Answer:
y = -1/3x +3
Step-by-step explanation:
When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.
y = m(x -h) +k . . . . . line with slope m through point (h, k)
y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)
y = -1/3x +3 . . . . . . . simplified to slope-intercept form
Find the equation of the line through point (2,−4) and parallel to −6x+2y=4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answer:
y = 3x - 10
Step-by-step explanation:
Step 1: Rewrite 1st equation
2y = 6x + 4
y = 3x + 4
Step 2: Find 2nd equation
y = 3x + b
-4 = 3(2) + b
-4 = 6 + b
b = -10
Step 3: Rewrite 2nd equation
y = 3x - 10
And we have your parallel equation!
1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?
Answer:
Numerical expression to represent this situation : 41 = 20 + P
Martha's profit is $21
Step-by-step explanation:
Total cost price for earrings for Martha = total money invested in material to make earrings = $20
No. of ear rings made = 10
No. of earrings sold for $5= 7
Total Price for these 7 earrings= $5*7 = $35
No. of earrings sold for $2= 3
Total Price for these 3 earrings= $2*3 = $6
Total price for all of the ten earrings = $35+$6 = $41
We know that
selling price = cost price + profit
Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings
let total profit be P
41 = 20 + P
Thus,
P = 41-20 = 21
numerical expression to represent this situation : 41 = 20 + P
Thus, Martha's profit is $21
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Answer:
-10
Step-by-step explanation:
expand: 3x-12>5x+2
subtract 3x and subtract 2 to both sides
-14>2x
which is just
2x<-14
so x<-7.
the only value is -10. :D
Answer:
-10
Step-by-step explanation:
3(x – 4) > 5x + 2
Distribute
3x -12 > 5x+2
Subtract 3x from each side
3x-12-3x > 5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12 -2 > 2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
X must be less than -7
-10 is less than -7
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
What is f(x) + f(x) + f(x)?
Answer:
3fx
Step-by-step explanation:
f(x)+f(x)+f(x)
remove parenthesis: (a)=a
add similar elements: fx+fx+fx
=3fx
Answer: for edge
3f(x)
3x2
12
Can someone please help me I’m stuck
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
Work out m and c for the line: y = 9 − x
Answer:
m = -1
c = 9
Step-by-step explanation:
m is slope, which is the coefficient of x
c is the y-int, which is the constant
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
What is the value of x in the diagram below?
Answer: C
Step-by-step explanation:
IT is dividing by 6
The value of x in the given diagram of two similar triangle is 9 units.
Let us consider the name of two triangles be ABC and PQR.
Such that,
In triangle ABC,
AB = 12 , BC = 54 , m∠BAC = 90° and marked angle is ∠ABC .
In triangle PQR,
PQ = 2 , QR = x, m∠QPR = 90° and marked angle is ∠PQR .
In triangle ABC and PQR we have,
m∠BAC = 90° = m∠QPR
m∠ABC = m∠PQR (given )
By AA corollary,
Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.
Corresponding sides of the similar triangle are in proportion.
AB / PQ = BC / QR
⇒ 12 / 2 = 54 / x
⇒ 12x = 54 × 2
⇒ x = ( 54 × 2 ) / 12
⇒ x = 9
Therefore, the value of x in the given triangle is equal to 9 units.
learn more about value here
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Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.
Answer:
30% percent profit
Step-by-step explanation:
100 pence in a pound.
1000 grams in a kilogram.
She bought 5000g of sweets.
She pays 10×100=1000 pence.
She put them into 5000÷250=20 bags.
She sells the bags for 65 pence each.
She sells them all for 20×65=1300 pence.
She gets a profit of 300 pence or 3 pounds.
She gets a percent profit of 30%.
please help Multiply -4w(w+2)
Answer:
-4w² - 8w
Step-by-step explanation:
All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.
The radius of a semicircle is 5 feet. What is the semicircle's diameter?
Answer:
The diameter of the semicircle is 10 feet.
Step-by-step explanation:
This is because d=r2 or diameter=radius*2
Answer:
Step-by-step explanation:
[tex]Diameter= 2* Radius\\D = 2* 5\\D= 10[/tex]
What is the value of n in the equation 1/2 (n-4) -3 = 3 - (2n+3)
Answer:
n = 2
Step-by-step explanation:
Expand the brackets.
1/2n - 2 - 3 = 3 - 2n - 3
Add or subtract terms.
1/2n - 5 = -2n
Add 5 and 2n on both sides.
1/2n + 2n = 5
5/2n = 5
Multiply both sides by 2/5.
n = 5 × 2/5
n = 10/5
n = 2
2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5
Answer:
D 5
Step-by-step explanation:
Answer:
B. 1/2?
Step-by-step explanation:
Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
Answer:
The new rate would be 3.75%
Step-by-step explanation:
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
Answer: mine was: 4.125%
Step-by-step explanation:
Ravi lost 80 dollars from his pocket.
Write a signed number to represent this change.
Answer:
x - 80
Step-by-step explanation:
Ravi had x dollars in all.
x - 80
help asap. is this b or d. im not really sure so i put d.
Answer:
I'm not 100% sure but I'm pretty sure its 'D'
Answer:
the answer is b
Step-by-step explanation:
What is the y intercept of y=-3x-2? Step by step explanation please help me
Answer:
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 or (0, 2)
Answer:
The y-intercept of the equation is -2.
Step-by-step explanation:
This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.
If x varies inversely as p and x=2 when p=4 find the formula connecting them
Answer:
x = [tex]\frac{p}{2}[/tex]
Step-by-step explanation:
x ∝ p
x = kp -------(1)
Where k is the constant of proportionality.
Now, x = 2 when p = 4
Putting in the above formula
2 = k(4)
Dividing both sides by 4
k = [tex]\frac{2}{4}[/tex]
=> k = [tex]\frac{1}{2}[/tex]
Putting k in (1)
x = [tex]\frac{p}{2}[/tex]
Now this is the required equation connecting both.
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur
Answer:
In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.
Answer:
1/7
The correct answer is 1/7
What is the correct expanded form and value of 4 cubed?
4 + 4 + 4 = 12
4 times 4 times 4 = 64
3 + 3 + 3 + 3 = 12
3 times 3 times 3 times 3 = 81
Answer:
Option 2
Step-by-step explanation:
=> [tex]4^3[/tex]
=> 4 × 4 × 4
=> 64
Answer:
4 times 4 times 4 = 64
Step-by-step explanation:
When a number is cubed, it is multiplied by itself 3 times.
For example, [tex]x^3=x*x*x[/tex].
In our case, it is [tex]4^3=4*4*4[/tex] which would equal [tex]16*4=64[/tex]
Your answer is "4 times 4 times 4 = 64"
I need this answered quickly. What is the value of d to the nearest hundredth?
Answer:
6.48
Step-by-step explanation:
you have to use the sin rule
Answer:
6.48
Step-by-step explanation:
what is the area of this title ?
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
Area = 12 in.²
Step-by-step explanation:
Area = length × width
Where w = 2 and L = 6
So,
Area = 2 × 6
Area = 12 in.²
Let p and q be real numbers such that the roots of
x^2 + px + q = 0 are real. Prove that the roots of
x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
Answer:
Step-by-step explanation:
Known fact: all roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] are real if and only if
discriminant [tex]D = b^2 - 4ac \geq 0.[/tex]
We know that all roots of [tex]x^2 + px + q = 0[/tex] are real. We can derive from this condition that
[tex]p^2 - 4q \geq 0[/tex]. (<----------- HERE)
Let's do some simplification of second equation:
[tex]x^2 + px +q + (x + a)(2x + p) = 3x^2 + x(2p + 2a) + ap + q.[/tex]
So we want according to Known fact prove that discriminant of equation
[tex]3x^2 + x(2p + 2a) + ap + q = 0[/tex] is greater or equal zero.
[tex]D = (2p + 2a)^2 - 4\cdot 3 (ap + q) = 4(p^2 + a^2 + 2ap - 3ap - 3q) = 4(a^2 - ap + p^2 - 3q)[/tex].
To prove that [tex]D \geq 0[/tex], we can view D as polynomial of a:
[tex]D(a) = 4a^2 - a(4p) + 4(p^2 - 3q)[/tex].
Known fact #2: if quadratic polynomial have positive greatest coefficient and it's discriminant [tex]\leq 0[/tex] then polynomial always positive.
So remains to prove that
[tex](4p)^2 - 4\cdot 4\cdot 4(p^2 - 3q) \leq 0[/tex]
lets divide both side by [tex]4^2[/tex]:
[tex]p^2 - 4(p^2 - 3q) \leq 0[/tex]
[tex]-3p^2 + 12q \leq 0[/tex]
divide by 3
[tex]-p^2 + 4q \leq 0[/tex]
transfer terms to the other side:
[tex]0 \leq p^2 - 4q[/tex]
But we know that from "(<----------- HERE)"!!!
So Q.E.D.
PLEASE HELP AS SOON AS POSSIBLE !!
Answer:
D
Step-by-step explanation:
(160x243)^1/5=8.27
D also equivalates to 8.27
Answer:
so the answer for that is D.
Step-by-step explanation:
160 X 243= 38880
38880^.2 (or 1/5) = 8.27
D. 5 carrot thing 5= 1.379..x 6= 8.27
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game. Find the probability that the pitcher will throw fewer than 3 pitches to a batter.
Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
Answer:
.35
Step-by-step explanation:
the area of a square field is 50625 meter square find its perimeter
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?
Answer:
2
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
__
See the attachments for drawings of them.