
a = -7
Step-by-step explanation:
5 + 2a = -9 {Subtract 5 form both sides}
5 + 2a - 5 = -9 - 5
2a = -14
Divide both sides by 2
2a/2 = -14/2
a = -7
In the diagram below of circle O, chords AB and CD intersect at E. If AE = 6, BE = 4, and
DE=
3, what is the length of CE?*
Answer: CE= 8
Step-by-step explanation:
12(x-6)=2(x-9) plzzz help
Answer:
x=5.4
Step-by-step explanation:
12x-72=2x-18 distribute
-2x =-2x subtract
10x-72= -18
+72=+72 add
10x=54 divide
x=5.4 simplify
Answer:
Step-by-step explanation:
12(x−6)=2(x−9)
(12)(x)+(12)(−6)=(2)(x)+(2)(−9)(Distribute)
12x+−72=2x+−18
12x−72=2x−18
Step 2: Subtract 2x from both sides.
12x−72−2x=2x−18−2x
10x−72=−18
Step 3: Add 72 to both sides.
10x−72+72=−18+72
10x=54
Step 4: Divide both sides by 10.
10x
10
=
54
10
x=
27
5
Answer:
x=
27
5
Add.
4x^2 - 6x +3
2x^2+7x-8
Answer:
6x^2 + 2x - 5 (Option C)
Step-by-step explanation:
1. First, add 4x^2 and 2x^2 together (which is 6x^2). You can figure this out by adding 4 and 2.
2. Second, add -5x and 7x (which is 2x)
3. Lastly, subtract 3 and 8, which is -5
WHY DOES THE ANSWER HAVE A NEGATIVE 5?
The equation looks like this: +3 + -8
You are adding 3 to -8, which is the same as subtracting positive 3 and positive 8 (positive times a negative is a negative or a minus sign)
Answer:
C. 6x^2 + 2x - 5
Step-by-step explanation:
4x^2 + 2x^2 = 6x^2
-5x + 7x = 2x
3 - 8 = -5
Therefore,
4x^2-5x+3 + 2x^2+7x-8 = 6x^2+2x-5
Which of the following appear in the diagram below? Check all that apply
Answer:
I think it A, B, D but I'm not certain
Answer:
The correct answer is A B and C
Step-by-step explanation:
A is going the correct way through the arrows and not in random order like D. B is also going in the correct way and same with C.
If the perimeter of a square garden is 84 feet, what is the area of the garden?
А 21 sq ft
B 84 sq ft
С 336 sq ft
D 441 sq ft
Answer:
D.441
Step-by-step explanation:
All sides of a square are equal. Due to this, the perimeter can be expressed as 4 times the side of the square. Let x be the side of a square.
Then we have:
4x = 84
x = 21
The area of a square is written as x^2, as x is both the length and the width.
So your answer will be:
(21)^2 = 441
The area of the garden is 441 sq ft
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
Perimeter of a square =4 x length
84 = 4 x length
divide both sides of the equation by 4
84/4 = length
length = 21 feet
Area of a square = length²
21² = 441 sq ft
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i will mark brainliest i just need two answers so i could mark one brainliest David surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram
Answer:
B. line graph
Step-by-step explanation:
Answer:
it is B.line graph
Step-by-step explanation:
you would use this line graph to answer the questions
line graphs are the best solutions for this question
Find the 53rd term of the arithmetic sequence
−
12
,
−
1
,
10
,
.
.
.
−12,−1,10,...
Answer:
560
Step-by-step explanation:
Simplify the following expression: -3x(x-4).
Answer:
The answer is -3x² + 12x.
Step-by-step explanation:
You have to apply Distributive Law,
[tex]a(m + n) = am + an[/tex]
So for this question :
[tex] - 3x(x - 4)[/tex]
[tex] = - 3x(x) - 3x( - 4)[/tex]
[tex] = - 3 {x}^{2} + 12x[/tex]
Answer:
[tex] = - 3 {x}^{2} + 12x \\ [/tex]
Step-by-step explanation:
[tex] - 3x(x - 4) \\ - 3x(x) - 3x ( - 4) \\ = - 3 {x}^{2} + 12x[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can anyone help me with this?
