Answer:
equation of line
step one
(7,-3) (x,y)
slope = y-(-3) = 4
x-7 1
= 4(x-7) = 1(y+3)
4x-28=y+3
4x-28-y-3 =0
4x-y-31=0
equation of line is = 4x-y-31=0
In a pile of cards, there are four hearts, twelve clubs, and eight diamonds. How many times would we expect a diamond to be drawn in 300 trials?
The correct answer is c. 100.
Step-by-step explanation:
Number of cards in the given pile = 24
Total number of diamond cards in the pile = 8
Probability of picking up a diamond in a draw of card from the pile is given by .
There are supposed to be 300 trials.
Therefore number of times a diamond card is picked from the pile is given by 300 × = 100.
Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units
Answer:
It is 6.38 units!
Step-by-step explanation:
I took the test and it was correct.
The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right-angle triangle given:
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,
After drawing the triangle:
Applying the tan ratio in the right-angle triangle:
tan50 = EF/DE
tan50 = 7.6/DE
DE = 7.6/tan50
DE = 6.377 ≈ 6.38 units
Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
#SPJ5
find x and y intercepts y=(2x+10)(x-2)
Step-by-step explanation:
[tex]y = (2x + 10)(x - 2)[/tex]
[tex]y = 2x(x - 2) + 10(x - 2)[/tex]
[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]
[tex]y = 2x ^{2} + 6x - 20[/tex]
[tex]to \: find \: x \: intercept \: y = 0[/tex]
[tex]0 = 2x ^{2} + 6x - 20[/tex]
[tex]x = 2 \: or \: - 5[/tex]
[tex]to \: find \: y \: intercept \: x = 0[/tex]
[tex]y = 2(0)^{2} + 6(0) - 20[/tex]
[tex]y = - 20[/tex]
Answer:
y = -20
x- 2, -5
Step-by-step explanation:
Jenni is eating a package of gummy bears. There are 4 red, 2 yellow and 3 green gummy bears left. What is the probability that she'll eat two yellows without looking in the bag.
Answer:
1/45
Step-by-step explanation:
Total = 10
Probaility of getting yellow: 2/10
Probbaility of getting yellow again: 1/9
2/10 * 1/9= 2/90 or 1/45
Which expression is equivalent to 3(2x+4y)-y? Show your work
A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y
Hey there!
3(2x + 4y) - y
= 3(2x + 4y) - 1y
= 3(2x) + 3(4y) - 1y
= 6x + 12y - 1y
= 6x + 11y
LETS TEST OPTION D. FOR YOUR RESULT…
Option D.
6(x + 2y) - y
= 6(1x + 2y) - 1y
= 6(1x) + 6(2y) - 1y
= 6x + 12y - 1y
= 6x + 11y
6x + 11y = 6x + 11y which makes this statement TRUE ☑️
Therefore, your answer is:
Option D. 6(x + 2y) - y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
4, raised to what power, equals 1/4
Answer:x=-1
Step-by-step explanation:
4^x=1/4
x=-1
win a brainliest for free by answering questions
Answer: 1.2
Step-by-step explanation:
Please explain how you got to the answer. Brainly!!!!!
Answer:
11. 4
12. 2
13. 2
14. 2
15. 3
Step-by-step explanation:
Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.
To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.
11.
4x³y has degree 4
3x²y² has degree 4
-y³ has degree 3
The highets degree of all terms is 4, so the degree of the polynomial is 4.
12.
a has degree 1
b has degree 1
-c² has degree 2
The degree of the polynomial is 2.
13.
The degrees of the terms are, in order, 2, 2, 2.
The degree of the polynomial is 2.
14.
The degrees of the terms are, in order, 1, 2, 1.
The degree of the polynomial is 2.
15.
The degrees of the terms are, in order, 3, 2, 1.
The degree of the polynomial is 3.
simplify
p^2+pq+3qr+3pr
with steps
Answer: (p+q)(p+3r)
Step-by-step explanation:
p²+pq+3qr+3pr
Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.
p(p+q)+3r(p+q)
Factor out common term p+q by using distributive property.
(p+q)(p+3r)
John has expenses that total $4280 a month. He spends 22% on his mortgage for his home each month. How much of his total does he spend on his mortgage?
In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
What is the ratio of sinC?
Enter your answer as the fraction, in simplest terms, like this: 42/53
Answer:72/97
Step-by-step explanation: took the test.
EASY, PLEASE HELP, ASAP
Answer:
B. 50 feet
Step-by-step explanation:
6 times 2.5 is 15
so that means 20 also has to be multiplied by 2.5
which becomes 50
Answer: B. 50 feet
Step-by-step explanation:
We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:
[tex]\frac{20}{6} =\frac{x}{15}[/tex]
Now we will cross multiply and solve for x:
300 = 6x
50 = x
x = 50
The length of the second triangle is B. 50 feet
I DONT UNDERSTAND Julio bought a backpack for 39$ and 2 belts for 17$ each the sales tax is 6%. How much did Julio spend for all items including tax??
A-$59.64 C-$77.38
B-$63.00 D-$89.01
Answer: C
Steps:
39+17+17=73
73x0.06=4.38
4.38+73=77.38
Add the sales tax to price without tax
Answer:
C. $77.38
Step-by-step explanation:
Items + tax = total
Items × .06 = tax
OR
Items × 1.06 = total
39 + 17 + 17 = 73
73 × .06 = 4.38
73 + 4.38 = 77.38
OR
73 × 1.06 = 77.38
Which of the following statements about closure is NOT true?
Polynomials are closed under addition
Polynomials are closed under subtraction
Polynomials are closed under multiplication
Polynomials are closed under division
Answer:
Polynomials are closed under division is the answer.
Answer:
Polynomials are closed under division
Also:
were did you go man :(
How do you move a variable from one side of the equal sign to the other??
Find the value of AB in the given figure.
Answer:
AB = 6 cm
Step-by-step explanation:
[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]
State the quadrant in which lies if secθ > 0
and cscθ < 0.
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
Answer:
D
Step-by-step explanation:
secΘ > 0 in 1st and 4th quadrants
cscΘ < 0 in 2nd and 4th quadrants
then
secΘ > 0 and cscΘ < 0 in the 4th quadrant
i forgot how to do this
help
Answer:
62.8 inStep-by-step explanation:
C=2πr
r=10in
C=2*π*10
C=20*3.14
62.8 in
Which of the following are possible side lengths for a triangle
Answer:
B
Step-by-step explanation:
The two smallest sides of a triangle must be greater than the third, larger one.
A: 6 + 2 > 9
8 > 9
False
B: 5 + 7 > 8
12 > 8
True
C: 2 + 4 > 6
6 > 6
False
d=22in cuál es la circunferencia
Answer:
If the diameter is 22 and the radius would be half of 22 so it would be 11
A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume
Answer:
I dont know
Step-by-step explanation:
Please help I will give
BRAINLY
5 STARS
and a THANKS
Answer:
1, 3, 5, 7
Step-by-step explanation:
the c stands for columns.
when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.
Answer:Day 26
Step-by-step explanation : just multiply the numbers
If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation
Answer:
D
-by-step explanation:
all other is incorrect
helpppp please please
Answer:
the answer is 51.315
Step-by-step explanation:
hope i was able to help you out
Huw is paid a weekly wage.
Every week he:
saves
1/5 of his wage,
spends 70% of the money he has left on his living expenses,
spends all that remains on his social life.
One week, Huw saves £40.
How much does Huw spend on his social life?
_____%
Answer each question about the following series: 3 4.5 6 7.5 9 10.5. what is the common difference of the arithmetic sequence on which the series is based? d =
Answer:
45.6
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
In the given series 3 4.5 6 7.5 9 10.5
[tex]a_{1}=3[/tex] , [tex]a_{2}=4.5[/tex] , [tex]a_{3} =6[/tex]
As the series is arithmetic and in arithmetic series common difference is,
[tex]d=a_{2}-a_{1}[/tex]
[tex]d_{1} =4.5-3=1.5\\[/tex]
[tex]d_{2} =6-4.5=1.5[/tex]
So, common difference is 1.5
The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?
6. 75÷114. 75=n
6. 75÷n = 114. 75
6. 75n=114. 75
6. 75 + n= 114. 75
Answer:
6. 75n=114. 75
Step-by-step explanation:
each magazine cost: $6.75 plus tax
and on weekend the store collected it sale total: $114.75?
=> 6.75n = 114.75 = 17 magazines sold
Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and , 1 hours serving customers. What were Delia's earnings? A. $46.97 B. $47.25 C. $53.00 D. $57.75
Solve this quadratic equation using the quadratic formula.
2x 2 - 2x = 1
[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]
3x-6y=-12
x-2y=-8
Is it:
Inconsistent
Not enough information
Coincident
Consistent Independent
Answer:
(a) Inconsistent
Step-by-step explanation:
Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.
3x -6y = -12 . . . . given first equation
x -2y = -4 . . . . . . divide by 3
Compare this to the second equation:
x -2y = -8
The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.
Answer:
InconsistentStep-by-step explanation:
Equation 1
3x - 6y = -12Divide throughout by 3 to simpliest formx - 2y = -4Equation 2
x - 2y = -8On comparison, it is seen that the slopes are same, but the y-intercepts are different.
This means this has no solution, or the graph is inconsistent.