Solve the following system of equations.
2x + y=3
x=2y-1
Make sure there are NO SPACES in your answer. Include a comma in your answer.
ANSWER: {(
)}
Answer:
x=1,y=1
Step-by-step explanation:
For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:
4y-2+y=3
5y-2=3
5y=5
y=1
Now we can plug in 1 for y in the second equation and get:
x=2(1)-1
x=1
This means that x=1, and y=1
A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer
Answer:
7.8 or 8
Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.
5^2 is 25 and 6^2 is 36
Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.
Which number line shows the solution to the inequality 4x+5>9
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
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help please i dont want to fail
1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
NEED HELP ASAP PLS
Rearrange the equation, make the graph table, graph
y -3x=0
What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?
Answer:
[tex]\frac{\pi}{6}[/tex] radians
[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].
As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges 3691 to rent trucks plus an additional fee of 225.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
please help with question 3
Answer:
p = - [tex]\frac{2}{3}[/tex] , p = 2
Step-by-step explanation:
Using the discriminant to solve for p
Δ = b² - 4ac
The condition on the discriminant for 2 eeal and equal roots is
b² - 4ac = 0
Given
p²x² - (p + 2)x + 1 = 0
with a = p² , b = - (p + 2) , c = 1 , then
(- (p + 2) )² - 4p² = 0
(p + 2)² - 4p² = 0
p² + 4p + 4 - 4p² = 0
- 3p² + 4p + 4 = 0 ( multiply through by - 1 )
3p² - 4p - 4 = 0 ← in standard form
(3p + 2)(p - 2) = 0 ← in factored form
Equate each factor to zero and solve for p
3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]
p - 2 = 0 ⇒ p = 2
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
The answer would be -8 1/6.
Write the equation of the line graphed below in slope-intercept form.
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
When finding ratios, did it matter whether you used the values for 3 lawns mowed or the values of 4 lawns mowed?
1.86÷2=1, point, 86, divided by, 2, equals
\text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2
1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
\text{ hundredths} hundredthsstart text, space, h, u, n, d, r, e, d, t, h, s, end text
1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
The equivalent value of the expression 1, point, 86, divided by, 2 is given by A = 0.93.
Given data:
Let the expression be represented as A.
Now, the value of A is
A = 1, point, 86, divided by, 2.
Substituting the values in the equation:
[tex]A=\frac{1.86}{2}[/tex]
On simplifying the equation:
[tex]A=0.93[/tex]
Therefore, the value of A is 0.93
Hence, the equation is A = 0.93
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The complete question is attached below:
Find the equivalent value of the expression "1, point, 86, divided by, 2".
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
help asap please for brainlist !!!!!!!!!
5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.
Answer:3
Step-by-step explanation:
5x3=15
15+4=19
Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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HELP FAST!!! MARKING BRAINLIEST!!!
Prove the following theorem:
Given 3 different lines a, b, and c. If a is parallel to b (a║b), and c intersects a (c∩a), then prove that c intersects b (c∩b).
Answer:
Well, I think this is correct:
Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept. So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)
Sorry if I'm wrong.
Hope this helps! :)
Help me pleaseeeeeeeeeeeeeee
The formula to find the volume of a cube is:
volume= a^3
OR
volume= a*a*a
(a stands for the side length)
The way you would write it is:
V=2.8^3
Then you solve.
You would get 21.952
But since you need to round to the tenth place it would be:
22
Hope this helps! :)
Please answer this question.
1)
Find the value of x.
x=8
Explanation:
the opposite side is 72, which means I have to make 9x end up equaling 72.
72÷9
////
72/9
=8
9×8=72
Therefore
the value of x is 8.
After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?
Answer:2.4 or 12/5
Step-by-step explanation: (4 4/5)/2 = 2.4
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answer:
-8
Step-by-step explanation:
Find the measures of the missing
angles of the right triangles below.
36°
a
b
с
Answer:
a = 54, b = 54, c = 36
Step-by-step explanation:
a + 90 + 36 = 180
a = 180 - 90 - 36
a = 54
b is the same as A
c + b (which is 54) + 90 = 180
c + 54 + 90 = 180
c = 36
Find the answer:
2(-5-3)
Answer:
-16
Step-by-step explanation:
start with brackets
-5-3 = -8
2(-8)
= -16
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
write the equation of the line that is parallel to y=4x+12 through the point (2,3).
Answer:
y = 4x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 12 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
To find c substitute (2, 3 ) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 4x - 5 ← equation of parallel line
Help help math math
Answer:
C=31.41592654
Step-by-step explanation:
C=2πr
r=5
C=2π(5)
Therefore C= 10π or C=31.41592654
Answer:
C = 31.4
Step-by-step explanation:
