Answer:
y=4x-8
Step-by-step explanation:
m=4 (1,-4)
-4=4(1) + c
-4=4+c
-4-4=c
-8=c
y=4x-8
Answer: y = 4x - 8
Step-by-step explanation:
The best way to go about this is to first put the information you know into point-slope form, which is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the values of our point (1, -4), so:
[tex]y_{1}=-4[/tex], and [tex]x_{1}=1[/tex].
[tex]m[/tex] represents our slope of 4, so:
[tex]m=4[/tex]
From this, we can plug in our values:
[tex]y-(-4)=4(x-1)[/tex]
A little simplification and distrobution takes us to this:
[tex]y+4=4x-4[/tex]
Then simply subract 4 from both sides to get this:
[tex]y=4x-8[/tex]
An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the [tex]y=mx+b[/tex] form where b is the y-intercept.
Identify the correct explanation and the similarity statement for the similar triangles.
A: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Subt. Thm., m∠C = 30°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
B: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅ , m∠B = m∠C.
This gives m∠C = 75° by substitution.
Then, by the Δ Sum Thm., m∠A = 30°.
Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
C: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠C.
This gives m∠C = 30° by Substitution.
Then, by the Δ Subt. Thm., m∠A = 75°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
D: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Sum Thm., m∠C = 30°. Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
Answer:
Option B
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠B = m∠C = 75° [Isosceles triangles]
By applying triangle sum theorem,
m∠A + m∠B + mC = 180°
m∠A + 75° + 75° = 180°
m∠A = 180° - 150°
m∠A = 30°
In triangle PQR,
m∠P = m∠Q [Isosceles triangle]
By applying triangle sum theorem,
m∠P + m∠Q + m∠R = 180°
2(m∠P) + 30° = 180°
m∠P = 75°
m∠P = m∠Q = 75°
In ΔABC and ΔRPQ,
m∠B ≅ m∠Q [Given]
m∠C ≅ m∠R [Given]
Therefore, by AA property of similarity of two triangles, both the triangles will be similar.
ΔABC ~ ΔRPQ
Option B will be the answer.
Here are the ages (in years) of 12 professors at a college.
51, 34, 56, 48, 37, 39, 59, 53, 52, 45, 3367
What is the percentage of these professors who are younger than 50?
=__%
Answer:
50%
Step-by-step explanation:
6 professors younger than 50 years = 6/12 = 50
Answer:
%50
Step-by-step explanation:
If you count the number of proffessors that are under 50, there are six. If there are 12 proffessors then it would be 1/2. One half in percentage is %50.
Pls give Brainliest!
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answer:
[tex]P = 0.1447[/tex]
Step-by-step explanation:
Given
[tex]n = 7000[/tex] -- total
[tex]d = 180[/tex] --- defective
[tex]r = 6[/tex] --- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]
[tex]Pr = 0.8553[/tex]
Using the complement rule, the probability that the batch will be rejected is:
[tex]P = 1 - 0.8553[/tex]
[tex]P = 0.1447[/tex]
Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.
Answer:
y is 5.
Step-by-step explanation:
[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]
Introduce log base 10:
[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Angle MNO measures 112°. What is the measure of angle LMN?
Answer:
hope this help
Step-by-step explanation:
Answer:
90
51
10
Step-by-step explanation:
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true
What is the circumference, in inches, of the front tire of Susan’s bike?
Answer:
The bike will travel approximately 1,272 inches or 106 feet.
Step-by-step explanation:
The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.
Hope this answer helps you :)
Have a great day
Mark brainliest
what is the relationship that have the same rate of change
Answer:
I don't really know sorry
Simplify this expression: 4(1 – 26) + 76 – 10.
Answer:
-b - 6
Step-by-step explanation:
4(1 - 2b) + 7b - 10
Apply the distributive property:
4(1 - 2b) + 7b - 10
(4)(1) + (4)(−2b) + 7b + (−10)
4 + (−8b) + 7b + (−10)
Combine like terms:
4 + −8b + 7b + −10
(−8b + 7b) + (4 - 10)
-b - 6
Answer:
-b - 6
Step-by-step explanation:
4 (1 - 2b) + 7b - 10
4 - 8b + 7b - 10
-b - 6
A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?
Answer:
25/72
Step-by-step explanation:
P( blue) = blue / total = 4/12 = 1/3
P ( blue, blue) = 1/3 * 1/3 = 1/9
P ( red) = red / total = 5/12
P ( red, red) = 5/12 * 5/12 = 25/144
P ( green) = green /total = 3/12 =1/4
P ( green , green) = 1/4 * 1/4 = 1/16
Add these together to get
P( same colour twice) = 1/9+ 25/144 + 1/16
=16/144 + 25/144 + 9/144
=50/144
=25/72
Answer the question written in the image.
