Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
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Adrienne and Suki simplified the expression –8 – (–6). Whose answer is correct? Explain where the error was made. The image is below. * 1 point Suki's; Adrienne subtracted 6 instead of subtracting –6. Suki's; Adrienne subtracted 8 instead of subtracting –8. Adrienne's; Suki added 6 instead of subtracting –6. Adrienne's; Suki added 8 instead of subtracting 8.
Answer:
The answer is -2
Step-by-step explanation:
When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.
factor the equation 25x^2+70x+49
Answer:
(5x+7)^2hope this helps
DIG DEEPER At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12
soft pretzels. What is your mean cost per pretzel?
The mean cost is $
per pretzel.
Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. If m∠4 = 105, what is m∠5?
Answer:
<5 = 105 degrees
Step-by-step explanation:
From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case
<4 = <5 (alternate angle)
Since <4 = 105 degrees, hence m<5 = 105 degrees
what is 234 divided by 2 pls help me
Answer:
the answer 117
Step-by-step explanation:
The 234 divided by 2 is 117.
To calculate 234 divided by 2, we perform the division operation step by step.
Step 1: Divide 234 by 2.
234 ÷ 2 = 117
The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:
234 ÷ 2 = 117
Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.
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im stupid and dont want to help my little brother so. and you have to show your work
Answer:
242
Step-by-step explanation:
242
4/968 how many times does 4 go into 9? 2 times put the 2 above the 9
8 4 times 2 equals 8 so you put the 8 below the 9 and subtract
1 6 9 minus 8 equals 1 than you drop the 6
1 6 how many times does 4 go into 16? 4 times. put the 4 above the 6
0 8 than multiply 4 *4 =16 than 16-16=0 drop the 8
8 4 goes into 8, 2 times the 2 goes above the 8. 4*2=8
0 8-8=0
The value of a comic book in the dollars has been found to be 0.20y + 1.50, where y is tye number of years since it was released. for the question there is increasing per year for the comic and the initial value
The increase rate per year is 0.
What is calculus?Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.
here given equatiοn fοr the value οf the cοmic bοοk is:
V(y) = 0.20y + 1.50
where y is the number οf years since it was released.
Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:
dV/dy = 0.20
This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.
Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:
V(0) = 0.20(0) + 1.50 = 1.50
Therefοre, the initial value οf the cοmic bοοk is $1.50.
Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:
d/dy (1.50) = 0
This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.
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if the time is 10pm what time will it be in exactly 12.82 minutes?
Answer:
.....................
Step-by-step explanation:
Answer:
10:13.22
Step-by-step explanation:
10 4 4) Maureen has spent 12 9/10hours tutoring students in math and 6 3/4 tutoring students in science, Which choice is the best estimate for how many hours Maureen has spent tutoring?
(A) 15 hours
(C) 20 hours
(B)25 hours
(D) 30 hours
Answer:
(C) 20 Hours
Step-by-step explanation:
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. a If only half of the machines are working, in how many hours will the order be complete?
If only half the machines are working at the same rate as before, the order will be finished in 64 hours.
When the four big fridges were working simultaneously, they were able to finish the order in 32 hours.
With only half of these fridges, they will only be half as fast. This means that they will complete the order in double the time:
= 32 x 2
= 64 hours
In conclusion, the order will be completed in 64 hours.
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Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?
Answer:
The perimeter of a triangle is the sum of all its three sides.
So,
0.75+0.75+0.75 = 2.25inches
wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relationship between the number of charms purchased, x and the total cost, f( x)
Answer:
f(x) = 2x + 10
Step-by-step explanation:
The amount of charms represents x, or the variable. The price of the charm is represented by 2, or the slope. The necklace is the constant, represented by 10.
what is 5 and one half minus three and one third?
Answer:
1 2/3
Step-by-step explanation:
5 1/2 = 11/2 x 3 = 33/6
3 1/3 = 10/3 x 2 = 20/6
30 - 20 = 10/6 = 1 4/6 = 1 2/3
Answer: 2 1/6
Step-by-step explanation:
5 1/2 - 3 1/3
=
5 3/6 - 3 2/6
=
5 - 3 = 2
3/6 - 2/6 = 1/6
= 2 1/6
Find the difference 3.4-(-1.5)
Answer:
4.9
Step-by-step explanation:
-×-=+
; 3.4 + 1.5=
4.9
Which equation below shows a correct first step for solving 3x = -12
A 3x+ 3 = -12 + 3
B 3x- 3 = -12 - 3
C 3(3x) = 3(-12)
D 3x/3=-12/3
how do I solve for x?
Answer:
85
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is 180 deg.
x + 52 + 43 = 180
x + 95 = 180
x = 85
Answer: 85
The angles in a triangle add up to 180 degrees
180 - 52 - 43 = 85
x = 85 degrees
A girl scout troop hiked 5.8 kilometers southeast in 1.5 hours. What was
the troop's velocity?
O 3.9 km/h southeast
о
4.9 km/h southeast
5.8 km/h southeast
O 7.2 km/h southeast
Answer:
the answer is 3.9 km/h southeast
8. Calculate the length of r or st
9514 1404 393
Answer:
30 miles
Step-by-step explanation:
The Law of Sines is used for this purpose. The angle at R is the difference ...
180° -(23° +34°) = 123°
Then the length r satisfies ...
ST/sin(R) = RT/sin(S)
ST/sin(123°) = (20 mi)/sin(34°)
ST = (20 mi)sin(123°)/sin(34°) ≈ 30.00 mi
The length of r or ST is 30 miles.
Plz helpppp I think I know it but I need to check my answer
Answer:
D
Step-by-step explanation:
(2*6)^4=20736
2^4*6^4 is the same as the expression which is equal to 20736
which expression would be easier to simplify if you use the associative property to change the grouping.
Answer:
the answer is D (27 + 4.5 ) + 1.5
Hope that helps
Answer:
Amswer is A
Step-by-step explanation:
No. 2 BAC and 2 CAD remain congruent, and m 2 DAB is still the sum of mZBAC and m2 CAD.
AN
Question 4
Move point C so that ZBAC and CAD form a pair of supplementary angles, or angles whose sum is 180°. Record each of the angle measurements
for this case.
Answer:
I’m srry I don’t know about question 2 but here’s the answer to Question 4
When the two angles are supplementary, m<BAC = m<CAD = 90° and m<DAB = 180°
Step-by-step explanation:
Answer from Plato
Answer:
No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
This is the answer for question 2
The ratio of boys to girls at a movie is 4:7. If there are 21. girls, how many boys are
at the movie?
Answer:
12
Step-by-step explanation:
7*3=21 so 4*3=12
I need some help please...
Answer:
option 3: 2x²+22xy
Step-by-step explanation:
perimeter of an rectangle = 2(l+b)
= 2{(3x²+5xy)+(6xy–2x²)
= 2(x² +11xy)
= 2x²+22xy
I RLLY NEED HELP BC THIS WAS DUE ALREADY!!! Answer ASAP thank you!
Answer:
10,560 yards
Step-by-step explanation:
5280 plus 5280 equals 10,560
Find (9.3 X 10^6) + (1.8 X 10^4).
Express your answer in scientific
notation.
Please answer i'm studying for a test tomorrow :D
Answer:
7.5 × 10²
Step-by-step explanation:
write an equation for a line perpendicular to y=5x+2 and passing through the point (-10,3)
Step-by-step explanation:
The perpendicular line *always* has a slope of the negative reciprocal. Your given line has a slope of -5, so the perpendicular slope is -1/(-5) = 1/5.
Use the point-slope form of a general line to find the equation.
(y - y_1) = m * (x - x_1)
y - 7 = (1/5) * (x - 15)
The amount of water in a pool varies directly with the amount of time it is filling up. The pool has 2,900 liters of water after 15 seconds. How many liters of water will the pool contain after 45 seconds?
Answer: 24kg
Step-by-step explanation:
Answerr plsss. whooop whoop
-15x²+7x+23=0 i just need the answer of it even it's not correct charr cge na loves
Use the quadratic formula where -15 = a, 7 = b, 23 = c: [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]
Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]
And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]
Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]
Those are approximately 1 and -1.5
Please can someone please tell me how to do thisss
Answer:
Rotate it 90°
Step-by-step explanation:
First graph D(-3, -10)
And a rotation of 90° clockwise is when you move the shape to the left 90°.
And that’s it
Answer:
I have a set of rules that should help you:
When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)
IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer -10, 3
-Hope this helps
Step-by-step explanation: