Answer:
[tex]22\frac{1}{2}[/tex]
Step-by-step explanation:
(4.5)(5) = 22.5
[tex]22.5 = 22\frac{1}{2}[/tex]
A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).
The solution to the system of equations is (2,0)
The equation is given as:
[tex]y = 0.5x - 1[/tex]
The other equation passes through the points (3,1) and (-5,-7).
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-7 - 1}{-5 -3}[/tex]
[tex]m = \frac{-8}{-8}[/tex]
[tex]m =1[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = 1(x -3) + 1[/tex]
[tex]y = x -3 + 1[/tex]
[tex]y = x -2[/tex]
Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]
[tex]x- 2 =0.5x - 1[/tex]
Collect like terms
[tex]x-0.5x= 2 - 1[/tex]
[tex]0.5x= 1[/tex]
Divide both sides by 0.5
[tex]x= 2[/tex]
Substitute 2 for x in [tex]y = 0.5x - 1[/tex]
So, we have:
[tex]y = 0.5\times 2 - 1[/tex]
[tex]y = 1 - 1[/tex]
[tex]y = 0[/tex]
So, we have:
[tex](x,y) =(2,0)[/tex]
Hence, the solution to the system of equations is (2,0)
Read more about systems of equations at:
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Find the area of each figure
Answer:
17.5
Step-by-step explanation:
7*5/2
Find and b. A 110 B 40° с D
Answer:
a: 70 degrees, b: 140 degrees
Step-by-step explanation:
Each of the sets of angles must add up to 180 degrees.
180 - 110 = 70
180 - 40 = 140
Combine the like terms to create an equivalent expression.
large 9p+3p
Answer:
12p
Step-by-step explanation:
9p+3p=12p
Solve the following system of equations graphically.
y=3x+4
y=-2x-5
Answer:
(x, y) = (-1.8, -1.4)
Step-by-step explanation:
The amount of green jelly beans in a bag is 25%. If there are 12 green jelly beans, how many total
jelly beans are in the bag?
Answer:
48
Step-by-step explanation:
25% is 1/4 of the bag. 12x4 = 48.
There are 48 jelly beans in the bag.
Hope that helps
Answer:
The answer is 48.
Step-by-step explanation:
25%= times by 4.
So.. 12 times 4 = 48.
Hope that helps. x
Write the expanded form of the expression.
3(4x - 6) =
Answer:
12x - 18
Step-by-step explanation:
3 x 4x = 12x
3 x -6 = -18 (Negative and positive make a negative.)
12x - 18
Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31
The measure of side GH is 50.486 units.
Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:
[tex]\angle C \cong \angle F[/tex] (1)
[tex]\angle E \cong \angle H[/tex] (2)
[tex]\angle D \cong \angle G[/tex] (3)
Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:
[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)
If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:
[tex]GH = \frac{FG\cdot DE}{CD}[/tex]
[tex]GH = \frac{31\cdot 11.4}{7}[/tex]
[tex]GH = 50.486[/tex]
The measure of side GH is 50.486 units.
To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965
Find the value of X and prove the following
The value of the variable x can be determined using the circle theorem to
determine the angle formed by x.
The correct responses are;
(1) x = 30°(2) x = 100°(3) x = 60°Reasons:
(1) From circle theorem, we have;
Equal chords subtends equal arcs and vice versaEqual chords subtend equal angles at the center of a circleTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;
Angle at the center = 2 × Angle at the circumferenceTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference
Which gives;
x = 30°(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given
Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x
Equal arcs subtend equal angles at the center of a circle.
Therefore;
Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x
Angle at center = 2 × angle at circumference
Therefore;
x = 2 × 50° = 100°
x = 100°
(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given
By definition, we have;
Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center
According to circle theorem, we have;
Angle at the center = 2 × Angle at the circumference
Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;
y = 20°
[tex]\widehat {AB}[/tex] = 2·y
[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y
Therefore;
[tex]\widehat {AC}[/tex] = 6 × 20° = 120°
[tex]\widehat {AC}[/tex] = 120°
[tex]\widehat {AC}[/tex] = 2·x
Therefore;
2·x = 120°
[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]
x = 60°
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Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
Answer:
i think 1/2(6x-10)-x = 2x-5
Why were people concerned with the East India Tea's Company monopoly over the
tea industry?
Answer:
You accedently put Mathematics I think you meant Social Studies haha
Step-by-step explanation:
Which equation has a unite rate of 0.5
Answer:
r=0.5d
Step-by-step explanation:
How do I solve this?
Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
BRAINLIEST FIRST CORRECT ANSWER!
The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55
A.) 51
B.) 24
C.) 23
Answer:
23 is the answer of this question
Step-by-step explanation:
bye
Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3
Find the gradient of the line segment between the points (3,-2) and (5,-5). Give your answer in its simplest form.
Answer:
2/7
Step-by-step explanation:
gradient y²-y¹/x²-x¹=4-2/4-(-3)
=2/7
{Taking (x¹,y,¹)=(-3,2)
and(x²-y²)=(4,4)
find the zeros of each function. State the multiplicity of multiple zeros y=2x^3+x^2-x
Answer:
Step-by-step explanation:
To find the roots/zeros, set
2
x
3
+
x
2
−
x
equal to
0
and solve.
2
x
3
+
x
2
−
x
=
0
Factor the left side of the equation.
Tap for more steps...
x
(
2
x
−
1
)
(
x
+
1
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
2
x
−
1
=
0
x
+
1
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
The final solution is all the values that make
x
(
2
x
−
1
)
(
x
+
1
)
=
0
true. The multiplicity of a root is the number of times the root appears.
x
=
0
(Multiplicity of
1
)
x
=
1
2
(Multiplicity of
1
)
x
=
−
1
(Multiplicity of
1
)
Answer:
-1, 0, 1/2
Step-by-step explanation:
The function can be factored as ...
y = x(2x^2 +x -1)
y = x(2x -1)(x +1)
The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:
-1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1
1308 evaluated khan academy
Answer: what? What’s the question?
Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aisha’s mistake. Please help.
Answer:
Step-by-step explanation:
Can someone please help me with this
Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
Answer:
2(x + 3) + 4(9x + 8) = ?
Answer:
38x + 38
Step-by-step explanation:
How i can answer this question
Answer:
2a + 7
Step-by-step explanation:
2a + 6 + 1 ← collect like terms
= 2a + (6 + 1)
= 2a + 7
pls pls pls pls help
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?
Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Answer:
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Step-by-step explanation:
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
How to Assign Random Numbers?
We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.
The procedure that the teacher should follow is as follows;
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.Read more about Random Numbers at; https://brainly.com/question/251701
#SPJ2
explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
//also don't send scam links
The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2 miles is greater than 17.6 miles"
In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.
So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"
Learn more about inequality at:
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sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4
x=57
Step-by-step explanation:
x+x+2+x+4=177
3x+6=177
3x=177-6
3x=171
x=57
Therefore the three consecutive numbers are:
57;59;61
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?
Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)
Answer:
45
Step-by-step explanation:
The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.
Please mark brainliest I really need it
Answer:
43 I think that is the Answer
What is the value of k?
Answer:
k = 10
Step-by-step explanation:
the sum of any two interior angles is equal to the exterior angle of the unknown interior angle
4k+5 + 6k+10 = 115
10k + 15 = 115
10k = 100
k = 10