Ten less than five times a number is less than six times the number decreased by eight
Answer:
5n-10 < 6n-8
n - is the variable that's stands for the unspecified number
step 1. ten is less than 5 times a number
step 2. LESS THAN SIGN :)
step 3. six times the number decreased by 8
......................
oh and if you're looking to simplify that problem I believe it would be worked out like this....5n-10<6n-8....subtract 5 from both sides....-10
// * PLEASE ANSWER * // AB is tangent to circle C. Find AC to two decimal places.
Answer:
19.92
Step-by-step explanation:
To find the length of AC we need to use the Pythagorean theorem: a^2 + b^2 = c^2
a = 6 b = 19
a^2 = 36
b^2 = 361
36 + 361 = 397
c^2 = 397
to find c we take the square root of 397
[tex]\sqrt{397} = 19.9248588452[/tex]
take the first 2 decimals for the answer
PLEASE HELP WILL GIVE BRANLIEST!!! Question is above:)
Answer:
x = 3
Step-by-step explanation:
Rectangle = length*width = 3(x+12) = 3x+36
Triangle = length*width/2 = 2x*5/2 = 5x
Since the rectangle is 3 times the triangle, thjat gives us:
3x+36 = 3(5x) -> 3x + 36 = 15x
Isolate x and solve:
36 = 12x
x = 3
Which of the following statements would be represented with P ↔ Q? Question 1 options: A) If a quadrilateral has four congruent angles, then it's a rectangle. B) If a quadrilateral has four congruent sides, then it's either a square or a rhombus. C) A quadrilateral with four congruent sides and four right angles is a square. D) A quadrilateral has four congruent sides and four right angles if and only if it's a square.
Answer:
C) A quadrilateral with four congruent sides and four right angles is a square.
The P ↔ Q represents A quadrilateral with four congruent sides and four right angles is a square.
What is Quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Given:
If a quadrilateral has four congruent angles, then it's a rectangle.
the statement cannot be true because the same property also carried by Square.
If a quadrilateral has four congruent sides, then it's either a square or a rhombus but reverse is not possible.
A quadrilateral with four congruent sides and four right angles is a square.
The statement is perfectly true because the reverse is also possible.
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What is the quadratic regression equation that fits these data?
A. y = -2.04x2 +1.46x + 13.92
B. y= -0.70x2 +2.37x + 11.96
c. y = 14.77(0.89)
D. y = -1.04x2+3.04x + 9.68
Answer:
B)[tex]-0.70x^2+2.37x+11.96[/tex]
Step-by-step explanation:
No. of second Height
0 12
1 13
2 15
3 13
4 9
5 7
Quadratic Regression Equation: [tex]y = a + b x + c x^2[/tex]
[tex]c = \frac{ [ \sum x^2 y * \sum xx ] - [\sum xy \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]
[tex]b =\frac{ [ \sum xy \cdot \sum x^2 x^2 ] - [\sum x^2y \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]
[tex]a = [ \sum y / n ] - { b \cdot [ \sum x / n ] } - { a \cdot [ \sum x^2 / n ] }[/tex]
Where ,
[tex]\sum x x = [ \sum x^2 ] - [ ( \sum x )^2 / n ]\\\\\sum x y = [ \sum x y ] - [ ( \sum x \cdot \sum y ) / n ]\\\\\sum x x^2 = [ \sum x^3 ] - [ ( \sum x^ 2 \cdot \sum x ) / n ]\\\\\sum x^2 y = [ \sum x^2 y] - [ ( \sum x^2 \cdot \sum y ) / n ]\\\\\sum x^2 x^2 = [ \sum x^4 ] - [ ( \sum x^2 )^2 / n ][/tex]
Using these formulas the required equation is :[tex]-0.696 X^2 +2.368 X +11.964[/tex]
So, option B is true
B)[tex]-0.70x^2+2.37x+11.96[/tex]
lizzy borrowed $900 at 18% interest for christmas gifts. how much will she owe in total after 3 years?
