whats the distance between (-4, 6) and (3, -7)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )
Finding the distance between these two points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units
Hope I helped!
Best regards! :D
how do I simplify 3(5+6h)
Answer:
33h
Step-by-step explanation:
first you distribute the three: 3 x 5 + 3 x 6h
then you multiply: 3 x 5 = 15 3 x 6h = 18h
then you add: 15 + 18h = 33h
(just add 15 and 18 then add h on the end)
mathematics algebra
Answer:
⇒ [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4m}{3}-\frac{3(n+3)}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n+9}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n}{2}-\frac{9}{2}[/tex] [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]Answer:
i doubt you still need the answer but first step is to create like demononators
Step-by-step explanation:
Given the following function: f(x) = 4x +7
Evaluate -3 • f(9) = ?
Answer:
-129
Step-by-step explanation:
f(x) = 4x +7
-3*f(9) = -3*(4*9 + 7) =-3*(36 + 7) =- 3* 43 =-129What are real and distinct roots
Answer:
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. ... If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.
Step-by-step explanation:
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A=lw+0.5bh. Solve for b
Answer:
b = (A - lw) / 0.5h
Step-by-step explanation:
The formula for area of the enclosed place is
A=lw+0.5bh
Where,
A= Area of the enclosed space
l= length of the rectangle
w= width of the rectangle
b= base of the triangle
h= height of the triangle
A=lw+0.5bh
Solve for b
A=lw+0.5bh
Subtract lw from both sides
A - lw = lw + 0.5bh - lw
A - lw = 0.5bh
Divide both sides by 0.5h
(A - lw) / 0.5h = (0.5bh) / 0.5h
(A - lw) / 0.5h = b
Therefore,
b = (A - lw) / 0.5h
Answer:
b= A-lw over 0.5h
Step-by-step explanation:
Find how long it takes a person to drive 94 miles on a highway if she merged into a highway at 1pm and drives nonstop with her cruise control set on 40mph
Answer:
2.35 hrs
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm
Step-by-step explanation:
distance traveled = 94 miles
cruise speed = 40 mph
time taken = ?
time taken = distance/speed = 94/40 = 2.35 hours
2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm
Solve for x:
(x+4)
3
= 2.
O a
X = -2
Ob
b =
hox=2
Ос
X=
WIN
Od
10
X=
1
3
Step-by-step explanation:
(x+4)3=2
3x+12=2
3x=-12+2
3x=-10
divide both sides by 3
x=-10/3
The slant height is 8 inches and the diameter is 8 inches, what
is the total surface area of the right cone?
Answer:
150.85inches
Step-by-step explanation:
TSA of cone= πr(r+l)
= 22/7×4(4+8)
= 150.85inches
Rewrite in simplest terms: -9(-9y – 9y + 5) – y
Answer:
161y - 45
Step-by-step explanation:
a pole that is 3.3 m tall casts a shadow that is 1.18 m long at the same time a nearby tower casts a shadow that is 44.75 m long how tall is the tower? round your answer to the nearest meter
Answer:
1.58 *h=50.5 * 2.9
1.58 *h = 146.45
divide by 1.58
h=92.68987= 92.69
Step-by-step explanation:
How many grams NaCl would you use to make a 4M solution in 100ml
Answer:
Amount of NaCl = 23.376 gram
Step-by-step explanation:
Given:
Molarity = 4M
Volume of solution = 100 ml
Find:
Amount of NaCl
Computation:
Molar mass of Na = 22.99 g/mole
Molar mass of Cl = 35.45 g/mole
Molar mass of NaCl = 22.99 + 35.45
Molar mass of NaCl = 58.44 g/mole
Molarity = [moles of solute / volume of solute(ml)]1,000
4 = [moles of solute / 100]1000
Moles of solute = 0.4
moles of solute = Mass of solute / molar mass
0.4 = Amount of NaCl / 58.44
Amount of NaCl = 23.376 gram
Maria is trying to meet her friends at the pool but construction is blocking her path from the parking lot directly to the pool. Because of this, she has to walk 20 ft north, 35 ft east, and then 20 ft south to get to the pool. Find her distance and displacement
Answer:
The distance Maria walked is 75 ft.
