The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?
Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
(q – 5) 7 simplified
Answer:
7q-35
Step-by-step explanation:
A. Write the ratio and express in simplest or lowest terms.
1. 8 hours to 10 hours
2. 40 minutes to 1 hour
3. 25 centavos to a peso
4. 2 dozens to 18 things
5. 64 km to 2 hours
Step-by-step explanation:
a 8:10
= 8/10
= 4/5
b. 1 hr = 60 min
= 40: 60
= 40/60
= 2/3
d 1 dozen = 12 things
2 dozen = 24 things
= 24: 18
= 12/18
= 2/3
Bernie bought a pair of shoes at the store when they were having a 30% off sale. If the
regular price of the pair of shoes was $42, how much did Bernie pay?
A) $12.60
B) $29.40
C) $24.00
D) $15.30
what is c - b for six grade math
Answer:
specify?
Step-by-step explanation:
give us a image
PLZ HELP ILL MARK U BRAINLIEST!!
Answer:
Step-by-step explanation:
The two horizontal line segments are the parallel sides of the trapezoid.
∠1 and ∠2 are corresponding angles of a transversal across parallel lines, so
∠1 is congruent with ∠2
I need help due in a Hour
50 yd
explanation:1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)
Answer:
No Solution
Step-by-step explanation:
2(x - 5) = 2(x - 3)
2x -10 = 2x -6 When we subtract 2x from both sides we are left with a false statement.
-10 [tex]\neq[/tex] -6
Thus, no solution.
6(1 - 6x) < 38 - 4x
What is the answer to this equation.
Answer:
x>-1
Step-by-step explanation:
Answer:
x > -1
Step-by-step explanation:
Will Gove brainliest:)
Does this table represent a linear or nonlinear function? Explain.
What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
A y = 12 x - 2
B. y = {x-2
C y = 2x - 2
D. y = 6x - 2
Answer:
The answer is D.
Step-by-step explanation:
:DDDDDDDDD
please could u help me with this?
If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)
Answer: 2144
Step-by-step explanation:
v = 4/3pir³
v = 4/3 (3.14) (8)³
v = 4/3 (3.14)(512)
v ≈ 2144
Answer:
2,143.57 cubit units.
Step-by-step explanation:
To find the volume of the sphere, use the formula given below.
Volume = 4/3π r³
Use this formula, the value given for the radius, and 3.14 for to find the volume.
Volume = 4/3π r³
~~ 4/3 (3.14) (8 units)³
~~ 2,143.57 cubic units
Therefore, the approximate volume of the sphere is 2,143.57 cubic units.
2 + 2 = ?
This is for easy points!
The sum of two numbers is 376. The first number is 182
less than the second number. What are the two numbers?
Answer:
376-182=194
so 194 us the 1st
182 is the 2nd
Is 12/20 greater than 1
no, this is false. 1 is greater than 12/20.
Answer:
No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1
HElp please i’m failing and i’m tired of this
Answer:
[tex]\sqrt{4x} =6\\\\(\sqrt{4x} x^{2} =6^{2}\\\\\frac{4x}{4} =\frac{36}{4} \\\\x=9[/tex]
Step-by-step explanation:
i hope it helps
have a nice day ^_^
Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts
Answer:
2
Step-by-step explanation:
What is £1.30 increased by 20%
Step-by-step explanation:
20 % of 1.30 is 1.30×20 / 100 = 0.26
1.30 increased by 20% is 1.30+0.26= 1.56
Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?
Erin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10 each time. in 5 transactions, he deposits $20 each time. Find the total net change in dollars.
Answer:
The answer is 30
Please give me Brainliest it would mean a lot
"Expand the brackets and simplify" (please i need help asap)
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
1 picture 2 questions please help
Answer:
7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm
Step-by-step explanation:
as a ratio in simplest form, 33.5% is express as
Answer:
335/1000
Step-by-step explanation:
33.5% is .335 so 335/1000 is 33.5%
Find the value of x. Round to the nearest degree as needed.
9514 1404 393
Answer:
x° = 59°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...
Tan = Opposite/Adjacent
tan(x°) = 5/3
x° = arctan(5/3) ≈ 59.04°
The value of x is about 59.
a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)
Answer:
x = 46°
Step-by-step explanation:
Since Δ ABC is equilateral then interior angles = 60°
Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so
∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°
BCD is a straight line, then the 3 angles on it sum to 180°, that is
60° + 74° + x = 180°
134° + x = 180° ( subtract 134° from both sides )
x = 46°
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?
PLEASE HELP ME!!!
Determine whether the function rule models discrete or continuous data.
Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.
Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.
A.) Functions # 1 models discrete data. Function # 2 models continuous data.
B.) Functions # 1 models continuous data. Function # 2 models continuous data.
C.) Functions # 1 models continuous data. Function # 2 models discrete data.
D.) Functions # 1 models discrete data. Function # 2 models discrete data.
Answer:
the answer is a tell me if this helps!!
Help Please 5 Stars and brainliest
The results of a study exhibit response bias. Select the statement that best describes the bias in the study. *
OThere were not enough subjects who chose to respond to a survey that was sent as part of the study.
O The interviewer for the study was the boss of the subjects.
O The interviewer for the study did not record the responses of the subjects accurately.
O There was a significant amount of people who declined to participate in the study.
Answer:
the last one
Answer:
the answer is c
Step-by-step explanation:
The difference of a number and 4/ 3 is 11/3. what is the number
Answer:
5
Step-by-step explanation:
15/3 - 4/3 = 11/3
15/3 = 5
The difference of a number 5 and 4/ 3 is 11/3.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, the difference of a number and 4/ 3 is 11/3.
Let the unknown number be x.
Here, x-4/3 =11/3
x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)
To add like fractions, add the numerators and keep the denominator same. That is
x= 15/3
x=5
Therefore, the unknown number is 5.
To learn more about the subtraction of fractions visit:
https://brainly.com/question/5220474.
#SPJ2