Answer:
y = -2/5 x - 2
Step-by-step explanation:
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 2
so slope = -2/5
passes through the point (5, −4)
y = mx + b
b = y - mx
b = -4 - (-2/5)(5)
b = -4 + 2
b = -2
equation
y = -2/5 x - 2
Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?
A professional baseball team won 84 games.The team won 14 more games than it lost.There were no ties.How many games did the team lose?How many did it play?
One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 4x − y + 4 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?
x t(x)
−3 0
0 −4
3 −8
6 −12
9 −16
t(x) has the largest x-intercept: −4.
4x − y + 4 = 0 has the largest x-intercept: −1.
t(x) has the largest x-intercept: −3.
4x − y + 4 = 0 has the largest x-intercept: 4.
Answer:
a
Step-by-step explanation:
From a team of five students, you choose two students at random without replacement. Calculate the probability that the first student selected is the team leader and the second is the assistant team leader. Please show all work!!
Answer:
1/20
Step-by-step explanation:
1/4*1/5=1/20
what is the slope of the line
What is the value of x?
enter your answer in the box
x = [ ]
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have been given an image of two right triangles and we asked to find the value of x.
First of all , we will find the length of segment RT using sine.
[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Upon substituting our given values in above formula we will get,
[tex]\text{Sin}(60^{\circ})=\frac{2\sqrt{3}}{RT}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\text{Sin}(60^{\circ})}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{2}}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\sqrt{3}}\times 2[/tex]
[tex]RT=2\times 2[/tex]
[tex]RT=4[/tex]
Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(45^{\circ})=\frac{x}{4}[/tex]
Multiplying both sides of our equation by 4 we will get,
[tex]\text{tan}(45^{\circ})*4=\frac{x}{4}*4[/tex]
[tex]\text{tan}(45^{\circ})*4=x[/tex]
Substituting [tex]\text{tan}(45^{\circ})=1[/tex] we will get,
[tex]1*4=x[/tex]
[tex]4=x[/tex]
Therefore, the value of x is 4 units.
What value of c makes x2 − 12x + c a perfect square trinomial? −36 −24 24 36
Answer: The value of c must be 36 to make it perfect square trinomial.
Explanation:
A standard perfect square trinomial is [tex]x^2+2ax+a^2=(x+a)^2[/tex] where [tex]a^2[/tex] is the constant term.
Given trinomial [tex]x^2-12x+c=x^2+2(-6)a+c[/tex]
On comparing with standard perfect square trinomial we get a=-6
Therefore the constant term c=[tex]a^2=(-6)^2=36[/tex]
Such that the trinomial becomes [tex]x^2-12x+36=x^2+2(-6)x+(-6)^2=(x-6)^2[/tex] a perfect square trinomial.
Hence the value of c for the given trinomial must be 36 to make it perfect square trinomial.
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?
Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Can Anyone Help Me
Real-world problems that have more than one answer can be described by relations.
A. True
B. False
Help!!!!!!!!!!!!!!!!!!!!!!!!!
The concession stand at a sports arena sells large 3-pints sodas. on an average night four sodas are sold each minute. how many gallons of soda are sold per hour?
The number of transistors per square inch on an integrated chip doubles every 18 months. this observation is known asâ ________ law.
solve the equation 12+ 0.35×=20.05
i need help solving this problem. i have been stuck on it for hours. please help
Solve each system by elimination:
9a-3d=3
-3a+d=-1
The midpoint of ab is =m, −3−2 . one endpoint is =a, 2−8 . find the coordinates of the other endpoint,
b.
convert the Dimensional Analysis Problem Convert 12 days into seconds Will GIVE BRAINIEST!
12 days
12X24= 288 HRS
288X60=17280 MINS
17280X60=1036800 SECONDS
It takes a groundskeeper 40 minutes to prepare a little league baseball field for a game. it takes his assistant 50 minutes to prepare the same field. how long will it take if they work together to prepare the field
james conducted an eperent with 4 possible outcomes he determine that the eperimental probability
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
There are two positive numbers. four times the small number plus 3 times the big number is 41. two times the small number plus the big number is 15. what is 10 times the big number minus 6 times the small number;
Final answer:
To find the value of 10 times the big number minus 6 times the small number, we need to solve a system of equations. The solution to the system is x = 2 and y = 11, so the value of 10y - 6x is 98.
Explanation:
To find the value of 10 times the big number minus 6 times the small number, we need to solve the system of equations:
4x + 3y = 41 (equation 1)
2x + y = 15 (equation 2)
We can first solve equation 2 for y by subtracting 2x from both sides: y = 15 - 2x. Now we can substitute this value of y into equation 1:
4x + 3(15 - 2x) = 41
Simplifying, we get: 4x + 45 - 6x = 41
Combining like terms, we have: -2x + 45 = 41
Subtracting 45 from both sides, we get: -2x = -4
Dividing both sides by -2, we get: x = 2
Now we can substitute this value of x back into equation 2 to solve for y:
2(2) + y = 15
Simplifying, we get: 4 + y = 15
Subtracting 4 from both sides, we get: y = 11
Finally, we can calculate 10 times the big number minus 6 times the small number:
10y - 6x = 10(11) - 6(2) = 110 - 12 = 98
1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
Is 7/35 and 35/70 proportional?
if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar
A. always
B. sometimes
c. never
Final answer:
The statement is B. sometimes true. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. However, it is possible for two polygons to have equal angles and not be similar if their sides are not in proportion.
Explanation:
The statement that if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar is sometimes true.
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if two angles of one polygon are equal to two angles of a second polygon, it is possible that the polygons are similar, but it is not always the case.
For example, consider two rectangles. Both rectangles have two pairs of equal angles, but they may not be similar if their sides are not in proportion.
Please answer this question will mark as brainliest and 15 points
690-6 = 684
690+6 = 696
the answer is A
If a square has side length s, then the perimeter is less than the area.
s = 3
s = 5
s = 7
s = 9
Write y = 3x^2-12x+11 in vertex form. I know the answer, just dont know how to show the work.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
We have,
y = 3x² - 12x + 11
3x² - 12x can be written as:
Taking out common value.
3(x² - 4x).
Now,
y = 3(x² - 4x) + 11 _____(A)
x² - 4x can be written as:
Squaring we get,
= x² - 2.2x + 2² - 2²
= (x² - 2.2x + 4) - 4
[ (a - b)² = a² - 2ab + b ]
= (x - 2)² - 4 ________(B)
Now,
From (A) and (B) we get,
y = 3 (x - 2)² - 4 + 11
y = 3(x - 2)² + 7
Thus,
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Gail lives in Kentucky and pays 6% in sales tax. She just bought $165 in groceries, but $80 worth of those groceries were nontaxable. What is the total amount that Gail paid for the groceries, including sales tax?
A.$165.99
B.$170.10
C.$165.51
D.$174.90
HELPPPPPP ME
Answer:
Option B. $170.10
Step-by-step explanation:
Gail bought groceries worth = $165.00
She gets rebate of taxes on the amount = $80.00
She has to pay tax on = 165 - 80 = $85.00
In her state sales tax are = 6%
So her tax on groceries = 6% of 85 = 0.06 × 85 = $5.10
Now she paid total amount = 165 + 5.10 = $170.10
Gail paid $170.10 for the groceries, including sale tax
Option B. $170.10
write an algebraic expression for the word phrase 40% of x
The algebraic expression for the word phrase 40% of x is 0.40x.
Explanation:The algebraic expression for the word phrase 40% of x is 0.40x. To find 40% of x, you multiply x by 0.40. This means that 40% of x is equal to 0.40 times x.
Final answer:
To write an algebraic expression for the phrase '40% of x', multiply x by 0.40, resulting in the expression 0.40x.
Explanation:
The student is asking to write an algebraic expression for the phrase 40% of x. To convert this phrase into an algebraic expression, we take into account that "of" typically means multiplication in mathematics, and we know that 40% can be written as 0.40. Therefore, the algebraic expression for 40% of x is 0.40 * x or 0.40x.
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)