Total displacement from her starting point is 35 ft east.
Step-by-step explanation:
Consider the sketch below.
The distance travelled can be obtained by adding all the distances walked in different directions.
This is 20ft +35 ft +20ft = 75ft
The distance Maria walked is 75 ft.
The displacement of an object refers to the distance travelled in a specified direction.
We noticed that maria moved 20ft north, then 35 ft east, only to come back 20 ft south again.
This means her total displacement from her starting point is 35 ft east. this is because her north and south movements cancelled out each other.
The pinata weighs 11/4 pounds without candy.He adds 8bags that weighs 3/8,3/8,1/2,1/2,1/2,3/4,3,11/4 how much will the pinata weigh when it is filled with the eight bags of candy
Answer:
[tex]Weight = \frac{23}{2}[/tex]
Step-by-step explanation:
Given
Weight of Pinata = 11/4 lb
Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4
Required
Weight of Pinata when filled with candies
To solve this question, we simply need to add all weights together
First, we need to add up the weight of the candies
[tex]Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}[/tex]
Take LCM
[tex]Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}[/tex]
[tex]Candies = \frac{70}{8}[/tex]
Simplify:
[tex]Candies = \frac{35}{4}[/tex]
Next; Add the weight of the candies to the weight of pinata
[tex]Weight = Candies + Pinata[/tex]
[tex]Weight = \frac{35}{4} + \frac{11}{4}[/tex]
Take LCM
[tex]Weight = \frac{35 + 11}{4}[/tex]
[tex]Weight = \frac{46}{4}[/tex]
Simplify
[tex]Weight = \frac{23}{2}[/tex]
Hence, the weight of the Pinata after it is filled with candies is 23/2 lb
Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?
Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(
somebody please HELP I NEED TO PASS THIS
Clear parentheses and combine like terms:
Answer:
2x - 6y + 16
3rd option
Step-by-step explanation:
Step 1: Write out expression
2(x - 3y + 8)
Step 2: Distribute
2x - 6y + 16
Since there is no other like terms to combine, that is our final answer.
A crowbar of 2m is used to lift an object of 800N. If the effort is 160m, calculate the effort applied.
Plz give full process answer. I want it soon.
Answer:
It's of science not of mathematics
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 \: N}}}}}[/tex]
Step-by-step explanation:
Given,
Load distance ( LD ) = 2m
Load ( L ) = 800 N
Effort distance ( ED ) = 160 m
Effort ( E ) = ?
Finding the Effort applied
Apply the principal of simple machine :
[tex] \boxed{ \sf{L \times LD = E\times ED}}[/tex]
[tex] \longrightarrow{ \sf{800 \times 2 = E \times 160}}[/tex]
[tex] \longrightarrow{ \sf{1600 = 160 \: E}}[/tex]
[tex] \longrightarrow{ \sf{160E = 1600}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{160E}{160} = \frac{1600}{160} }}[/tex]
[tex] \longrightarrow{ \sf{E = 10 \: \: newton}}[/tex]
Effort applied = 10 N
Hope I helped!
Best regards! :D
(10 + 3) - (20 ÷ 10) 2 )
I believe the answer is 9.
The Theodore Teddy Bear Company can pack 48 medium size bears in a carton. They received an order for 500 medium bears from the Canadian Traveling Carnival. Estimate the number of cartons needed to ship the order.
Answer:
11 cartons.
Step-by-step explanation:
Since only 48 bears can be fitted into 1 carton, we need to find how many cartons approximately 500 bears can fit in:
500/48 = 10.4167 cartons
We can't have 4/10ths of a carton. Makes no sense in the real world. Therefore, we need a total of 11 cartons to pack 500 bears, even if one box isn't full.
