Answer:
x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Step-by-step explanation:
Answer:
g(x) = |x – 1| + 3
Step-by-step explanation:
Definitely right!
Two fire-lookout stations are 100 miles apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is Upper N 55 degrees Upper EN55°E and the bearing of the fire from station B is Upper S 60 degrees E.S60°E. How far, to the nearest tenth of a mile, is the fire from each lookout station?
Answer:
The distance from station A to the fire is 90.4 miles
The distance from station B to the fire is 95.6 miles
Step-by-step explanation:
Given that 2 fire stations are 100 miles apart.
Station A = N 55°E
Station B = S 60°E
To find the distance of the fire from each station, let's use the law of sines,
From the diagram, our values are:
A = 55°
B = 60°
Let's take C as point of fire.
Since the total sum of angle in a triangle is 180,
A+B+C=180
C = 180 - A - B
C = 180 - 55 - 60 = 65°
For station A.
[tex] \frac{Sin A}{a} = \frac{Sin C}{c} [/tex]
[tex]\frac{Sin55}{a} = \frac{Sin65}{100}[/tex]
[tex]a = \frac{Sin55 * 100}{Sin65}[/tex]
[tex]a = 90.38[/tex]
The distance from station A to the fire is 90.4 miles
For station B:
[tex] \frac{Sin B}{b} = \frac{Sin C}{c} [/tex]
[tex]\frac{Sin60}{b} = \frac{Sin65}{100}[/tex]
Solving for b, we have:
[tex]a = \frac{Sin60 * 100}{Sin65}[/tex]
[tex]a = 95.6[/tex]
The distance from station B to the fire is 95.6 miles
this net consists of a square and 4 identical triangles. what is the surface area of the solid this net can form?
Answer:
The answer is 224.
I got it right on the quiz.
what is 40/32 in its simplest form
Answer:
1 and 1/4
Step-by-step explanation:
40/32 divided by 8 = 5/4
5 divided by 4 = 1 R1
5/4 = 1 1/4
Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures feet by 6 feet.
How much cardboard does he need to paint?
If one bottle of paint covers an a area of 40 square feet, how many bottles of paint does Andre need for his backdrop
Answer:
a. 85.5 sq ft
b. 3 bottles
Step-by-step explanation:
a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.
The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:
A = 14 1/4 * 6
A = 57 / 4 * 6 = 85.5 sq feet
He needs to paint 85.5 sq feet of the cardboard.
b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:
85.5 / 40 = 2.14
Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.
To paint the entire cardboard, he must have 3 bottles of paint.
Answer:
75 feet
Step-by-step explanation:
Help me ASAP‼️! A walkway surrounds a rectangular garden. The width of the garden is 9 feet, and the length is 12 feet. The width of the walkway around the garden is the same on every side . Write an expression that represents the total area of the garden and walkway.
_____ q^2+____q+_____
Answer:
total area of the garden and walkway = 2a² + 21a + 54
Step-by-step explanation:
The walkway surrounds the rectangular garden. The width of the garden is 9 ft and the length is 12 ft. Since the width of the walkway around the garden is the same on every side let us use a to represent the width around the garden.
The garden is rectangular and the width of the walkway around the garden is uniform. The width added on both end of the width of the rectangle will be 2a while the width added to the both length of the rectangle will be 2a also.
Therefore
total area of the garden and walkway = length × width
length of garden and the walkway = 2a + 12
width of garden and the walkway = 2a + 9
total area of the garden and walkway = (2a + 12)(2a + 9)
total area of the garden and walkway = 4a² + 18a + 24a + 108
total area of the garden and walkway = 4a² + 42a + 108
divide through by 2
total area of the garden and walkway = 2a² + 21a + 54
1 1/2 x 2/1 4 need help ASAP
Answer:
27/8 or 3 and 3/8
Step-by-step explanation:
PLS HELP Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
Answer:
Step-by-step explanation:
when is a event likely, not likely, unlikely in probolility
i need help
Answer:
umm is there something else we need to see
How many solutions does the following equation have?
-6(2 + 7) = -4.0 – 2
Choose 1 answer:
No solutions
Exactly one solution
Infinitely many solutions
Answer:
-2.0, hope it helps
please make me brainliest
Step-by-step explanation:
-12 - 42 = - 6
-54 = - 6
-54 + 6 = - 48
I think 1 solution
PLZ HELP
On a coordinate plane, triangle J K L has points (0, negative 1), (negative 2, 1), and (3, 3).
Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
Answer:
K'(2, 1 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
K(- 2, 1 ) → K'(2, 1 )
A - Trust me, its A
The people above are wrong
In triangle ABC angle A=45 angle B =40 and a=7.Which equation should you solve to find b?
Answer:
Sin45 / 7 = sin40 / b
We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.
We have two angles and opposite sides to these angles.
We will use Law of Sines to solve our given problem.
[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where a, b and c are opposite sides corresponding to angles A, B, and C respectively.
The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.
Upon substituting these values in Law of Sines, we will get:
[tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex]
Therefore, our required equation would be [tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex].
Find the value of s.
s+ 14 = 26
Answer:
12
Step-by-step explanation:
1. Write out s+14=26
2. Subtract 14 by both sides to isolate s.
3. s = 12
Answer:
s = 12
Step-by-step explanation:
s + 14 = 26
- 14 - 14 Subtract 14 from both sides
s = 12
Plug this back into the equation to make sure it works
12 + 14 = 26 Add
26 = 26 This solution does work
Name a quadrilateral with exactly two pairs of congruent angles.
parallogram it has exactly 2 pairs of congruent angles
Answer:
Parallelogram.
Step-by-step explanation:
Of the following approximate conversions of Fahrenheit into Celsius, which is most accurate?
a. 14°F Almost-equals -10.8°C
b. 78°F Almost-equals 25.3°C
c. 106°F Almost-equals 41.7°C
d. 7°F Almost-equals -12.9°C
NVM it's B
Answer:
its B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Identiy the characteristics of the quadratic function and its graph.
Answer:
vertex is (3,-4)
axis of symmetry is x=3
the Domain is all real numbers
the Range is all real numbers greater than or equal to -4
when x < 3, y increases as x decreases
when x > 3, y increases as x increases
Please mark as brainliest if this helped!
(Please don’t skip!)9th grade math.| a circle on a coordinate plane has a diameter with endpoints at (8,10) and (-2,0). determine the coordinate point for the center of the circle.
Answer:
(3,5)
Step-by-step explanation:
Porque entre 10 e 0 e 8 e -2, existe um espaço 10, então para saber como coordenadas basta adicionar 5 a -2 e 0, e assim fica 3 e 5
Prove the triangles are congruent
Answer:
1: two sides and angle of one triangle are congruent.
Step-by-step explanation:
The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.
Hope this helps
The prism shown has a volume of 798 cm3.
a l of 9.5 and a width of 8
What is the height of the prism?
8.6 cm
10.5 cm
17.5 cm
45.6 cm
Answer:
10.5 cm
Step-by-step explanation:
Volume = base area × height
798 = (9.5 × 8) × height
height = 798/76
height = 10.5
Answer:
The answer is 10.5
Step-by-step explanation:
I got it correct on edge 2021
The measure of one acute angle in this right triangle is 30°. What is the measure of the
other acute angle?
300
OA) 30°
OB) 60°
OC) 70°
OD) 90°
Answer:
60°
..................
Answer:
Dear mate your answer is 60
Solve these equations. If possible, reduce your answers.
3/4x=−1 1/4
Answer:
-1 2/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?
Answer: A ) She only used the additive inverse of 10m when combining like terms .
Step-by-step explanation:
Holly only used the additive inverse of 10m when combining like terms. The equality is erroneous because the equation was evaluated well. The calculations should be as follows:
11m -13n + 6mn - 10m + 7n - 3mn = 1m - 6n +3mn
She should have subtracted 13n and 7n then take the negative value. Also, subtract 6mn and 3mn.
Answer:
A
Step-by-step explanation:
i took test
Evaluate the following expression using the given values: (1 point)
Find x - 3y if x = 3 and y = -2.
-9
-3
3
9
Answer: 9
Step-by-step explanation:
x-3y
(3)-3(-2)
3+6
9
It is D i took the test!
Question 16 (Essay Worth 7 points)
Verify the identity.
tan (x + π/2) = -cot x
Step-by-step explanation:
We know that tan=sin/cos, so tan(x+π/2)=
[tex]\frac{sin(x+pi/2)}{cos(x+pi/2)}[/tex]
Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),
so our equation is then
[tex]\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)} = \frac{cos(x)}{cos(x+\pi/2) }[/tex]
Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then
[tex]\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)[/tex]
Please solve ASAP!!!!!!!!!
Answer:
14. A
15. C
16. B
17. B
Step-by-step explanation:
Answer:
C; D; B; B
Step-by-step explanation:
14) 1/((1/4) + (1/7)) = 1/(11/28) = 28/11 (C)
15) 1/((1/x) + (1/3x)) = 3--> (1/x) + (1/3x) = 1/3 --> 4/3x = 1/3 --> x = 4 (D)
16) 56 - 28 = 28 --> 28/(4*2) = 3.5 hours --> 56/3.5 = 16mph (when adding the stream's speed)--> 16mph - 4mph = 12mph (B)
17) 540 - 480 = 60 --> 60/(9*2) = 10/3 hours --> 540/(10/3) = 162 (when adding the current) --> 162mph - 9mph = 153mph (B)
Which expression is equivalent to
5^10 x 5^5?
a.5^2
b.5^5
c.5^15
d.5^50
The expression into an equivalent form [tex]5^{10} \times 5^5[/tex] is [tex]5^{15}[/tex].
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need the expression into an equivalent form.
This expression could also be given by;
[tex]5^{10} \times 5^5[/tex]
Now plug the values then we get;
[tex]5^{10} \times 5^5\\\\= 5^{10+ 5} \\\\= 5^{15}[/tex]
Hence, the expression into an equivalent form [tex]5^{10} \times 5^5[/tex] would be; [tex]5^{15}[/tex]
Learn more about expression here;
brainly.com/question/14083225
#SPJ2
An orange has a volume of about 113.1 cm3. What is the area of the cross section when it is cut in half? Round to the nearest tenth.
Answer:
r = 1.0 cm to the nearest tenth
Step-by-step explanation:
The formula for the area of a circle of radius r is A = (pi)r². So, from the given information we need to determine the radius of the orange. The volume formula is V = (4/3)(pi)r³ and in this case V = 113.1cm³. Thuis,
(4/3)(pi)r³ = 113.1cm³
3 3(113.1 cm³)
Multiplying both sides by ------------ , we get r³ = --------------------- , and so
4(pi) 12.57
r³ = 339.3 cm³ / 12.57 ≈ 0.997, so that r ≈ ∛(0.997 cm³) ≈ 0.9999, or
r = 1.0 cm to the nearest tenth.
What is the solution to the inequality?
-2x - 4 ≤ 11
Thank you!
Answer:
x ≥ -15/2
Step-by-step explanation:
-2x - 4 ≤ 11
Add 4 to each side
-2x - 4+4 ≤ 11+4
-2x ≤ 15
Divide each side by -2, remembering to flip the inequality since we are dividing by a negative
-2x/-2 ≥ 15/-2
x ≥ -15/2
Answer:
x≤-7.5
Step-by-step explanation:
-2x - 4 ≤ 11
Add 4 to both sides
-2x≤15/-2
Divide
x≤-7.5
Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale.
am nevoie urgent de raspuns .
Answer:
One kilogram of oranges cost $3.Step-by-step explanation:
The problem states
1 kilogram of bananas costs as much as 2 kilograms of oranges. ([tex]1 \ kg \ bananas = 2 \ kg \ oranges[/tex])30 kilograms of oranges plues 45 kilograms of bananas cost $360.Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by
[tex]x=2y[/tex]
Also, we know by given
[tex]45x+30y=360[/tex]
Replacing the first equation into the second one, we have
[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]
Then, we find the other value
[tex]x=2(3)=6[/tex]
Therefore, one kilogram of oranges cost $3.
Find the average of 23 and −7.
Answer:
8
Step-by-step explanation:
23 + (-7) =16
16/2 = 8
Answer: 8
Step-by-step explanation:
23+(-7) = 16/2 = 8
Solve the system of equations using substitution.
y = 5x + 5 x = - 3
A.(- 20, - 3)
B.(- 10, - 3)
C.(- 3, - 10)
D.(- 3, - 20)
Answer:
C. (-3, -10)
Step-by-step explanation:
First label the 2 equations.
y=5x +5 -----(1)
x= -3 -----(2)
subst. (2) into (1):
y= 5(-3) +5
y= -15 +5 (expand)
y= -10 (simplify)
Thus, the answer is (-3, -10).
Answer:
THe answer is C
Step-by-step explanation:A
As seen by the last answer when we substitute the variable we can get (-3,-10)
x=-3------(2)
y=5x+5-----(1)
y=5(-3)+5
y=-15+5
y=-10
so (-3,-10) is the correct answer