Answer:
X= -5
Step-by-step explanation:
Replace the g(x) with 16.
16= -3x +1
Move -3x on other side.
3x+16=1
Subtract one from both sides.
3x= -15
Divide both sides by 3 to get x by itself.
x= -5
PLEASE HELP WILL MARK BRAINLIEST
How would the rotational speed of the anemometer be different during a strong windstorm than in a wind that is not as strong?
Answer: the rotational speed would be greater during a storm
Step-by-step explanation:
Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).
PLEASE HELP
CDEF is a kite and mFCE =39. Find m1
A.102
B.39
C.78
Answer: 39
Step-by-step explanation:
Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.
Then:
m1 = 39
The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie
Answer:
100.48
Step-by-step explanation:
Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 = 100.48.
Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long. If the hook is 5 meters from the flagpole, how tall is the flagpole?
Answer:
12 meters
Step-by-step explanation:
Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.
From Pythagoras theorem;
c^2 = a^2 + b^2
a^2= c^2 - b^2
a= √c^2-b^2
From the question
c= 13 metres
b= 5 metres
a= the unknown
a= √c^2-b^2
a= √(13)^2 - (5)^2
a= √169 - 25
a= √144
a= 12 meters
Answer:
The flagpole 12 meters tall
Step-by-step explanation:
Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long
∵ The hook is 5 meters from the flag pole
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
hypothenus side is 13m
base is 5m
how tall is the flagpole is x
[tex]13^2=x^2+5^2\\\\169=x^2+25\\\\x^2=169-25\\\\x^2=144\\\\x=12m[/tex]
The flagpole 12 meters tall
A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm
Answer:
OX = 5.4772 cm
Step-by-step explanation:
Please check image attached for the drawing of the circle with the chords and points.
From the theorem of intersecting chords, we have:
AE * EB = EF * EG
With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:
(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)
(3 - EX) * (2 + EX) = 36 - EO^2
6 + EX - EX^2 = 36 - EO^2
EO^2 - EX^2 + EX = 30 (eq1)
From the triangle AEO, we have:
AE^2 + EO^2 = OA^2
(AX - EX)^2 + EO^2 = 6^2
(3 - EX)^2 + EO^2 = 36
9 - 6*EX + EX^2 + EO^2 = 36
EX^2 - 6*EX + EO^2 = 27 (eq2)
If we do (eq1) - (eq2), we have:
-2*EX^2 + 7*EX = 3
2*EX^2 - 7*EX + 3 = 0
Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm
EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm
Calculating EO, we have:
EO^2 - 0.5^2 + 0.5 = 30
EO^2 = 29.75
EO = 5.4544 cm
Now, using Pythagoras in the triangle EOX, we have:
EO^2 + EX^2 = OX^2
29.75 + 0.25 = OX^2
OX^2 = 30
OX = 5.4772 cm
What the answer to this
Answer:
(2 x + 5) (x - 1) (x + 7) thus the answer is D.)
Step-by-step explanation:
Factor the following:
2 x^3 + 17 x^2 + 16 x - 35
The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:
Answer: (2 x + 5) (x - 1) (x + 7)
For what value of x must ABCD be a parallelogram?
Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answer:
[tex]-\frac{16}{17}\\-0.94117[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]
1/6book
2/3hour
as a unit rate.
Answer:
4 hours per book
Step-by-step explanation:
The unit rate per book can be found when the number of books read is 1.
To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.
2/3*6=4 hours per book
Hope this helps!
c 21/
D 101
2
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost
for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.
There was no sales tax on this purchase. Which equation could be used to find x?
Find the volume of the prism.
A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? The length of each leg is____ inches.
Answer: The length of each leg is 10 inches.
Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.
If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.
The area of a triangle is given as
Area of triangle = 1/2 (b*h)
Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.
Hence, the area can be re-written as follows;
Area of a triangle = 1/2 (b*h)
50 = 1/2 (b*h)
By cross multiplication, you now have
50 *2 = b*h
100 = b*h
Having already determined that b equals h,
100 = h²
Alternatively
100 = b²
Therefore, adding the square root sign to both sides of the equation, you now have
√100 = √h²
10 = h
Therefore, the length of each leg, both base and height is 10 inches
When multiplying two negative integers, what is the sign of the product?
positive
negative
zero
one
Mark this and return
Save and Exit
y Next
Sul
Answer:
positive
Step-by-step explanation:
negative and negative = positive
positive and positive = positive
positive and negative = negative
negative and positive = negative
hope u got what u needed
Answer:
The correct answer is positive
Step-by-step explanation:
Negitive x Negitive = Positive
Positive x Positive = Positive
Negitive x Postive = Negitive
Positive x Negitive = Negitive
This should help you for next time you have a question like this.
I hope this helps.
Which value of x makes 7+5(x-3)=22 a true statement?
Choose 1 answer:
A
x=4
B
x=5
C
x=6
D
x=7
Answer:
C
X=6
Step-by-step explanation:
7+5x-15=22
5x-8=22
5x=22+8
5x=30
X=30/5
X=6
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.
Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
please can you guy help for this questiong
please
Answer:
Step-by-step explanation:
From the figure attached,
Given: ∠P ≅ ∠S
TQ ≅ RQ
To Prove : ΔQRS ≅ ΔQTP
Statements Reasons
1). ∠P ≅ ∠S, TQ ≅ RQ Given
2). ∠RQS ≅ ∠TQP Reflexive property
3). ΔQRS ≅ ΔQTP AAS
Please help me with my question:))
Answer:
D
Step-by-step explanation:
Two lines are perpendicular when the product of their slopes = - 1
line 1: y = 3x + 4
(3 , 0) ; (-3,2)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]
Slope of line 1 = 3
Slope of line 2 = -1/3
3* -1/3 = -1
Answer:
im sorry but you just need a chill pill
Step-by-step explanation:
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Find the equation of a line which passes through (2,3)and is perpendicular to y-3x+1=0.give your answer in the form y=mx+c
Answer:
3x - 1 = 0
Step-by-step explanation:
3x + 1 = 0
The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.
So the answer is 3x - 1 = 0
What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
the answer is just 1.
Answer:
n=2.5
Step-by-step explanation:
(2n + 4) + 6 = -9 + 4(2n + 1)2n+10=-9+8n+42n+10=8n-58n-2n= 10+56n=15n=15/6n=2.5Answer:
The answer is 1.
Step-by-step explanation:
answer quickly plzzz
Answer:
Your answer of [tex]-\frac{39}{8y}[/tex] is correct
Step-by-step explanation:
We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]
First, we need to find a common denominator, which in this case would be 8y.
To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]
[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]
Now we can add them to get our final answer.
[tex]-\frac{39}{8y}[/tex]
If X || Y and Y || Z, then ____
Answer:
If X || Y and Y || Z, then X_|| Z___
Step-by-step explanation:
This is transitive property
f(n) = 4(n-1) + 7
fine the first three(3) terms in the sequence show all work
Answer:
f(n) = 4(n-1) + 7
First term
f(1) = 4(1-1) +7 = 0 + 7 = 7
Second term
f(2) = 4(2-1) + 7
= 4(1) + 7 = 4 + 7 =11
Third term
f(3) = 4(3-1) + 7
= 4(2) + 7
= 8 + 7 = 15
Therefore the first three terms of the sequence are 7, 11 and 15.
Hope this helps
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Pergunta correta:
Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Resposta: A) 54
Explicação passo a passo:
17x + 51y = 102 - - - - equação 1
Divulgue até 17
x + 3y = 6 - - - - - - - Equação 2
9x + 27y - - - - - - - equação 3
Comparando as equações 2 e 3
(Equação 3) = 9 × (equação 2)
Isso é, 9x + 27y = 9 × (x + 3y = 6)
9x + 27y = 9x + 27y = 54
Portanto ; 9x + 27y = 54
Using the order of operations, what is the last calculation that should be done to evaluate 4(8 − 6)52 − 6 ÷ (−3)?
4(8 − 6)52 − 6 ÷ (−3)
4(2)52 − 6 ÷ (−3)
4(2)(25) − 6 ÷ (−3)
200 − 6 ÷ (−3)
200 − (−2)
Answer & Step-by-step explanation:
4(8 - 6)52 - 6 ÷ (-3)
First, subtract 6 from 8
4(2)52 - 6 ÷ (-3)
4(2)(52) - 6 ÷ (-3)
Multiply 2 by 52
416 - 6 ÷ (-3)
Divide -6 by -3.
416 + 2
Add 2 to 416
418
So, your evaluated answer would be 418.
Answer:
its 200+2
So addition is the last calculation to be done.
Step-by-step explanation:
PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM
THXXSSSS AND HURRY PLS
Answer:
108m^2
Step-by-step explanation:
surface area of any shape: sum of the area of its sides.
area of cross section x 2 = 4 x 3 12 m^2
area of slope: 5m x 8m = 40m^2
area of base: 8 X 3 = 24 m^2
area of back: 8m x 4m = 32m^2
sum = surface area = 108m^2
Please mark brainiest
(20 POINTS AND BRAINLIEST)
The Timothy Edwards Matinee Program has a one time fee of $25 to join the bowling club. It then costs $6 each time the club goes bowling.
a) Write an equation in slope-intercept form for the cost y of joining the club and going on x bowling trips.
b) Sarah wants to join and go bowling 10 times. How much will she pay?
c) Tyler wants to join the club and go bowling 7 times. How much will he have to pay?
Answer:
a) The equation is y = 6x + 25 since the 25 is the initial fee.
b) We plug in 10 for x. 6 * 10 + 25 = $85.
c) We plug in 7 for x and get 6 * 7 + 25 = $69.
Answer:
see below
Step-by-step explanation:
a) y = 6x + 25 (because the 25 is the initial fee)
b) x = 10, so:
= 6 * 10 + 25
= $85
c) x = 7, so:
= 6 * 7 + 25
= $69
Hope this helps!
Please helpppppp, I’m tryna passss :(
Answer:
y = x + 1
Step-by-step explanation:
I've already explained the process to you, but:
Slope intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1.
y = x + b (you don't have to write 1x)
The line intersects the y-axis at 1
y = x + 1
Please let me know if you don't understand
Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
d
Step-by-step explanation:
Answer:
I think it's D
Step-by-step explanation:
Sorry if im wrong.
