Answer:
-44
Step-by-step explanation:
Using distribute property of multiplication
=> [tex]7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}[/tex]
([tex]7\sqrt{5}[/tex] will be cancelled with each other)
=> 5 - 49
=> -44
Read the following statement: x + 6 = 6 + x. This statement demonstrates:
Answer:
See below.
Step-by-step explanation:
This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.
Answer:
Commutative Property of addition
Step-by-step explanation:
This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.
This is only applicable to addition and multiplication.
Hope this helps
y =1/3 x – 4 3y – x = –7
Answer:
There are no solutions.
Step-by-step explanation:
3y - x = - 7
Put y as 1/3x - 4.
3(1/3x - 4) - x = - 7
1x - 12 - x = -7
0 - 12 = -7
-12 = -7
No solutions.
When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help
Answer:
a = - 8
Step-by-step explanation:
A polynomial divided by factor (x - h) has a remainder given by f(h)
Here the divisor is (x - 2), thus f(2) gives the remainder, that is
2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder
8 + 8 - 14 + a = 4, that is
12 + a = 4 ( subtract 12 from both sides )
a = - 8
Which angles form a linear pair?
Answer:
b. is correct
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4x + 16 less than or equal to 18
Answer:
x≤1/2
Step-by-step explanation:
4x+16 ≤18
Subtract 16 from each side
4x+16-16 ≤18-16
4x≤2
Divide by 4
4x/4 ≤2/4
x≤1/2
MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
Given the diagram below, what statement can you NOT make?
A) m∠2 + m∠3 = 90
B) ∠5=∠3
C) ∠2=∠5
D) m∠4=90
Answer:
B
Step-by-step explanation:
∠ 2 + ∠ 3 = 90° ← True
∠ 5 = ∠ 3 ← False
∠ 2 = ∠ 5 ← True ( vertical angles )
∠ 4 = 90° ← True
Thus the statement that you cannot make is ∠ 5 = ∠ 3 → B
what are the exact values of a and b?
The exact value of a and b is 5 and 5√3 respectively. Thus option D) is correct
From triangle ABC
We have AB = 10 ; And angle A = 30°
Trigonometry is the branch of mathematics that deal with study of triangles.
Now,
cos30= AC/AB
√3/2=b/10
b=5√3
Sin30 = BC/AB
1/2 = a/10
a = 5
Thus, the required value is a = 5, b = 5√3
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Answer:
its the last option
Step-by-step explanation:
What is domain of f.
Answer:
A domain is part of a function f if f is defined as a triple.
Step-by-step explanation:
A domain is part of a function f if f is defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. A domain is not part of a function f if f is defined as just a graph.
I hope this helps. I am sorry if you get this wrong.
find the area of the triangle that has a base of 5 inches in a height of 3 3/4 inches
Answer: 75/8= 9 3/8
Step-by-step explanation: Area = 1/2 X b X h
1/2 X 5 X 15/4 =
75/8=9 3/8
If f(x) = 2x, then f -1(x) =
0-2x
O 12x
OX-2
Answer:
What am I supposed to do
Step-by-step explanation:
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B' is at A.(5, 1) (-4, 8) B.(-2, 11) (-7, -1)
Answer:
(-4,8)
Step-by-step explanation:
(-1, 2) => (x, y)
is translated 6 units up => 2+6 = 8
3 units left => -1-3 = -4
the coordinates of A′ => (-4, 8)
would appreciate brainliest!
A cup of hot coffee will, over time, cool down to room temperature. The principle of physics governing the process is Newton's Law of Cooling. The temperature (in degrees Fahrenheit) of a cup of coffee can be modeled by the following equation: f(t)=80+120e^(-0.08t) Here the time t is measured in minutes after the coffee was poured into the cup. A. Explain, using the structure of the expression 80+120e^(-0.08t), why the coffee temperature decreases as time elapses (8 points). B. What is the temperature of the coffee at the beginning of the experiment (7 points)? C. Drinking coffee at 175 degrees can possibly burn your tongue. After waiting for 2 minutes, Leo became impatient and decided to drink the coffee. Will he be alright (7 points)? D. The ideal temperature to drink coffee is between 120 to 140 degrees, as many of the more subtle flavors of coffee are revealed. When is the best time for Leo to drink coffee (8 points)?
Answer:
A. Because the coefficient of time is negative .
The value of t decreases as time passes .
The temperature of the coffee decreases as time passes and the coffee will evemtually cool down to room temperature
B. At the beginning , t=0
Hence Temperature will be 80 + 120 = 200º
c. He wont be alright . High temperature , less time to cool down . So he wont be alright . Coffee might still be hot .
D. Assuming the temp is 130º
80 + 120ᵅ⁻⁰·⁰⁰⁸ˣ = 130
120ᵅ⁻⁰·⁰⁰⁸ˣ =130-80
120ᵅ⁻⁰·⁰⁰⁸ˣ =50
a-0.008x =(50/120)
0.008x = ln(0.416)
x = 10.962 =11mins
so he has to wait 11 mins to drink.
Step-by-step explanation:
f(t)=80+120e^(-0.08t)
-----------------------
A) Temperature decreases over time as the coefficient of time is negative (-0.08)B. t=0 ⇒ f(0)= 80 + 120*1 = 200 degC. t=2 ⇒ f(2)= 80+120*e^(-0.08*2) ≈ 182 degCoffee is still hot. He won't be alright. He needs to wait more
D. f(x)= 12080+120e^(-0.08x)= 120120e^(-0.08x)=40e^(-0.08x)=1/3-0.08x= ln(1/3)-0.08x= -1.0986x= -1.0986/-0.08x ≈ 14 minbest time is ≈ 14 min
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
Megan is checking her tax bill for the last year. the tax rates were as follows: no tax on the £11000 of earning earnings in excess of £11000 and up to £43000 tasted at a rate of 20% earnings in excess of £43000 and up to 150000 taxed at a rate of 40% earnings over £150000 taxed at 45% last year meghan earned £158900 before tax how much tax did she pay in total?
