Answer:
(2x+3)+(x-1)+(3x-5)
Step-by-step explanation:
add all your expressions & Ect together .
Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both isosceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
How do you factor f(x) = x^3 – 3x^2 – 10x + 24 ?
Answer:
f(x) = x³ – 3x² – 10x + 24 = (x + 3)(x – 2)(x – 4)Step-by-step explanation:
I would use the Horner method.
f(x) = x³ – 3x² – 10x + 24
f(2) = 2³ - 3·2² - 10·2 +24 = 0 ⇒ x=2 is the root of function
So:
| 1 | -3 | -10 | 24 |
2 | 1 | -1 | -12 | 0 |
therefore:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x² – x – 12)
For x² – x – 12:
[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]
It means:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x – 4)(x + 3)
distribute -3(9x^2+10x)
Answer:
-27x^2-30x hoped that helped
Plzzzzzz helpppppp meeeee
Using the slope, state whether the lines are parallel, perpendicular, or neither.
Y= 2x-3
y=-1/2x+2
Answer:
Parralel lines have the exact same slope.
in the equation y=mx+b m is the slope
Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.
Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.
With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.
Perpendicular is your answer
Step-by-step explanation:
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue????????? I really need this right noww pleassseee
Answer:
Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)
Step-by-step explanation:
SOMEONE HELP ME PLS
Answer:
1/5^15
Step-by-step explanation: when ever you want to convert the number becomes a fraction to sibstitute for the sighn change and the exponent stays positive.
I am preparing a fruit salad for 16 guests. Each person gets 3/4 of a cup. How many cups are needed?
Answer:
12 cups, since .75*16=12
Step-by-step explanation:
An athletic director wants to buy soccer balls and footballs. Each soccer ball costs $15. Each football costs $20. The director can spend no more than $150 in all. Write an inequality to model the situation, where x is the number of soccer balls and y is the number of footballs.
Answer:
15x + 20y = 150
Step-by-step explanation:
15x is how many soccer balls he can get and 20y is how many footballs he can get. (I don't know how to explain my thinking.)
write this equation in word form.
x3 + 1
Answer:
X cubed plus one
Step-by-step explanation:
Factor the polynomial.
5x4 + 10x3 + 15x2
Answer:
5x^2(x^2 + 2x + 3)
Step-by-step explanation:
All the terms can be factored by 5 and x^2, so we get:
5x^2(x^2 + 2x + 3)
there are no more common terms so this is the answer
Write two division equations for each multiplication equation.
1. 15 ⋅ 2/5 = 6
2. 6 ⋅ 4/3 = 8
3. 16 ⋅ 7/8 = 14
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the value of each drinking cup?
*see attachment for the dimensions of the cone given.
Answer:
7.9 in³
Step-by-step explanation:
Given:
Height of cone = 4 in.
Diameter of cone = 2¾ in
Radius (r) = ½ of 2¾ = 1.375 in
Required:
Volume of the cup
Solution:
Volume of the cup = volume of a cone
Volume of a cone = ⅓πr²h
Plug in the values of π, r and h into the formula.
Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)
74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7
feet in size. What is the total area of the field?
Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot = 7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
Y=-2(x-1)^2+8 a) Determine the coordinates of its turning point and state whether it is a Maximum or minimum B) Determine the y-intercept C)Determine the coordinates of the x-intercepts(if any)
Answer:
(a) The coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.
(b) The y-intercept has a value of 6
(c) The coordinates of the x-intercepts have a value of x=3 and x=-1
Step-by-step explanation:
You know y= -2*(x-1)² + 8
(a) Every quadratic function can be expressed by the canonical form:
f(x)=y= a*( x- h)² + k
where a is the principal coefficient and the ordered pair (h; k) are the coordinates of the vertex of the parabola.
The quadratic function will have a maximum or minimum value at the vertex. If a> 0, the parabola is concave, that is, it will have its branches upwards, therefore the vertex will indicate the minimum of the function. But if a <0 the parabola is convex and the vertex will indicate the maximum of the function.
Comparing the given equation with the canonical form of a quadratic function you can see that:
a=-2h=1k=8Then, the coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.
(b) The y-intercept arises from evaluating the function at x = 0. So, in this case:
y= -2*(0-1)² + 8
Solving:
y= -2*(-1)² + 8
y= -2*1 + 8
y= -2+8
y= 6
The y-intercept has a value of 6
(c) The roots or coordinates of the x-intercepts arise from evaluating the function at y = 0. So, in this case:
0= -2*(x-1)² + 8
Solving:
-8= -2*(x-1)²
[tex]\frac{-8}{-2} =(x-1)^{2}[/tex]
4= (x-1)²
√4= |x-1|
⇒ 2=x-1 → 2+1=x → 3=x
⇒ -2=x-1 → -2+1=x → -1=x
The coordinates of the x-intercepts have a value of x=3 and x=-1
The sum of the two shorter sides of a triangle must be greater than the longer side. the shorter side of a triangle is 8 inches and the longest side is 18 inches. how long must the third side of a triangle be?
Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?
Answer: 5.86yd
Step-by-step explanation:
From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.
The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:
= 1.25 yd - (-4.61 yd)
= 1.25 yd + 4.61 yd
= 5.86 yd
Please help me the picture is above, I’ll mark as brainliest.
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs 11.20 you want to find the cost for a 49 mile taxi ride
Answer:
the unit price needed to calculate is $0.8 per mile
Step-by-step explanation:
Here is the complete question:
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you need?
Step-by-step explanation:
To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x
If it cost $11.20 for a 14 mile ride
Then, it will cost $x for a 1 mile ride
∴ x = (1 × 11.20) / 14 = 0.8
x = 0.8
The taxi ride costs $0.8 per mile.
Hence, the unit price needed to calculate is $0.8 per mile.
If desired,
To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,
Distance = 49 mile
Unit price = $0.8 per mile
∴ Cost for a 49 mile taxi ride = 49 × $0.8
Cost for a 49 mile taxi ride = $39.2
Hence, the cost for a 49 mile taxi ride is $39.2
what is the slope to y=−3x+7
Answer: slope= -3
Step-by-step explanation: use the slope intercept form to find slope
Micah's Family ate some of the two pies that he baked. which number represents the amount of pies that is left
Answer:
The answer is 6/8
Step-by-step explanation:
6/8 is the only logical answer because you need to have an answer that is less than one, 8/6 evens out to 1 1/3, 6/2 evens out to 3, and 8/4 evens out to 2. 6/8 is the only fraction that is less than one.
Answer:
its 6/8
Step-by-step explanation:
A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8
Answer:
A
Step-by-step explanation:
The number of five-digit flippy numbers are divisible by 15 is;
Option B; 4 Numbers
We want 5 digit flippy numbers that are divisible by 15.For a number to be divisible 15, it has to be divisible by 3 and 5.
Also, for a number to be divisible by 5, it's last digit has to be 0 or 5.
Since it is a flippy digit and 0 cannot start it as it is a five digit number, then the first and last digits must be 5. Also, the center digit must be 0 or 5 to fulfill both conditions.Thus, the format of the number should be;5N5N5
For it to be divisible by 3, since 5 + 5 + 5 = 15 is divisible by 3, the N + N can be equal to 0, 6, 12, or 18 since N is identical.
Thus, possible numbers are; 50505, 53535, 56565, 59595.Read more at; https://brainly.com/question/19238760
Hi could someone help me with this problem? If so, thank you. (ASAP!!)
Answer:
B
Step-by-step explanation:
A has a change of 20 Fahrenheit.
C has an overall change of 21 kilometres.
D has a total distance of 6.2 kilometres.
PLS GIVE BRAINLIEST
Answer:
B.
Step-by-step explanation:
Buys item = -2.25
Sells item = +2.25
-2.25 + 2.25 = 0
A) The difference between -10 and 10 is 20.
C) sea level = 0, 0 + 21 = 21
D) 3.1 + 3.1 = 6.2
A volleyball has a mass of 4 kg Calculate the potential energy of a volleyball that is in the air at a height of 15 m. (g = 9.8 m/s
Gravitational Potential Energy = mass x acceleration due to gravity x height
GPE = mgh
ОА
147J
B
588 J
O C60
O
D
360 J
CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)
Answer:
6.40312423 hope that helps
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)
d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]
= [tex]\sqrt{2^2+(-7)^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex]
What is the first step in solving this equation?
3(2x+6) -4 = 2(5x-2) +6
Answer:
Distrubutative property
Step-by-step explanation:
Can someone please check to see if I selected the right answer... Please
There are 12 pencils and 24 map colors to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?
Answer:
the answer is 2
Step-by-step explanation:
The way I no this is because I used division and got two for each box. 24 divided by 12 = 2 for every box
(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA
Answer:
Hi,
LHS = sinA-cosA+1/sinA+cosA-1
divide both numerator and denominator by cosA
LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)
Now
sec2A=1+tan2Asec2A=1+tan2A
sec2A−tan2A=1sec2A−tan2A=1
Using above relation at denominator of LHS
LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)
LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))
LHS=1/(secA−tanA)LHS=1/(secA−tanA)
LHS=RHSLHS=RHS
Hence Proved.
I think above proof will clear your doubt,
All the best.
For the following exercises, determine whether the relation is a function
a) {(5.2),(6,1),(6,2),(4,8)}