Answer:
[tex]y = -2[/tex]
Step-by-step explanation:
Given
Horizontal Line
[tex](x_1,y_1) = (4,-2)[/tex]
Required
Determine the equation
The equation is calculated using:
[tex]y - y_1 =m(x-x_1)[/tex]
Where
[tex]m = slope[/tex]
Because the line is a horizontal line, then:
[tex]m = 0[/tex]
Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]
[tex]y - (-2) = 0(x -4)[/tex]
[tex]y +2 = 0(x -4)[/tex]
[tex]y +2 = 0[/tex]
Subtract 2 from both sides
[tex]y +2-2 = 0-2[/tex]
[tex]y = -2[/tex]
Hence, the equation is: [tex]y = -2[/tex]
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
[tex]{\underline{\underline{\bf{Given:}}}}[/tex]
A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]
The measure of side EF.[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]
Pythagorean Theorem:
[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]
[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]
According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.
[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]
[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]
[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]
The length of side EF is 8.802 m.___________________________________________Can the sides of a triangle have lengths 13.9, 12.7, and 5.1?
yes or no?
Answer:
Yes
Step-by-step explanation:
Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7
Answer:
Yes
Step-by-step explanation:
What is the value of 9(4x - 4) when x = 5
Answer:
144
Step-by-step explanation:
plug in 5 where you see the x.
that gives us 9(4(5)-4)
multiply the 4 and the 5 first to get 9(20-4)
and by PEMDAS, we solve the parentheses first so now we have 9(16)
so now just multiply 9x16 to get 144
Step-by-step explanation:
9((4×5)-4)
9(20-4)
9(16)
144
Find the Error A student solved the equation and determined that the solution was –2. Choose the response that shows her error and corrects it.
Multiple choice question.
A)
There is no error, her answer is correct.
B)
The initial equation simplifies to 3x = 0, which means that x = 0.
C)
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
D)
The equation –2 = –2 is always true, so every value of x will make the equation true. The correct solution of the equation is infinitely many solutions.
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.
Here,
The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.
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Francis heard that a car stereo system was on sale for 30% off. If the original price was $62.40, what was the sale price of the stereo?
Answer:
89.14
Step-by-step explanation:
When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?
Answer:
160 pounds
Step-by-step explanation:
If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds
which of the following is true
GIVING BRAINLEST
Answer:
KK
Step-by-step explanation:
Answer is 10.
Step-by-step explanation:
which ones are equal to eachother & why. A,B,C or D?
if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day
f(x) = x - 5; translation 7 units right
Answer:
f(x-7) = x -12
Step-by-step explanation:
horizontal translation 7 units right: f(x-7)
f(x) = x - 5
f(x-7) = x-7 -5 = x -12
Please help me with this question
Answer:
5 x 3/4 < 5
2 x 4/3 > 2
6 x 5/5 = 6
4/7 x 1/8 < 4/7
2/5 x 7/7 = 2/5
1/3 x 6/4 > 1/3
A computer company can inspect 12 laptops in 8 hours. what's the ratio
Answer:
4:1
Step-by-step explanation:
hope this helps
Answer:
The ratio is 1 hour to 1.5 laptops
Step-by-step explanation:
If you divide the time by amount done, there you have the answer.
HELP ASAP WILL GIVE BRAINLY
Exercises
Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces.
edges, and vertices.
Answer:
1 and 2 are not polyhedrons, as a circle has infinite sides
1. cone, 1 vertex
2. sphere, nothing
3. pentagonal prism?
wait but can't every face be a base???
anyway 7 faces, 10 vertices
4. triangular prism
5 faces, 6 vertices
Step-by-step explanation:
We have given the figure
We have to determine whether each solid is a polyhedron.
Then identify the solid.
If it is a polyhedron, name the bases, and faces.
edges, and vertices.
What is the vertex?
A vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.
1 and 2 are not polyhedrons, as a circle has infinite sides
1. cone, 1 vertex
2. sphere, nothing
3. pentagonal prism
anyway 7 faces, 10 vertices
4. triangular prism
5. faces, 6 vertices
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On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?