Answer:
$1478.73
Step-by-step explanation:
Use the compound amount factor and assume compounding once per year. Then:
A = $900(1 + 0.18)^3
= $1478.73 due after three years.
Answer:
= $1478.73 or = $1478.72
Step-by-step explanation:
Credit companies charge daily but you only mention yearly question so i will show you yearly and monthly and daily as 3 separate methods.
For years
we use the expression a x {(+1) + b} ^t = 900 x 1.18^3
For months
we use the expressions a x {( +1) +b ^t * 12
We keep to yearly interest
And prove 900 x 1.18^3 = 1478.7288
= $1478.73
Generally, credit companies round down to $1478.72
We work out a yearly rate = 18% interest and divide amount borrowed by 18%
900/18 = 50
then whatever is paid we minus this from the $900 = 900 x 50 = 45,000
50 x 365 = 18,250 owed if no payments were met if agreed to pay monthly but before end of the 3 year contract = meaning if paid at end of month 12- before start of month 13 the 360th day.
12. What's the simplified form of 2x + 3 - X + 5?
A. X + 8
B. X-2
C. X-8
D. 3x + 8
n) The mean is 7. Calculate the median
X, X, 2x - 1, 3x + 2, 6x, 8x -1
Answer:
The median is 10
Step-by-step explanation:
(x + x + 2x-1 + 3x+2 + 6x + 8x-1)/6 = 7
(x + x + 2x-1 + 3x+2 + 6x + 8x-1) = 42
21x = 42
x = 2
3(2)+2 = 8
6(2) = 12
(8+12) / 2 = 10
What is an x intercept of x^2-64
Answer:
(8,0) ( -8,0) are the x intercepts
Step-by-step explanation:
Factor
x^2 - 64
This is the difference of squares
(x-8) (x+8)
Set equal to zero to find the intercepts
x-8 = 0 x+8 =0
x= 8 x= -8
Answer: (8,0) and (-8,0)
Step-by-step explanation: It is one positive and one negative 8 because a double positive would be a +64 and a double negative would also be a +64(unless there was another x for example x^2+2x-64.
x^2-64
(x+8) (x-8)
(x+8) (x-8)=0
x+8=0 and x-8=0
(-8,0) and (8,0)
Suppose f(x) is a function such that if p
f(x) can be odd or even.
f(x) can be odd but cannot be even.
f(x) can be even but cannot be odd.
f(x) cannot be odd or even.
Answer:
f(x) can be odd or even.
Step-by-step explanation:
The following information is missing in the question:
Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?
With the information given it is not possible to determine if the function is even or odd.
Even functions: f(-x) = f(x). For examle, (-2)² = 2², then x² is even
Odd functions: f(-x) = -f(x). For examle, (-2)³ = -(2³), then x³ is odd
In both cases, x² and x³, if p < q, f(p) < f(q). For example, 1² < 2², and 1³ < 2³
What's the slope and y-intercept of the equation 3x + 4y = 8?
Answer:
Slope = -3/4
y-intercept = 2
Step-by-step explanation:
[tex]3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2[/tex]
What is the scale factor of ABC to ADEF?
Answer:
D. 1
Step-by-step explanation:
Given QR I PT and LQPR A ZSTR
Prove: APQR – ATSR
HI
Answer:
ΔPQR ~ ΔTSR
Step-by-step explanation:
Use the number line and the additive inverse to find the difference. (Negative 3 and one-half) minus (negative 4 and one-fourth) = Negative StartFraction 7 over 2 EndFraction minus (negative StartFraction 17 over 4 EndFraction
Answer:
EVERYONE IT IS 3/4 lol
Step-by-step explanation:
The difference of the expression (-3 + 1/2) - (-4 + 1/4) is 3/4.
What is Additive Inverse?Additive inverse in simple terms is meant to add a number with it's opposite sign to get the result as zero.
Mathematically for any number 'a', a + (-a) = 0 implies that -a is the additive inverse of 'a'.
The given expression is, (-3 + 1/2) - (-4 + 1/4).
(-3 + 1/2) - (-4 + 1/4) = [(-3 × 2 + 1) / 2] - [(-4 × 4 + 1) / 4]
= (-7/2) - (-17/4)
The additive inverse of (-7/2) is (+7/2).
Adding and subtracting the additive inverse (+7/2),
(-3 + 1/2) - (-4 + 1/4) = (-7/2) - (-17/4) + (7/2) - (7/2)
= (-7/2) + (17/4) + (7/2) - (7/2)
= [(-7/2) - (7/2)] + [(17/4) + (7/2)]
= (-14/2) + (31/4)
= (-28/4) + (31/4)
= 3/4
Hence the difference of the expression given is 3/4.
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Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.
Write a quadratic function equation that describes the height h at time t.
Write this polynomial in standard form. ax2 + bx + c a≠ 0
Find the maximum height.
Be sure to answer the question using the correct units.
Write a quadratic function equation that describes the height h at time t.
h\left(t\right)=-16t^2+v_0t+h_0
h(t)=−16t
2
+v
0
t+h
0
Answer:
5t² - 16t + h =0
Step-by-step explanation:
During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).
Therefore; using the equation;
S = 1/2gt² + ut
Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.
Thus; h= 1/2(-10)t² + 16t
We get; h = -5t² + 16t
Therefore; the quadratic equation is 5t² - 16t + h =0
Plz, mark me brainlest!!
Solve for y in the equation: 3y=9
Answer:
y=3
Step-by-step explanation:
3y=9
Divide each side by 3
3y/3 = 9/3
y = 3
Answer:
3
Step-by-step explanation:
3y=9
take the 3 and divide it by 9 and you will get 3
And y=3
I hope this is right
Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...).
0-2EW
DOCR
OWCZ
ORCW
(0.1.2...] SW
DOEZ
??
Answer4:
Step-by-step explanation:
X;1
Please help number 9
A living room is 19 feet wide. The carpeted portion of the room is 5x feet long and the adjacent 9) tiled portion of the room is 7y feet long. Use the distributive property to find an expression for the
total area of the living room.
A) 95x + 133y square feet B) 24x + 26y square feet C) 228(x + y) square feet D) 95x + 7y square feet
Answer:
Option A. 95x + 133y square feet.
Step-by-step explanation:
Area of a rectangular room = Length × Width
Length of the room = Length of carpeted portion + Length of the tiled portion
= (5x + 7y) feet
Width of the living room = 19 feet
Area of the living room = (5x + 7y) × 19
= 95x + 133y Square feet [By distributive property]
Therefore, expression for the total area of the living room is option (A).
In spherical geometry, lines are called
circles.
O A. semi-
OB. closed
O C. great
O D. open
A. semi
Step-by-step explanation:
I hope this helps you
Which equations might Miguel write? Check all that
apply.
Plz help
Answer:C, D, And F
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of y?
A
60%
BA
D
O A. 30
OB. 60
O C. 120
D. 90
The value of angle y is equal to 60°
What is alternate interior angles?Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
What is alternate interior angle theorem?The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
According to the question
AB is parallel to CD
and the line intersect AB and CD is transversal line
Therefore ,
∠y , 60° are Alternate Interior Angles .
Now ,
According to the Alternate Interior Angles Theorem
When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
Therefore,
y = 60°
Hence. The value of angle y is equal to 60° .
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Ming is painting a picture. He has 2/3 pint of red paint, 2/8 pint of yellow paint and 2/6 pint of green paint. Which list orders the fractions frommhreatest to leas
Answer:
2/3,2/6,2/8
Step-by-step explanation: