Answer:
y = -2x - 4.
Step-by-step explanation:
The points marked are (-2,0) and (0,-4).
The slope of line = (-4-0) / (0- -2)
= -4/2 = -2.
The y-intercept is at y = -4,
so the equation required is y = -2x - 4.
Answer:
y = - 2x - 4
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m = [tex]\frac{-4-0}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = - 2x - 4 ← equation of line
if angle a = (7x-27) and angle b = (3x + 29) , then find the value of x.
Answer:
x = 14
Step-by-step explanation:
7x - 27 = 3x + 29
Subtract 3x from both sides;
4x - 27 = 29
Add 27 to both sides;
4x = 56
Divide both sides by 4;
x = 14
k/2+1/2=3 find the k
Answer:
k = 5
Step-by-step explanation:
Given
[tex]\frac{k}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
Answer:
K=5
Step-by-step explanation:
K/2=3-1/2
k/2=2 1/2
k= 2 1/2 * 2
k=5
A farmer is mapping out one of his fields and is placing markers to section off areas to use for different crops. He has placed marker 1 at the point (2, 1), marker 2 at the point (-3, 1), and marker 3 at the point (2, 5). If each unit on the grid is one kilometer, what's the distance between marker's 1 and 2?
Answer:
5km
Step-by-step explanation:
The distance between two coordinates is expressed as;
D = √(x2-x1)²+(y2-y1)²
Marker 1 is at coordinate (2,1) and marker 2 at (-3,1)
Substitute into the formula
D = √(-3-2)²+(1-1)²
D = √(-5)²
D = √25
D = 5
Hence the distance between marker one and two is 5km
Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9? y = 2x3 + x2 + 3x +5 y =9 y = 2x3 + x2 y = 3x + 14 y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9
Answer:The answer is y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1
Proof:
Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9
Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1
Divide both sides by 2:
Answer: x = 1 or x = -4 or x = -1/2
Step-by-step explanation:
The answer is y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1
Explanation:
Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9
Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1
Divide both sides by 2:
Answer: x = 1 or x = -4 or x = -1/2
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.
Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
The converse which would serve as prove that l is parallel to m are given in the answers below:
Considering the information in the given diagrams:
1. Yes, l is parallel to m.
The converse is: "If corresponding angles are equal, then l is parallel to m". One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].
Thus, l || m.
2. Yes, l is parallel to m.
The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".
So then, l || m.
3. Yes, l is parallel to m.
The converse is: "if two corresponding angles are right angles, then they are congruent".
Therefore, l || m.
4. Yes, l is parallel to m.
The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".
Therefore, l || m.
Visit: https://brainly.com/question/19670823
Write this percentage as a fraction in its simplest form.
13% ؟
Answer:
The answer is 13/100.
Step-by-step explanation:
In order to convert percentage to fraction, you have to divide it by 100 :
[tex]13\% = \frac{13}{100} [/tex]
Answer:
13/100
Step-by-step explanation
percentage just means "out of 100"
Draw two lines with slope 3. What do you notice about the two lines?
What does s=? In this equation
Answer:
s=11
Step-by-step explanation:
The opposite sides of a parallelogram are equal
So the equation is
5s=s+44
=>5s-s=44
=>4s=44
=>s=44/4
Therefore
s=11
If you find my answer helpful then please mark me as brainliest
PLS help with the question in the picture!
Answers:
y = 50
angle AOB = 100
=========================================
Explanation:
Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.
Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.
-------------------
Point O is the center of the circle. This is because "circle O" is named by its center point.
Angle AOB is considered a central angle as its vertex point is the center of the circle.
Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.
This is the inscribed angle theorem.
Using this theorem, we can say the following
central angle = 2*(inscribed angle)
angle AOB = 2*(angle x)
angle AOB = 2*50
angle AOB = 100 degrees
send the from 18 to 23 with process in copy plz
22. l = 12m
b = 10m
Perimeter = 2(l + b)
= 2(12 + 10)
= 24 + 20
= 44m
Area = l×b
= 12 × 10
= 120m²
(a) Fencing required = 44m
Cost per metre = $12
Cost for the fencing of 44m = 12 × 44
= $528
(b) Levelling required = 120m²
Cost per metre² = $50
Cost for the levelling of 120m² = 120 × 50
= $6000
A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?
{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}
Answer:
A. {t| 0< t < 14}
Step-by-step explanation:
got it right
Ansnwer
{t| 0 ≤ t ≤ 14}
Step-by-step explanation:
I got it right on edge 2020
At what value of x do the graphs of the equations below intersect?
2x − y = 6
5x + 10y = −10
Answer:
x = 2
Step-by-step explanation:
You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10You then would calculate for x.Your end result should be x = 2, which is the point that the two equations intersectThis works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
Hope this helped!
Answer:
x = 2
Step-by-step explanation:
Given the 2 equations
2x - y = 6 → (1)
5x + 10y = - 10 → (2)
Multiplying (1) by 10 and adding to (2) eliminates the y- term.
20x - 10y = 60 → (3)
Add (2) and (3) term by term to eliminate y, that is
25x = 50 ( divide both sides by 25 )
x = 2
The value of x at the point of intersection is x = 2
What is the rate of change represented in the graph below?
Answer:
I'm confused you did not provide the graph that is referenced on this question...
How would you graph the solution set of x/1 ≤ -18?
Get a graphing calculator
Answer:
closed circle on 6 and shaded to the left
Step-by-step explanation:
HELP PLEASE!!!
Sonia graphs the equation y=-x^2+4x and y=x-4 to solve the equation -x^2+4x=x-4. Her graph is shown below.
what are the solutions of -x^2+4x=x-4?
a)-5 and 0
b)-5 and -1
c)-1 and 4
d)0 and 4
899,765 rounded to the nearest hundred thousand
Answer:
900,000
Step-by-step explanation:
Round 500 and above so round up to 900,000.
Hope this helps plz hit the crown :D
Answer:
900,00
899,765 → 900,000
$22 skateboard; 25% discount
━━━━━━━☆☆━━━━━━━
▹ Answer
$16.50
▹ Step-by-Step Explanation
If you are trying to find the new price, we will deduct 25% from the original cost of $22.
To figure this out, you can multiply 0.25 * 22.
From there, you will get $5.50. This means there will be a $5.50 discount applied. To find the new cost, we will now subtract.
$22 - $5.50 = $16.50
The new cost of the skateboard is $16.50.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Multiply (²⅘)(-⁵⅔) helllpppppp meeee plllssss
Answer:-416/5
Step-by-step explanation:
which set represents a Pythagorean triple?
1, 2, 4
2, 4, 6.
3, 4, 10.
5, 12, 13.
Plz help thank you
Here is my math problem, thanks :) -8+16-9+1222-784
Answer:
437
Step-by-step explanation:
i just simplified it, but i hope this helps!
have a good day!
and mark me brainliest while your at it! ;D
Answer:
437
Step-by-step explanation:
What's the distance between points (2,-3) and (5,1)
Answer:
[tex]d = 5[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define points
(2, -3)
(5, 1)
Step 2: Solve for d
Substitute: [tex]d = \sqrt{(5-2)^2+(1-(-3))^2}[/tex]Subtract: [tex]d = \sqrt{(3)^2+(1-(-3))^2}[/tex]Change signs: [tex]d = \sqrt{(3)^2+(1+3)^2}[/tex]Add: [tex]d = \sqrt{(3)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{9+16}[/tex]Add: [tex]d = \sqrt{25}[/tex]Evaluate: [tex]d = 5[/tex]The length of a rectangle is 3 m longer than it’s with.if the perimeter of the rectangle is 50 m find the langth and the width
Answer:
2(3x+x)=50...4x=25...width is 6/25 meter and length is 18/75
Can someone help me please?? For brain list
Answer:
here ill give you the answers
2. 1,920 3.745 4. 5,768 5. 1,172 6. 2,496 7. 1,922 8. 7,533
Step-by-step explanation:
hoped i helped mark brainliest plsss have a good day
Solve for the variable x - 9 = 11
Answer:
20
Step-by-step explanation:
x - 9 = 11
+9 +9
x = 20
A spotlight has a beam that travels 100 feet and covers an area intercepted by an 84°
angle, as shown
What is area covered by the beam to the nearest square foot?
31416 satt
184 sq.ft
7330 sq.ft
26389 sq.ft
Answer:
7330 sq.ft
Step-by-step explanation:
Area covered by the beam = Area of sector
Area of sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex]
Where,
[tex] \theta = 84° [/tex]
Radius (r) = 100 ft
Plug in the values into the formula
Area of sector = [tex] \frac{84}{360} \times \pi 100^2 [/tex]
Area of sector = [tex] \frac{84 \times \pi \times 10,000}{360} [/tex]
Area of sector = 7,330 ft² (nearest square foot)
m=n-x/5
m +x/5=n
x/5=n-m
x=5(n-m)
is this right?
Answer:
yeshhh doggo is bac from da weekend
Step-by-step explanation:
Answer:
1. B
2. A
3. 3
4. 2
5. 1
Step-by-step explanation:
Hope this helps!!
Love you all!!
Identify the domain and range of the relation. (Do not put spaces between the numbers)
(2,5), (3, 11), (5, 13), (9, 20)
PLEASE HELP THE THIS IS TIMED YO
Answer: domain: [2,3,5,9] . range [5,11,13,20]
Step-by-step explanation: also possible, depending on how the instructor defines the parameters
For domain, find the lowest and highest x values [2,9]
for range, tale the lowest and highest y values [5,20]
Solve the simultaneous equations:
6x-4y=39
2x+y=6
Answer:
(9/2, -3)
Step-by-step explanation:
Which of the following quotients are negative? Check all that apply.
2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
0.4 ÷ –0.4
Answer:
b and d
Step-by-step explanation: i did the assignment
Marlon saves Php 4.50 on Monday, Php 7.25 on Tuesday, Php 5.55 on Wednesday, Php 3.95 on Thursday, and Php 8.15 on Friday from his daily transportation allowance for 3 weeks. From these savings, he wants to buy a 3-layered lunch box which costs Php 195.75. How much more must he save?
A) Php 107.55
B) Php 8.20
C) Php 29.40
D) Php 170.55
Answer: Php 107.55
Step-by-step explanation:
From the question, Marlon saves Php 4.50 on Monday, Php 7.25 on Tuesday, Php 5.55 on Wednesday, Php 3.95 on Thursday, and Php 8.15 on Friday . The Total amount saved will be:
= 4.50 + 7.25 + 5.55 + 3.95 + 8.15
= 29.40
Amount saved for 3 weeks will be:
= 29.40 × 3
= 88.20
Since the lunch box he wants to buy costs Php 195.75 and he has saved Php 88.20. The remaining amount will be:
= 195.75 - 88.20
= 107.55