Answer:
0.4
Step-by-step explanation:
what graph shows the solution to the system of linear inequalities? y>2/3x+3 y<_-1/3x+2
Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Please hurry, I am giving 50 points! I only have a limited time to answer it!!!
Answer: B. 77
Sub x =6 into the given expression
4x^2 - 12x + 5
= 4(6)^2 - 12(6) + 5
= 144 - 72 + 5
= 77
[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]
[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]
[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]
[tex]\\ \sf\longmapsto 144-67[/tex]
[tex]\\ \sf\longmapsto 77[/tex]
please help me im pretty stumped
What’s the percentage ?? Please fast!!! Asap
Answer:
52%.
Step-by-step explanation:
There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.
Answer:
52%
Step-by-step explanation:
26 out of 50 blocks are shaded orange
26/50 = 52%
Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually
Answer:
Step-by-step explanation:
2.50
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.
The difference between individual pay is $6.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Nancy:
Coupon = 5% off
Cost of the purchase = $30
Amount to pay:
= 30 - (5/100) x 30
= 30 - 30/20
= 30 - 1.5
= $28.5
Linda:
Coupon = 10% off
Cost of the purchase = $25
Amount to pay:
= 25 - (10/100) x 25
= 25 - 2.5
= $22.5
The difference between individual pay:
= 28.5 - 22.5
= $6
Thus
The difference between individual pay is $6.
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QR is parallel to ST Rs is parallel TU QS is congruent to SU
prove QRS is congruent to STU
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Line segment QR is parallel to line segment ST.
Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.
So, The included angle of two pairs of parallel lines will also be the same as
line segment QS is similar to line segment SU.
∴ ∠QRS is similar to ∠STU.
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Factor using the trinomial
10.
X2 + 13x + 12
Answer:
Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]
Step-by-step explanation:
We need to factor the trinomial: [tex]x^2+13x+12[/tex]
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,
[tex]x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)[/tex]
So, Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]
Find the value of x.
Given:
Figure of a triangle.
To find:
The values of x.
Solution:
In the figure, we have an angle bisector.
According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Using angle bisector theorem, we get
[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]
Multiply both sides by 7.
[tex]x=\dfrac{15}{14}\times 7[/tex]
[tex]x=\dfrac{15}{2}[/tex]
[tex]x=7.5[/tex]
Therefore, the value of x is 7.5 units.
n+3 +n for n = 6 Can you help
Answer:
15
Step-by-step explanation:
If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.
I hope this helps :)
Ignoring unwritten factors of 1, what is the sum of the numerical factors in the expression below?
−4(x−2)+(x−2)7−(x+5)(x−2)+(x−2)9+(−3)(x−2)
(1 point)
The sum is
.
Answer:
Step-by-step explanation:
Move
2x-3
x2+4x+3
to the left side of the equation by subtracting it from both sides.
x+2
x2-9
+
x-3
x2-2x-3
-
2x-3
x2+4x+3
=0
Simplify
x+2
x2-9
+
x-3
x2-2x-3
-
2x-3
x2+4x+3
Mark me brainless
Answer: the sum is 5
Step-by-step explanation:
Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In the afternoon, she soent four hours doing family portaits sessions but she didnt do as many session as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?
Which quotient is greater than 2?
50 ÷ 28
45 ÷ 23
38 ÷ 16
28 ÷ 15
Please Help :))
Find the value of x in each pair of similar figures
Answer:
21
Step-by-step explanation:
set up proportion and solve
18/12=x/14 (cross multiply)
252=12x
21=x
Somebody pls help me with this
Part C
Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now.
Answer:500(1.2)^x
Plato :)
Answer:
3
Step-by-step explanation:
PLATO
Dan brought 36 vanilla cupcakes and 49 chocolate cupcakes to his school bake sale. Then his friend brought 5 more cupcakes. How many total cupcakes did the bake sale have to sell?
Answer:
90
Step-by-step explanation:
Answer:
90 cupcakes
Step-by-step explanation:
So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.
So the expression would look like this:
36 + 49 + 5 = 90
So, in conclusion, the bake sale had 90 cupcakes to sell
plz mark me brainliest if correct :)