Answer:
y = -1/14x + 109/14
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.
Plug this value (-1/14) into your standard point-slope equation of y = mx + b.
y = -1/14x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -1/14(-3) + b
To find b, multiply the slope and the input of x (-3)
8 = 3/14 + b
Now, subtract 3/14 from both sides to isolate b.
8 - 3/14 = b
112/14 - 3/14 = b
109/14 = b
Plug this into your standard equation.
y = -1/14x + 109/14
This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)
Hope this helps!
If logx = – 4, what is x?
Answer:
solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.
Exact Form:
x= 1/10000
Decimal form:
x=0.0001
Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10
Answer:G i think sorry if wrong
Step-by-step explanation:
Answer:G
Step-by-step explanation:
help asap ill give brainliest
Answer:18
4x +108=180
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
a straight angle is a total of 180 degrees so you subtract 108 from 180 to get 72 and then divide by 4 to get 18
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
Answer:
1. We would hear better at Dunkin's since its distance from the radio station is the shortest.
2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.
Step-by-step explanation:
1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.
We need to find the distance of each point from the tower.
The shorter the distance from the radio station the better the signal.
The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.
2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.
So, we calculate the distance of each point from the radio station.
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.
So, McDonald's is out of range of the radio station.
Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
willl give brainlyist if quick its timedd
Answer: 0
Step-by-step explanation: The answer is 0
Answer:
y=0
Step-by-step explanation:
Can you help me find the B plzzz
Answer:
B=80
Step-by-step explanation:
B is the same answer as the number on the other side
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
B
Step-by-step explanation:
I got this answer correct on a test
Find the area of the circle. Round you answer to the nearest hundredth.
Answer: well first you need to send the picture
Step-by-step explanation:
1. Take the picture
2. Post it to brainly
3. Get your answer
Can anyone please help me I’ll give you brain list
Answer:
3a. yes
3b. y= 75x
3c. 600 mi
3d. 10 inches
Step-by-step explanation:
3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.
3b: y would equal the amount of inches multiplied by 75, so y=75x
3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles
3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches
HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?
Answer:
x=1
Step-by-step explanation:
x+2=2x+1
x=1
sides of a square must be equal
(9.1 × 109)(7.5 × 102)
Answer:
758803.5
Step-by-step explanation:
that's what i got- no idea if it's right though-
Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS
12 (tell me if im wrong sorry if i am)
Step-by-step explanation:
21. identify the secant that intersects OA.
=============================================================
Explanation:
A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.
This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.
Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.
Answer:
Line BC
Step-by-step explanation:
Answer this please 7= - w/8
Answer:
[tex]w = - 56[/tex]Step-by-step explanation:
[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex][tex] - 1 \times ( - w) = - 8 \times 7[/tex]
[tex]1 \times w = - 8 \times 7[/tex]
[tex]w = - 8 \times 7[/tex]
[tex]w = - 56[/tex]
Hope it is helpful....solve the equation d - 4= -12
d=16
d= - 16
d=8
d= - 8
Solve for x : (X+4) (x-3) =0
Answer:
x=-4,3
Step-by-step explanation:
x+4=0
x=-4
x-3=0
x=3
Rafael drove 819 miles in 13 hours. At the same rate how many miles would he drive in 5 hours
Answer:
315
Step-by-step explanation:
819 miles/13 hours = 63 miles per hour
63 x 5 = 315
If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!
Answer:
60 inches
Step-by-step explanation:
Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches
Hope that helps! :)
-Aphrodite
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
solve for y. -5(6+7y)= -5(6+y)
Answer:
y = 0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5(6+7y)=−5(6+y)
(−5) (6) + (−5) (7y) = (−5) (6) + (−5) (y) (Distribute)
−30 + − 35y = −30 + −5y
−35y − 30 = −5y −30
Step 2: Add 5y to both sides.
−35y − 30 + 5y = −5y −30 + 5y
−30y −30 = −30
Step 3: Add 30 to both sides.
−30y − 30 + 30 = −30 + 30
−30y = 0
Step 4: Divide both sides by -30.
−30y /−30 = 0 /−30
Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno
Answer:
Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno $195 000
Step-by-step explanation:
Ya que no se especifica un valor por unidad de área podemos suponer por ejemplo $ 50 / metro^2
Terreno:
0.3 hm^2
0.9 dam^2
1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.
-Hectómetro cuadrado
1 hm^2 = 10 000 m^2
Por lo tanto,
0.3 hm^2 * 10 000 m^2 / 1 hm^2 = 3000 m^2
-Decámetro cuadrado
1 dam^2 = 1 000 m^2
Por lo tanto,
0.9 dam^2 * 1 000 m^2 /1 dam^2 = 900 m^2
Así que el total del terreno es de 3900 m^2
2) Ahora podemos calcular el valor total del terreno
area* valor (por m^2)
3900 m^2 * $50/ m^2 = $195 000
A LITTLE HELP PLEASEEE!!
Answer:
i think it’s the 5th one
Step-by-step explanation:
How many lies of symmetry does this figure have ?
Answer:
B.
Step-by-step explanation:
You can draw draw ten lines through this figure to get symmetry either side.
In the figure below mPUR =77 and mST=74 Find mPR
Answer:
a)
The angle formed by intersecting chords is half of the sum of the intercepted arcs:
1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°b)
The angle formed by two tangents is the half of the difference of the intercepted arcs:
m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°In hopes of encouraging healthier snacks at school, Pete brought in a tray of carrot sticks and apple slices to share. The tray had a total of 70 snacks, of which 90% were carrot sticks. How many carrot sticks did Pete bring?
Answer:
pete brought 63 carrots
Step-by-step explanation:
70 x .90 = 63
hii can i pls have help, i will give brainliest:D
Answer:
4
Step-by-step explanation:
half gallon is 64 oz. 256 ÷ 64 is 4
Answer
4
Step-by-step explanation:
1 gallon = 128 fluid ounces
1/2 gallon = 64 fluid ounces
Use gallons to convert 256 fl oz then multiply result by 2
256 / 128 = 2
2 x 2 = 4
4 half gallon containers
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answer: 145
Step-by-step explanation:
check
PLEASE HELP ASAP ill give brainliest answer
Answer:
62.1=3 sig fig
185.3=4 sig fig
1,760= 3 sig fig
0.06= 1 sig fig
I don't know if that's all the questions you have or you didn't get the last one In the pic
PLEASEEE HELP!!!!
!!!ILL GIVE >>BRAINLIST<
Answer:
Step-by-step explanation: