Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned
Answer:
20%=3800 => all of it is 19000
i didn't undrestand what do you want
sorry:)
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
OKAY HELP so Raegan has a rectangular breadspread that is 238 cm by 435 cm. She wants to sew a fringe around the bread spread. what is the perimiter of the bed spread??? figured that out its 1346 but then it says raegan gets a new breadspread that is 27 cm longer. whats the perimiter now?
Answer:
The new perimeter is 1400 cm
Step-by-step explanation:
The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:
Perimeter = 2 * width + 2 * length
Then the perimeter of the initial bed spread is:
Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm
as you calculated.
Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:
Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm
This is my last one please help you need to explain it just tell me the right answer thank you
Answer:
i might be 25
Step-by-step explanation:
chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"
A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15
Answer:
The correct option is a) 3n - 4 = 15
Step-by-step explanation:
The product of 3 and a number means 3 multiplied by a number (n)
So it'll be 3*n or simply 3n
Now, it says 4 less than the product
So 4 less than 3n
That is equal to 3n minus 4 or 3n -4
So we come to the conclusion that
3n - 4 = 15
Hope this helps!
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
Hi. Can somebody help me with this problem
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
Write the point-slope equation for each line with the given slope and point. y –y1 = m(x – x1) Slope = 5 Point on line = (–1, 3)
Answer:
[tex]y-3=5(x+1)[/tex]
Step-by-step explanation:
Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - Slope
(x1, y1) - Point Coordinate
We are given the point of (-1,3) and the slope of 5.
Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answer:
£ 14430
Step-by-step explanation:
Costing price = £13000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14430
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo
Answer:
[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent
Step-by-step explanation:
Statements, Reason
[tex]\overline{AC}[/tex] bisects ∠BCD, Given
[tex]\overline{DC} \perp \overline{AD}[/tex] Given
∠CDA ≅ ∠CBA Right angles are ≅
[tex]\overline{AC} \cong \overline{AC}[/tex] Reflexive property
ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency
[tex]\overline{BC} \cong \overline{DC}[/tex] CPCTC
Where:
CPCTC = Corresponding parts of Congruent Triangles are Congruent
⊥ = Perpendicular to
≅ = Congruent
∠ = Angle
Δ = Triangle.
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04
Answer:
4
Step-by-step explanation:
I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
12x+7< -11 AND 5x−8≥40 need help asap
Answer:
B
Step-by-step explanation:
Let's solve 12x + 7 < -11.
12x < -18
x < -3/2
Solving 5x − 8 ≥ 40 we get:
5x ≥ 48
x ≥ 48 / 5
Since it says AND, the answer is no solution.
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14
Answer:
157Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
[tex]C= 2\pi r[/tex]
Given
r= 100
[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is [tex]\frac{628.4}{4} = 157.1[/tex]
Approximately the number of flowers is 157
Answer:157
Step-by-step explanation:
Find the value of each expression -7+12+15
Answer:
20
Step-by-step explanation:
Applying the recursive rule aₙ; a ₙ ₋ ₁ + 3, write the first seven (7) terms of the sequence when a = 10.
Answer:
First seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Step-by-step explanation:
Given recursive rule aₙ = a ₙ ₋ ₁ + 3
a1 = 10
[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]
Thus, first seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Divide x^3 - x - 6 by x - 2
Answer:
x^2 +2x + 3
Step-by-step explanation:
x^3 - x -6 / x-2
Step one - FACTOR x^3:
(x-2)(x^2+2x+3) / x-2
Step two - CANCEL the common factor of x-2
x^2+2x+3
Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1
Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)
Answer: (b) (g o g)(5)
Step-by-step explanation:
[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]
Harun and Anis have m boys and n girls. How many children do they have?
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
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Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]
Since, adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]
N
(7x5 – 2x3 + 6) – (3x” – 4x3 – 2)
+
Answer:
67
Step-by-step explanation:
67 bcz
Answer:
67
Step-by-step explanation: