Answer:
a) y = -2/5x + 3 b) (20, 19)
Step-by-step explanation:
a) slope of PQ => 24-9/22-16 = 15/6 = 5/2
perpendicular line have negative reciprocal slope = -2/5
substitute the new slope -2/5(m) and (5, 1) into the equation: y = mx + c to find the value of c
=> 1 = -2/5(5) + c
=> c = 3
plug in both the slope -2/5(m) and b = 3 into the equation: y = mx + c
=> y = -2/5x + 3
b) (2/3(22 -16), 2/3(24 - 9))=> (4, 10)
(16, 9) + (4, 10) = (20, 19)
Find the solution to the following system using substitution or elimination:
Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
In the accompanying diagram, parallelogram ABCD has
vertices A(2, 1), B(8,1), C(11,5), and D(5,5). What is the
area of parallelogram ABCD?
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
[tex]A = b\cdot h[/tex] (1)
Where:
[tex]A[/tex] - Area.
[tex]b[/tex] - Base.
[tex]h[/tex] - Height.
The base and height of the parallelogram are, respectively:
Base
[tex]b = 8-2[/tex]
[tex]b = 6[/tex]
Height
[tex]h = 5-1[/tex]
[tex]h = 4[/tex]
Then, the area of the parallelogram is:
[tex]A = (6)\cdot (4)[/tex]
[tex]A = 24[/tex]
The area of the paralellogram is 24 square units.
PLEASE DUE IN 5 mins
Answer:
am i too late
Step-by-step explanation:
Can someone please help me with math you probably will have to answer it on desmos.
Answer:
solution - (2,1)
For the graph - just copy my graph
Step-by-step explanation:
The equations are fully simplified already so all we have to do is graph them and find the solution
The solution being where the two lines graphed intersect
As you can see in the graph below the two lines intersect at point (2,1) therefore the solution to the system of equations is (2,1)
Please help me in these 2 questions ASAP! Thanks a lot!
Answer:
see explanation
Step-by-step explanation:
12
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then
[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]
13
Using the explicit formula for a geometric sequence
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then
a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576
In 45 minutes time, Juan rode his horse for a total of 12 miles. He claims that his horse was traveling at 16 miles per hour. What assumption must Juan make for his claim to be true?
a: His horse made a rest stop.
b: His horse traveled at a constant speed.
c: His horse traveled in a straight line.
d: His horse's speed varied throughout the ride.
Answer: b
Step-by-step explanation:
Please help! Factor out the GCF:
Answer:
35(2n + 1) A is correct
Multiply and you'll get
70n + 35
Step-by-step explanation:
35 is the greatest factor
70n / 35 = 2n
Answer:
35(2n + 1)
Step-by-step explanation:
What is the probability of rolling a 1 and rolling a 6?
1/3 or 1/12?
Answer:
1/3
Step-by-step explanation:
Answer:
The probability of is rolling a 1 or a 6 on a die is [tex]\frac{1}{3}[/tex].
Step-by-step explanation:
Since there are six sides to a die, and there are two sides that are either 1 or 6, that means the probability of rolling a 1 or 6 is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex].
What is the answer to my question
Determine the area under the standard normal curve that lies to the left of
(a) Z= -1.05, (b) Z= -0.36, (c) Z= - 1.07, and (d) Z = 1.35.
Answer:
A
Step-by-step explanation:
what percent of 95 is 60.8
Answer:
57.76 :)
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Answer:
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Step-by-step explanation:
the are of a kite is 126 cm² and the length of the diagonal is 14 cm,how long is the other diagonal?
Answer:
i think it's 9
Step-by-step explanation:
A=126cm÷by one diagonal 14
=9
A man places a 20 foot ladder against a 16 foot What is the measure of the angle formed by the ladder and the ground?
Answer:
is there any more context?
Step-by-step explanation:
Answer:
53.130°
Step-by-step explanation:
tan(x)=16/12
x is used in replacement of theta symbol
sin 0 = and cose
2. Find tan 8.
O A. -
O B.
O C. -2
O D.
D
Answer:
answer was A ok alright hf
Answer:
A is your correct answer!
HELPPPPP ME PLEASEEE
Step-by-step explanation:
write and say i am not understanding
Answer:
Ok ok, trust me this is not a scam nor hack
Step-by-step explanation:
I didn't no idea to explain in words so i edited the photo
Calculate the perimeter of the triangle shown.
Answer:36
Step-by-step explanation:15+5+16=36
what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
guys what does integer mean in mathematicians , plss help i kind of forgot✌
Answer:
Integer is a whole number; a number that is not a fraction.
Step-by-step explanation:
Graph the quadratic inequality of y>x^2+6x+6
Answer:
Step-by-step explanation:
Which shows the expression below simplified? (4.9 x 108) ÷ (7 x 105)
Hoping it helps...
Have a nice day!
whats the measure of arc GEH
Answer:
86
Step-by-step explanation:
At G and E
A cylinder has a base radius of 14 mm and a volume of 3920π. What is the height of the cylinder?
Answer:
h = 20 mm
Step-by-step explanation:
V = πr²h
3920π = π(14²)h = π196h
divide both sides of the equation by π196:
20 = h
Clothes company produce suites the variable cost to make each one is $20 each and sells them for $30 each. The cost to rent for the factory is $400. How many suits the company should sell to break-even point?
Answer:
Break-even point in units= 40
Step-by-step explanation:
Giving the following information:
Unitary variable cost= $20
Selling price per unit= $30
Fxed costs= $400
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 400 / (30 - 20)
Break-even point in units= 40
Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4
Answer:
13×1/4
Step-by-step explanation:
turn into improper fraction
for triangle FGH, angles F and G are known, as is the length of side h. Which method should be used to start solving triangle FGH?
- neither law can be used
- law of sines
- law of cosines
- both laws can be used
Answer:
Law of sines
Step-by-step explanation:
i took the test
The law of sines can be used to calculate the side h. Hence, option B is correct.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.
Hence, Hence, option B is correct.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ2
Just ratios, please help
Express the ratio in lowest terms. (Enter your answer in fraction form.)
80/32
Express the ratio in lowest terms. (Enter your answer in fraction form.)
24 to 21
Express the ratio in lowest terms. (Enter your answer in fraction form.)
2/9 to 7/6
Express the ratio in lowest terms. (Enter your answer in fraction form.)
4 1/2 to 2 1/2
If AC =15 how long is ED? Help me :(
Answer:
7.5
Step-by-step explanation:
Using similar triangles.
Answer:
ED=7.5
Step-by-step explanation:
ΔABC is similar to ΔDEB (they share ∠B, and ∠C=∠D and ∠A=∠E because corresponding angles), so their sides are in ratio:
ED/AC=BD/BC
We can see that BC is twice BD (marked), so we know BD/BC=0.5
ED/AC=BD/BC
ED/15=0.5
ED=7.5
QUESTION IN JPG CAN YOU ANSWER A B AND C
Answer: 8:10, 7:54, 26 minutes
Step-by-step explanation:
a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.
b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54
c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.
1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)
Step-by-step explanation:
or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)
or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)
or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)
or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)
or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)
or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156
or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41
or,-7x^2+58x=115
or,-7x^2+58x-115=0
or,-(7x^2-58x+115)=0
or,7x^2-58x+115=0
or,7x^2-(35+23)x+115=0
or,7x^2-35x-23x+115=0
or,7x (x-5)-23 (x-5)=0
or, (x-5)(7x-23)=0
Either, Or,
(x-5)=0 (7x-23)=0
or,x=0+5 or,7x=23
:x=5 :x=23/7
Hence,x=5 or 23/7