Answer:
third option
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 )
y = - 2x - 5 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 1, 1) into the partial equation
1 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = 1 + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of perpendicular line
What is the GCF of 40x,25
Answer:
The GCF of 40x and 25 is 5.
Step-by-step explanation:
5 goes into both 40 and 25.
Carla has 35 meters of ribbon.how many 5 cm of ribbon can be cut from it?
Answer:
700
Step-by-step explanation:
35 m = 3500 cm
3500 cm ÷ 5 cm = 700
How to solve this because my answer was 18/5=x and I’m not sure it right is my answer right?
determine which representation corresponds to a decreasing speed with an increasing time
How do I solve this? 18= -1 over 2k
Answer:
-1/36
Step-by-step explanation:
18=-1/(2k)
2k=-1/18
k=(-1/18)/2
k=(-1/18)(1/2)
k=-1/36
need help asap...
Can you find where the two lines intercept?
Answer:
Step-by-step explanation:y=4 x=3
What is the values of a and B
What is the Domain of the relation below:
{(0, 1), (-2,5), (3, 2), (-1, 5), (3,-2)}
Write your answer from smallest to largest with a comma.
D = {........
Answer:
(-2, -1, 0, 3,3)
Step-by-step explanation:
The domain simply refers to the possible x-values the function can take
so by listing out all the x-values of the individual points, we have all the domains
That will be ;
(-2, -1, 0, 3,3)
А What is the value of x?
Enter your answer in the box.
X=
Answer:
x = 25
Step-by-step explanation:
Since ∠ A = ∠ B then the triangle is isosceles and AC = BC , that is
4x - 30 = 2x + 20 ( subtract 2x from both sides )
2x - 30 = 20 ( add 30 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Step-by-step explanation:
x=11
hope it helps.
comment me if im correct then i will post step by step
and sorry, if im incorrect.
-5(x + 2) + 5(x - 5)
Answer:
-35
Step-by-step explanation:
X's cancel out each other
-10+-25
Solve the problem using ELIMINATION
20x + 2y = 18 10x + y = 9
Answer:
Infinitely many solutions.
Step-by-step explanation:
Multiply the second equation by -2, then add the equations together
(20x+2y=18)
−2(10x+y=9)
20x+2y=18
−20x−2y=−18
Add these equations to eliminate x
0=0
Infinitely many solutions.
If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of pants?
Answer:
$36.38
Step-by-step explanation:
If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of pants?
Given data
Tax= 7%
Cost = $34
Let us solve for the amount of tax
=7/100*34
=0.07*34
=2.38
Hence the total is =2.38+34
=$36.38
The perimeter of a square field is 6400m. Find the cost of reaping the field at Rs.35 per 100 sq. m.
Answer:
side= 6400/4
=1600
therefore the area= 1600*1600
2560000
cost of reaping 100sq.m.=35
cost of reaping 1sq.m= 0.35
cost of reaping 2560000m sq= 2560000*0.35
= 906000
what is 10,000 x 10,000
not important lol I just wanna know
Answer:
100000000
Step-by-step explanation:
Basic way to do this when using 10's 100's 1000's and up, count the number of zeros on the end and multiple the first regular number then add the zeros back :D
Answer:
100,000,000
Step-by-step explanation:
10,000 has 4 zeros. Double the number of zeros and you get 100,000,000, or one oh oh, oh oh oh, OH OH OOOH
What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?
2a = <__,___>
Answer:
[tex]\vec v = 2\cdot \vec a = \langle -4,6 \rangle[/tex]
Step-by-step explanation:
Let [tex]\vec a = \langle -2, 3 \rangle[/tex], we need to determine [tex]\vec v = 2\cdot \vec a[/tex], which can be found by applying the following property:
[tex]\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle[/tex], [tex]\forall \,\alpha,x,y\in \mathbb{R}[/tex] (1)
Then,
[tex]\vec v = 2\cdot \langle -2,3 \rangle[/tex]
[tex]\vec v = \langle -4,6 \rangle[/tex]
can you help me please
rewrite sin^4x that involves only the first power of cos
Answer:
We want to rewrite:
sin^4(x)
in a way that only involves the first power of the cosine function.
We know that:
sin^2(x) = 1 - cos^2(x)
Then:
sin^4(x) = sin^2(x)*sin^2(x) = sin^2(x)*(1 - cos^2(x))
Now we know that:
cos(2x) = cos^2(x) - sin^2(x)
then
cos(2x) + sin^2(x) = cos^2(x)
We can replace that in our equation to get:
sin^2(x)*(1 - cos^2(x)) = sin^2(x)*(1 - cos(2x) - sin^2(x) )
sin^2(x)*(1 - cos(2x) - sin^2(x) ) = sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)
then:
sin^4(x) = sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)
sin^4(x) + sin^4(x) = sin^2(x) - sin^2(x)*cos(2x)
2*sin^4(x) = sin^2(x) - sin^2(x)*cos(2x) = sin^2(x)*(1 - cos(2x))
sin^4(x) = sin^2(x)*(1 - cos(2x))/2
So we rewrite the equation in such a way that we only have the first power of the cosine function.
Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. How much is the 15% coupon worth?
I need this answered sometime today pls , if you get it right when i submit test i will give you brainliest! :)
Prove whether the quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -12)
Answer:
See the distances bellow
Step-by-step explanation:
Given data
D(-5, -6), E(5, 2)
substitute into the expression for the distance
[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((5+5)^2 + (2+6)^2)\\\\d= \sqrt((10)^2 + (8)^2)\\\\d= \sqrt(100 +64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]
E(5, 2), F(4, -4)
[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((4-5)^2 + (-4-2)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]
F(4, -4), G(-6, -12)
[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6-4)^2 + (-12+4)^2)\\\\d= \sqrt((-10)^2 + (-8)^2)\\\\d= \sqrt(100+64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]
G(-6, -12), D(-5, -6)
[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6+5)^2 + (-12+6)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]
Please help me tysm plzzzzz
Step-by-step explanation:
[tex]{ \huge {\underline {\underline {\mathtt {\red{♡Answer}}}}}}[/tex]
=> X - 2 = -8
=> X=(-6) - 2
=> -8
Answer:
x = -6
Step-by-step explanation:
x - 2 = -8
Add 2 to both sides to isolate the variable, x.
x - 2 + 2 = -8 + 2
-2+2 = 0
-8+2 = -6
Therefore,
x = -6
Check:
-6 -2 = -8
Hope this helps
Caleb invested $8,800 in an account paying an interest rate of 2.8% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $13,060?
Answer: 14.1
Step-by-step explanation:
A certain hydraulic system operates at 6,000 PSI. Complete the percentage change in the volume of oil in the system as the pressure is increased from zero to 6,000 PSI if the oil has a Bulk Modulus of 186,000 PSI.
Answer:
the percentage change in the volume of the oil is -3.22%
Step-by-step explanation:
The computation of the percentage change in the volume of the oil is given below:
= -(6,000 - 0) ÷ (186,000)
= -3.22%
This negative sign represents the decrease in the volume
Hence, the percentage change in the volume of the oil is -3.22%
Mrs. Diaz has 4 brownies left. She wants to share the brownies equally among her 5 children.
Which of the following shows the amount of brownies each child can receive?
14 brownie
59 brownie
54 brownie
45 brownie
Answer:
4/5
Step-by-step explanation:
Multiply 4/1 and 5/1
Answer:
4/5
Step-by-step explanation:
1 459/500 as a decimal
Answer:
1.918
Step-by-step explanation:
1 then do 459/500 x 2 to make 918/1000 then add and convert
White an equation in point slope form of the line that passes through the given point and with the given slope m
(-5,1), m=6
Answer:
y=6x+31
Step-by-step explanation:
Answer:
[tex]y-1=6(x+5)[/tex]
Step-by-step explanation:
The given point is (-5, 1) and the slope is 6.
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
We will let (-5, 1) be (x₁, y₁) and we will substitute 6 for m. Therefore:
[tex]y-(1)=6(x-(-5))[/tex]
Simplify:
[tex]y-1=6(x+5)[/tex]
HELP FAST PLEASE
Determine the value of x
Step-by-step explanation:
3x + 2x = 5x
5x = 100
20
Brainlist pls!
f(x) = 4x + 3 what is the value of f(3)
Answer:
4×3+3=15
so the answer must be 15
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation can be used to determine the number of years it takes for Jacob's balance to reach a certain amount of money . Jacob graphs the relationship between time and money.
What is the -intercept of Jacob's graph?
If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.
y intercept is where x=0 or the initial value
which is 60 because we gots
y=60(1)
y=60
y intercept is at y=60
8 years is x=8
y=82.114
round
y=82.11
answer:
y intercept is y=60
after 8 years, has $82.11
How do you solve 2x=10
Hello!!
So when we have 2x = 10 we are looking for what x equals. This means you'll want to eliminate what you can to get your answer. What you do on one side must be done on the other. Let's give that a go, sha'll we?
2x = 10
We need to use the inverse operation to eliminate a factor. Since 2x is 2 times x we'll have to divide it.
2x/2 = 10
2 divided by 2 cancels each other out and leaves us with the following;
x = 10
So, x = 10
I hope I helped!!
by selling a gas oven for 1035 a shopkeeper gain 15%find it's cost price
Answer:
Step-by-step explanation:
1035-15% of 1035= cost price
=1035-15/100x1035
=1035-155.25
=879.75