Answer: 28
Step-by-step explanation:
The pattern is multiply the right and bottom, add the left
For example, 9*8+7=79
So, 24*3+x=100
72+x=100
x=28
SEE QUESTION IN IMAGE
Answer:
B. 48°Step-by-step explanation:
∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)
m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)
m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)
Correct choice is B
5 + 8n = 7(-7 + 4n) -6
Answer:
n = 3
Step-by-step explanation:
Given
5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side
5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )
5 - 20n = - 55 ( subtract 5 from both sides )
- 20n = - 60 ( divide both sides by - 20 )
n = [tex]\frac{-60}{-20}[/tex] = 3
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.
Answer:50+(3x22)=116
Step-by-step explanation:
Select the correct answer.
Which is the correct simplified form of the expression ?
A.
B.
C.
D.
Answer:
it should be letter b sorry if its wrong
the answer should be choice B
Will give brainliest need a quick answer
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
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A square has a perimeter of 4 cm. What is the length of each side?
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
Solve
4/√7-1 +2/√7+1
Answer:
[tex]\frac{4}{\sqrt{7}}-1+\frac{2}{\sqrt{7}}+1[/tex][tex]=\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}-1+1[/tex]
[tex]\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}=\frac{6\sqrt{7}}{7}[/tex]
[tex]\frac{6\sqrt{7}}{7}-1+1[/tex]
[tex]-1+1=0[/tex]
[tex]=\frac{6\sqrt{7}}{7}[/tex]
OAmalOHopeO
Answer:
Answer is (6[tex]\sqrt{7}[/tex] +2)/6
Step-by-step explanation:
The question isn't very clear, so I'm gonna assume the denominator is [tex]\sqrt{7}[/tex]-1 and [tex]\sqrt{7}[/tex]+1
If my savings of $x grows 10% each year, how much will I have in 1 year?
Answer: $1.1x
Step-by-step explanation:
x = your saving at beginning of year10% = 0.1At the end of year 1, it will increase by 10%:
[tex]x+0.1x=x(1+0.1)=1.1x[/tex]
log 55 is the power to which ---- must be raised in order to produce a value of 55
Answer:
10
Step-by-step explanation:
just took the quiz
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
pls for the LOVE OF GOD. i can't do graphs
Answer:
Second Option
Step-by-step explanation:
We need to graph the equation
[tex]y = \frac{2}{3} x - 1[/tex]
The -1 represent the y intercept. So our y intercept will be at (0,-1).
We then would move up 2 and right 3 units because that represent our slope. So the second option.
Hai giá sách có 450 cuốn sách .Nếu chuyển 50 quyển từ giá thứ nhất sang giá thứ hai thì số sách ở giá số hai sẽ bằng 4/5 số sách ở giá thứ nhất ?Tính số sách ở mỗi giá.
Step-by-step explanation:
hơi khó hiểu thông cảm UwU
write in simplest form :
36 minutes to 3/2hrs
Answer:
⅗hrs
Step-by-step explanation:
1hr =60 min
? = 36 min
cross-multiply .........
36 min × 1hr/60 min= 36min/60min × 1hr
=36/60 × 1 hr
= ⅗hrs
One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.
Answer:
5/27 ft²
Step-by-step explanation:
a = 1/3
b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3
the area of the rectangle is a×b
Ar = 1/3 × 5/9 = 5/27 ft²
(X²-3x-1)²-12(x²-3x-1)+27
Answer:
Step-by-step explanation:
x^4 - 6x^3 -5x^2 +42x +40
Answer:
Step-by-step explanation:
(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)
= x^4 +9x² +1 -6x³ +6x -2x²
=x^4 - 6x³ + 9x² -2x² + 6x + 1
=x^4 - 6x³ + 7x² + 6x + 1
(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x² + 36x + 12 + 27
=x^4 - 6x³ + 7x² - 12x² + 6x +36x + 1 + 12 +27
=x^4 - 6x³ - 5x² + 42x + 40
Find the perimeter of the polygon
Answer:
Answer 60
Step-by-step explanation:
The distance from an exterior point to the incircle is equal to the tangent length in both cases.
So the 19 is made up of 9 and 10.
The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.
By a similar argument the lower length of the line to the tangent point is 11.
So you have
9 + 9 + 10 + 10 + 11 + 11
18 + 20 + 22 = 60.
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
9514 1404 393
Answer:
C: 2 and 3 only.
Step-by-step explanation:
We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).
The product of two odd numbers is odd, so (2) is one of the true statements.
__
Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.
Only statements (2) and (3) are true.
