Answer:
The solution is A. (-2,7) and C. (3,2)
Step-by-step explanation:
x+y = 5 ............(1)
x²+y = 11 ............(2)
_________________________
y = 5-x
x²+(5-x) = 11
x²+5-x-11 = 0
x²-x-6 = 0
x²+2x-3x-6 = 0
(factor statement)
x(x+2)-3(x+2) = 0
(x+2) (x-3) = 0
x+2=0 x-3 =0
x = -2 x = 3
(x1 = -2, x2 = 3)
_________________________
y = 5-x
y = 5-(-2) ............(1)
= 7
y = 5-3 ............(2)
= 2
(y1 = 7, y2 = 2)
_________________________
(x1,y1) & (x2,y2)
(-2,7) & (3,2)
So, A. (-2,7) and C. (3,2) correct
what is equivalent to x^4-12x^2+36
Answer: x^4-12x^2+36
Step-by-step explanation:
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).
Answer:
y = 3/4x + 27/2
Step-by-step explanation:
y2 - y1 / x2 - x1
7 - 1 / 6 - (-2)
6 / 8
= 3/4
y = 3/4x + b
9 = 3/4(-6) + b
9 = -9/2 + b
27/2 = b
Consider the linear equation 4x+3y=19 find the value of y that makes the given ordered pair a solution to the equation (x, 5) X=
Answer:
X=1
Step-by-step explanation:
If the ordered pair of the solution is (x,5), this means that y=5
With this information, we plug in 5 for y and solve for x
4x+3(5)=19
4x+15=19
4x=4
x=1
3х - у = 13
у = 2х - 7
Answer:
y=3x-13
Step-by-step explanation:
where do u get the 2?
Answer:
x=6 y=5
Step-by-step explanation:
use substitution because they y variable is already in the correct form for substitution
Solve for x using the figure to the right. x=
Answer:
Step-by-step explanation the answer is 3
each lap around a track is 5/6 kilometer samantha drove around the track 24 times. how far did samantha drive? FOR 20!!!!!!!!
Answer:
20 kilometers
Step-by-step explanation:
24 x 5/6 = 20
Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.Use the drop-down menus to complete each sentence.
Answer:
The expression p−0.45p can be simplified to 0.55 p.
This means Phyllis can find the new price of a hat by finding 55 % of the original price.
Step-by-step explanation:
The given expression describes that the price of the Hat would be 55% of the original price.
Given that,
Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Given expression,
= p−0.45p
Simplify further,
= 0.55p
The above expression implies that the outcome is 55% of p, where p is the original price of the Hats.
Thus, the given expression describes that the price of the Hat would be 55% of the original price.
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Find the z value that corresponds to the given area in the figure below.
We are given 0.3770. Since the number is behind 0 on the normal distribution curve, we can infer that 50% of data lies between the left side of the curve to the middle.
Subtracting 0.377 from 0.5, we get 0.123. Looking at our z-scores table (Table A Standard normal probabilities from AP Stats), we can see that -1.16 is closest to our desired value at 0.1230. Thus, z should be -1.16.
Luke has a crate with a volume of 2160 cubic inches. The crate is 12 inches long and 18 inches high. Luke wants to put wooden boards into the crate. Each board is the same size as the board shown in the diagram.
18 blocks would fit in the Crate.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Volume of Crate= 2160 cubic inch
Now, Volume of each wooden board
= l b h
= 12 x 5 x 2
= 120
so, number of blocks = 2160/ 120
= 18
Hence, 18 blocks would fit in the Crate.
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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.
Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.
Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.
Let's denote the width of the crate as "w".
The volume of the crate is given by the formula: Volume = Length × Width × Height
So, 2160 = 12 × w × 18
Solving for "w":
w = 2160 / (12 × 18)
w = 10
Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.
Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.
The total number of wooden boards that can fit in the crate:
Number of boards = Crate Volume / Board Volume
Number of boards = 2160 / 120
Number of boards = 18
Therefore, 8 blocks would fit in the Crate.
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the beach ball were packed 12 in each case .if 75 cases were delivered how many beach ball were there in all.
Answer:
900
Step-by-step explanation:
2x - 5 = 2x + 8 solving algebraically and graphically
What represents the recursive formula for the arithmetic sequence an=7-3(n-1)
Answer:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Step-by-step explanation:
An arithmetic sequence could be defined using only two pieces of information:
The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:
[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].
Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].
When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:
[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
HOW to say 9,999,999,999 In word form how would you say it (SAY IT) if your 4th grades are smart and good for you but we are trying to find how to say 9,999,999,999 in word form (any grade can answer and lm fourteen)
Answer:
nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine
Answer:
nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine
Step-by-step explanation:
Hope it helped brainiest plz and thank you!!!!!!!!
which angles are alternate interior angles
Answer:
2nd
Step-by-step explanation:because
If Ø lies in the quadrant IV what can be the value of cos Ø
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The values of Cos Ø is always positive in the Quadrant IV.
Which expression identifies the multiplicative identity property
Answer:
Step-by-step explanation:
5x(1)=5x
Answer:
The answer is A
Step-by-step explanation:
The multiplicative identity property is applied to numbers in the operation of multiplication. The property states that when a number is multiplied by the number 1 (one), the product will be the number itself. This property is applied when numbers are multiplied by 1. Here, 1 is known as the multiplicative identity element because when we multiply any number with 1, the obtained result will be the same number. This property can be applied to real numbers, complex numbers, integers, rational numbers, and so on. The multiplicative identity property is expressed as: a × 1 = a, where 'a' is any real number.
Example:
44 × 1 = 44, where 44 is the number on which we applied the multiplicative identity.
Note: The multiplicative identity is not applied when any number is multiplied by -1 because the result will not be the same number.
For example, 23 × -1 = -23
is 5x+y^2=25 a linear equation
Answer:
I don't think it is
Step-by-step explanation:
I checked with desmos graphing calculator and the line produced is a parabola. I believe the y^2 made it into a parabola
No, 5x+y^2=25 is not a linear equation.
What is termed as the linear equation?A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it. A linear model in one variable has the standard form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation throughout two variables has the standard form Ax + By = C.For the given equation;
5x+y^2=25
the highest power of the equation is 2.
Thus, the given equation is a quadratic equation or 2 degree equation.
Therefore, the given equation is not a linear equation.
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triangle sum theorem and exterior angle theorem stuff need help pls this due by friday and 1st quarter about to end
Answer:
See below
Step-by-step explanation:
The Triangle Angle Sum Theorem states that the interior angles of a triangle always add up to 180°. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of the two remote interior angles (see diagram).
Myra spends $68.24 on movies. She spends 1/4 of the money buying movies online, and the rest on DVDs. If each DVD cost $17.06, how many DVDs does Myra buy?
Answer:
She bought 3 DVDs because $17.06 is 1/4 of $68.24
What is an equation in point-
slope form of the line that passes
through (-7, 1) and (-3, 9)?
A y + 3 = 2(x - 9)
By - 3 = 2(x + 9)
Cy + 9 = 2(x - 3)
Dy - 9 = 2(x + 3)
Help if u understand pleas and thanks
Answer:
3f
Step-by-step explanation:
f+f+f=3f
since every f has the same value
example
2+2+2=3(2)
6=6
Answer:
3f
Step-by-step explanation:
There are three f's added together, which makes 3f. If you had multiplied them all it would've been f^3, if you had divided f by 3 you would have f/3, and if f=1 it would've just been 3. This is why 3f is the best answer here.
Hope this helps :)
What is what is the equation 3X +10 equals 43 what does X equal
Simplify the expression
√4x^2/3y
PLEASE SHOW WORK!!
Answer:
[tex] \frac{2 \sqrt{3y} \times |x| }{3y} [/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{ {4x}^{2} }{3y} } [/tex]
[tex] \frac{2 \times |x| }{ \sqrt{3y} } \\ \frac{2 \times |x|}{ \sqrt{3y} } \times \frac{ \sqrt{3y} }{ \sqrt{3y} } \\ \frac{2 \times |x| \times \sqrt{3y} }{ \sqrt{3y} \sqrt{3y} } [/tex]
[tex] \boxed{Answer:{\boxed{\green{= \frac{2 \sqrt{3y} \times |x| }{3y}}}}} [/tex]
What do you do in your free time? :D
Answer:
sleep most definitely worth it
Answer:
heyyy
Step-by-step explanation:
I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL
please solve 7 thru 16 plz and thank you also I will give brainlest to best answer.
NEED THIS ASAP PLEASE HELP
The variables x and y in the figure represent the measures of angles.
Solve for x and y.
Answer:
y=45 x = 63
Step-by-step explanation:
ill type it if u need it
x^2-17x+70<0 solve the following inequality
Answer:
the answer is 7<x<10
Step-by-step explanation:
hope dis helped
please someone help meee. Giving brainliest!!
B and D are perfect squares.
Simply plug [tex]\sqrt{81}[/tex] and [tex]\sqrt{144}[/tex] into a calculator.
B explanation:
9 x 9 = 81
D explanation:
12 x 12 = 144
Which equation represents a line parallel to the line x-4y=-2
a: y=-4x - 2
b: y=-1/4 + 5
c: y= 1/4x - 3
d: y=4x - 8
Answer:
c
Step-by-step explanation:
the slope of x-4y=-2 is 1/4
pls help I'm confused!
Answer:
[tex]112\pi[/tex]
Step-by-step explanation:
hi! for this problem, all we need is the equation for the SA for a cylinder!
here's the equation: [tex]A=2\pi(r)(h)+2(\pi)r^{2}[/tex]
BUT FIRST let's identify our given numbers
the radius, or r, is 4 (r = 4) the height, or h, is 10 (h = 10)now all we have to do is plug in what is given to the equation above! not so bad, right?
plugged in equation
[tex]A = 2\pi (4)(10) + 2\pi (4)^{2}[/tex]
- now let's simplify!
[tex]2\pi (40) + 2\pi (16)[/tex]
[tex]80\pi + 32\pi[/tex]
[tex]112\pi[/tex]
your answer should be [tex]112\pi[/tex]
comment or message me if you are still confused or have any questions :)