What is the answer? Plz help not good at math.
Answer:
37
Step-by-step explanation:
Answer:
83.92 - 47.23 = 36.69 to round to the nearest whole it would be 37
Step-by-step explanation:
83.92
- 47.23
= 36.69 and if its five or more you round up so its 37
Which number completes the square to form a perfect square trinomial?
x2 +12x +
Answer:
36
Step-by-step explanation:
(x + 6)(x+6)
F.O.I.L.
x^2 +6x + 6x + 36
X^2 + 12x + 36
Answer:
36
Step-by-step explanation:
● x^2 + 12x
● 1 × x^2 + 2 × 1 × 6 × x
Notice that the third term is 6
So we will add 36 (6^2)
● x^2 + 12x + 36
● (x+6)^2
Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?
Answer:
2
Step-by-step explanation:
Answer: 3 lbs per week were lost
Step-by-step explanation:
what is the answer for -6 - d= -2d
Answer:
d = 6
Step-by-step explanation:
[tex]-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}[/tex]
Hope this helps.
1. AB = 11 and BC = 5. Find AC 2. AC = 16, BC = x + 4, AB = x + 14. Find x
Look at this diagram:
F
E
G
Which diagram shows AEFG rotated 30° counterclockwise about U?
Answer:
angle FG=EU
angle EU=FG
FG:EU
FE=GU
A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6) B. (1, 1) and (1, 3) C. (1, 2) and (2, 3) D. (1, 3) and (3, 6)
Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Answer:
a
Step-by-step explanation:
Question 10
Is it possible to construct any type of triangle with the given lengths?
9, 12, 19
no
yes
Answer:
yes
Step-by-step explanation:
When forming a triangle, the sum of 2 of the sides must be greater than the third. In this case 12+9=21 which is greater than the third side (21>19)
Three houses A B and Clie on the same line on a map. House Blies exactly in the middle of house A and house C The point (3,6) on the
map represents house A and the point (-5-3) represents house B.
Find the coordinates of house Con the map
Answer:
(-13, -12)
Step-by-step explanation:
The midpoint (x,y) between two points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) on the coordinate plane is given by:
[tex]x=\frac{x_1+x_2}{2};\\\\y=\frac{y_1+y_2}{2}[/tex]
Hence given that house A is at (3, 6) and house B is at (-5, -3). Since house B is placed at the middle of house A and house B, let the coordinates of house C be ([tex]x_2,y_2[/tex]). Hence:
[tex]-5=\frac{3+x_2}{2\\} \\3+x_2=-10\\\\x_2=-10-3\\\\x_2=-13[/tex]
[tex]-3=\frac{6+y_2}{2\\} \\6+y_2=-6\\\\y_2=-6-6\\\\y_2=-12[/tex]
Therefore house C is at (-13, -12)
Elena drank 3 liters of water yesterday. Java drank 3/4 time as much water as Elena. Line drank twice as much as much water as jada. Did Line drank more or less water than Elena
A pyramid with a rectangular base has a volume of 105 cubic centimeters and a height of 15 centimeters. The length of the rectangular base is 7 centimeters. Find the width of the rectangular base.
Answer:
Hey there!
V=lwh/3
315=lwh
315=15(7)w
315=105w
width=3
Hope this helps :)
The width of the rectangular base of the pyramid is W = 3 centimeters
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the volume of the pyramid be represented as V
Now , the value of V is
V = 105 cm³
And , the length of the pyramid L = 7 cm
The height of the pyramid is H = 15 cm
Let the width of the pyramid be W
And , Volume of Pyramid = ( 1/3 ) ( L x W x H )
105 = ( 1/3 ) ( W x 15 x 7 )
On simplifying , we get
105 ( W ) ( 1/3 ) = 105
Divide by 105 on both sides , we get
W / 3 = 1
Multiply by 3 on both sides , we get
W = 3 cm
Therefore , the value of W is 3 cm
Hence , the width of pyramid is 3 cm
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