A line is drawn so that it passes through the points (-3, -1) and (4, 2).
a. What is the slope of the line?
b. Using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.
Answer:
y - 2 3/7 (x-4)
Step-by-step explanation:
A) To find slope, use the equation:where and are the x and y values of one coordinate point , and and are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.
Let's choose (4, 2) as your point and (-3, -1) as your point, but you can switch those if you want! That makes and x^1 = -3, y1 = -1 . Plug these values into the slope equation:
The slope of the line is 3/7.
B) Remember that the general equation for point-slope form is, where m = the slope, = the x value of a coordinate point on the line, and = the y value of the same coordinate point on the line.
You are given (4, 2) as one of the coordinate points. That means = 4 and = 2. We found the slope, m = in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:
Your point-slope form equation is y - 2 3/7 (x-4).
Answer:
a. 3/7 b. y=3/7x+2/7
Step-by-step explanation:
(-1-2)/(-3-4)=3/7
slope is 3/7
apply point for answer
2=3/7(4)+n
n=2/7
apply
y=3/7x+2/7
Becky's medical bill is $1374. She has a $150 deductible, plus 85% medical insurance
How much will Becky pay?
Helpppp
Answer:
$333.60
Let me know if you have any questionsIt costs $11 for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answer:
0.73
Step-by-step explanation:
8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??
Answer:
See answer below.
Step-by-step explanation:
LA = π rl
1st find l
The radius is 5" and the height is 12" l = ?
h and the r is the two legs in the right triangle when drawn in a cone.
Use a² + b² = c² ⇔ h² + r² = l²
12² + 5² = l²
144 + 25 = l²
169 = l²
[tex]\sqrt{169} = l[/tex]
13 = l
Formula for LA = π r l
LA = 3.14 × 5 ×13 or with a calculator LA = π × 5 × 13
LA = 204.1 sq.in LA = 204.2035225 sq. in
I use 3.14 = for π but you know what the teacher uses in class.
[tex]\sqrt{5}+\sqrt{5}=?[/tex]
[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]
g(x)=(x-1)^3-1 find the inverse of this function
Answer:
G^−1(x)=3√x+1+1
Step-by-step explanation:
Answer:
[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1
Step-by-step explanation:
To find the inverse, swap x and y.
g(x)=(x-1)^3-1
-> x=(y-1)^3-1
Solve the equation in terms of y.
x=(y-1)^3-1
x+1=(y-1)^3
[tex]\sqrt[3]{x+1}[/tex]=y-1
[tex]\sqrt[3]{x+1}[/tex]+1=y
How would you best describe the angle pair
3x4y=-2
9x-10y=38
elimnation method
Answer:
x = 2
y = -2
Step-by-step explanation:
N.B. Assuming the first equation is actually 3x + 4y = -2
The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.
First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.
3(3x + 4y) = 3(-2)
Then, you are left with this. Simply subtract the equations.
9x + 12y = -6
9x - 10y = 38
0 + 22y = -44
Then, simply solve
y = -2
9x + 20 = 38
9x = 18
x = 2
Hope it helps :) and let me know if you want me to elaborate.
1. write a mathematical expression that explains the following sentence:
The sum of 4 and d, then multiply the result by 2
Answer:
(4 + d) × 2
Step-by-step explanation:
math question please help meeee
Answer: what the math question is
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
7 plus 5 (painters plus photographers) equals 12. The remaining (4) adds to 16. 12/16 can be simplified to 3/4
Hope it helps
Would appreciate a brainliest
On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.
Answer: Refer to figure 1 for the diagram needed.
A ' = (-1, 2)
B ' = (-6, 1)
C ' = (-7, 6)
D ' = (-3, 7)
Area = 24 square units
============================================================
Explanation:
Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.
To reflect any given point over the y axis, we apply this rule
[tex](x,y) \to (-x,y)[/tex]
which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.
After all of the points have been reflected, you'll get what is shown in figure 1.
------------------
To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.
The area of rectangle FEHG is 6*6 = 36 square units
Then we subtract off the areas of these four outer triangles
Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.
.Question.[Mathematics]
5! + 5! =
5! + 5! = ?
= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2
= 5 × 4 × 3 × 2 × 1 × 2
= 120 × 2
= 240
[tex] \: \: \: \: \: \: [/tex]
[tex] = 120 \times x![/tex]
step by step explanation[tex]5! \times 5![/tex]
use n! =n ×( n - 1 ) × ...× 2 × 1 to calculate the factorial[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]
calculate the product[tex] = 120 \times x![/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?
Answer=
$10.75 is the cost of an adult ticket
Answer:
£10.75
Step-by-step explanation:
6 tickets=£40.50
cost of adult=£6 more than a child's
let's form an equation!
x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:
2(6+x)+4x=40.50
12+2x+4x=40.50
12+6x=40.50
6x=28.50
x=4.75=the cost of a child ticket
adult ticket =£10.75
2÷2563783939282727262626266262534434262788900
Answer:
128189196964136363133131267217131394450
Step-by-step explanation:
hope this is helpful
I need help with the whole problem
Which equation has the same solution as 7x−14=21?
Answer:
2x=10
Step-by-step explanation:
7x-14=21
x=5
2x=10 (divide both sides by two)
2x/2 10/2
x=5
Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now
7x=35 then you divide 7 in both sides 7 cancels 35/7 =5
x=5
HELP ASAP!!!
x3+y3+z3
Answer:
= k
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.
Answer:
x= 5
Step-by-step explanation:
am isosceles triangle has 2 sides equal i.e the legs.
Solve for the unknown side of each right triangle
x is 9.1 accordingly to the phytagores therom
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.
Answer:
2059.20
Step-by-step explanation:
2024 increased by 17% is
2024 * 1.17 = 2368.08
2368.08 reduced by 15% is
2368.08 ÷ 1.15 = 2059.20
5/6 divided by 2 =?
Need answer soon!!
Answer:
0.416666667
Step-by-step explanation:
(winks and runs off)
Answer:
5/12
Step-by-step explanation:
5/6÷2
5/6÷2/1
5/6•1/2
5/12
b/a if a=8 and b=24.
Answer:
I wilm clear you
Step-by-step explanation:
Given,
If a=8
b=24
Now according to question,
or, b/a
or, 24/8
or, 3
jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey
Use the incomplete reaction to complete the activity. Ba(ClO3)2 → ____ + 3O2 In one or two sentences, identify the type of reaction that is occurring and identify the other product. Based on the subscripts of the elements in the other product and the fact that chlorine has seven valence electrons, determine the number of electrons in barium’s (Ba) outer shell.
The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.
The complete reaction is Ba(ClO3)2 → BaCl2 + 3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.
Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.
Learn more: https://brainly.com/question/2192784
OXIDATION UNIT TEST
1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?
A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell
2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?
C. Hydrogen is oxidized, and nitrogen is reduced.
3. C3H8 + 5O2 → 3CO2 + 4H2O + energy
Which type of reaction is shown?
C. combustion
4. Which phrase best defines a redox reaction?
D. a reaction in which electrons are transferred between different atoms
5. Which statement describes the process of oxidation?
D. Oxidation results in a loss of electrons, so the oxidation number increases.
6. Which chemical equation represents a redox reaction?
D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)
7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?
A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.
8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)
Which elements are oxidized and reduced in the reaction?
D. Iodine (I) is oxidized, and bromine (Br) is reduced.
9. Which action occurs at an electrode of a galvanic cell?
D. electron transfer
10. Which statement best compares a battery and a galvanic cell?
A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.
11. Zn + 2H+ → Zn2+ + H2
2Al + 3Cu2+ → 2Al3+ + 3Cu
Which elements are oxidized?
A. zinc (Zn) and aluminum (Al)
12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)
Which half reaction occurs at the cathode?
B. 3Cu2+(aq) + 6e– → 3Cu(s)
13. Written
14. Written
15. Written
I hope this helps!
Plzzz help me plzzzzzz
Answer:
Circumference of a circle = pi * diameter
[tex]219.8=3.14*d[/tex]
[tex]d=\frac{219.8}{3.14}[/tex]
[tex]d=70[/tex]
Radius = half of diameter
[tex]r=\frac{1}{2} d[/tex]
[tex]r=\frac{1}{2}*70[/tex]
[tex]r=35[/tex]
Area of circle = [tex]\pi r^2[/tex], where r is the radius:
[tex]a=3.14*35^2[/tex]
[tex]a=3846.5[/tex]
If they ran around the track 3 times, they would cover the circumference three times.
[tex]219.8*3=659.4[/tex]
Convert to centimetres:
[tex]659.4*100=65940[/tex]
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
Answer:
15
Step-by-step explanation:
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
solve the equation −4(m+6)=−8
.,........................
Drag the expressions to order them top to bottom from least to greatest.
Answer:
|-5[tex]\frac{3}{7}[/tex]|
|5[tex]\frac{1}{7}[/tex]|
|-4[tex]\frac{6}{7}[/tex]|
|-4[tex]\frac{3}{7}[/tex]|
|4[tex]\frac{2}{7}[/tex]|
Step-by-step explanation:
absolute value is how far the the number is away from zero, it does not matter if it is negative or positive