Answer:
£53,205
Step-by-step explanation:
Megan paid ...
0 on the first £11,000
.20 of the next £43,000 -11,000 = £6400
.40 of the next £150,000 -43,000 = £42,800
.45 of the next £158,900 -150,000 = £4,005
So, her total tax bill is ...
£6,400 +42,800 +4,0005 = £53,205
Megan paid a total of £53,205 in tax.
I will give you brainliest!!! Solve the system of equations by graphing both equations with a pencil and paper y=x-3 y=-x+1
Answer:
A. (2,-1) i thought this is hard but its kind of easy actually
Step-by-step explanation:
so you just put the given options into the xs and ys.. so lets say we have (2,-1) 2=x -1=y
now put them into the equations.. y=x-3
-1=2-3( if this is true than this is the right answer)
y= -x +1
-1= -2 +1 (this is also correct)
write down the mathematical name of this shape
Answer:
parallelogram
Step-by-step explanation:
Its a parallelogram.
Answer
parallelogram
Step-by-step explanation:
Solve for the missing side of the triangle. 9.03 11.98 18.78 24.92
Answer:
11.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 53 = x/15
15 sin 53 = x
11.97953265 = x
I NEED HELP PLEASE, THANKS! :)
Answer:
Graph A
Step-by-step explanation:
You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!
Answer: A (the first graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's
A = (x, y) → A⁻¹ = (y, x)
I took three points from the graph (labeled A, B, C) and found their inverse.
A = (-7, 0) → A⁻¹ = (0, -7)
B = (0, 7) → B⁻¹ = (7, 0)
C = (9, 9) → C⁻¹ = (9, 9)
see graph below
Plz answer this question and I will mark you as brainliest
Answer: 3/8
Step-by-step explanation:
When you subtract fractions, you want them to have a common denominator.
[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]
This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.
[tex]\frac{9}{24} =\frac{3}{8}[/tex]
Please help me find the answer to this sequence? :)
Answer:
2....6......10........14.......18
Step-by-step explanation:
Add 4 each time
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
An expression for y in terms of x is :
y = 16x/65
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²Consider, the image attached:
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Thus,
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE =
[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)
On substituting the given values:
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
In terms of y:
16x = 65y
y = 16x/65
Therefore, an expression for y in terms of x: y = 16x/65
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When solving, you took the square root of both
sides of the equation. Consider this step when
completing the following statements.
The roots are imaginary because of the
1) negative radicand.
2) non perfect square radicand
3) need to identify + and - roots of the radicand
Answer:
Step-by-step explanation:
Negative Radicand
The roots of the equation are imaginary because of negative radicand.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
According to the given question.
We have to take square root both sides of the equation.
Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.
Hence, the roots of the equation are imaginary because of negative radicand.
Thus, option 1 is correct.
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anybody please help me :( I don’t know the answer ??
elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
Answer: (4,2)
Step-by-step explanation:
You can solve this systems of equation by substitution, graphing, and elimination
Solving by Elimination was found to be the easiest for me.
3x+2y=16
2x-2y=4
eliminate 2y because a positive and a negative will equal zero.
3x+2x=5x, 16+4=20
5x=20, divide 5 on both sides
x=4
Now we solve for y
You can plug in 4 for x in either equations
I did the first equation
3(4) +2y=16
3*4=12
12+2y=16
-12 -12
2y=4
divide 2 on both sides
y=2
Answer is (4,2)
Mark brainlist please
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
Work out m and c for the line: y = 8 x
Answer:
m = 8 and c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x ← is in slope- intercept form, that is y = 8x + 0
with m = 8 and c = 0
This recipe makes 5 portions of fajitas. Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 50 g of spice mix and 16 tortillas. How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe:
Serves 5
400 g
chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
?g chicken
? g peppers
? g onion
? g spice mix tortillas
Answer:
Chicken = 500 g
Peppers = 1 kg
Onions = 10 g
Spice mix = 10 g
Tortillas = 14
Step-by-step explanation:
5 × 3 = 15
What the recipe indicates she needs
400 × 3 = 1200
600 × 3 = 1800
70 × 3 = 210
20 × 3 = 60
10 × 3 = 30
Subtract what she needs from what she has
1200 - 700 = 500 g
1800 - 800 = 1000 g
210 - 200 = 10 g
60 - 50 = 10 g
30 - 16 = 14 tortillas
Answer:
qhdlqywylvly
Step-by-step explanation:hqiufqwbuif
HELP ME ASAP! PLS!!!!
Which triangle’s unknown side length measures StartRoot 53 EndRoot units?
(A)A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.
(B)A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.
(C)A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.
(D)A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.
Answer:
(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10
Step-by-step explanation:
I just took the quiz on edge
Answer:
B
Step-by-step explanation:
help me lol abcdefghijklmnopqrstuvwxyz
Answer:
30 cans
Step-by-step explanation:
We can use ratios
15 cans x cans
---------------- = ------------------
7*2 people days 4*7 people days
Using cross products
15 * 28 = 14 * x
Divide by 14
15 * 28/14 = x
30 =x
What is the length of segment GH?
Answer:
4√5
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Coordinates given:
H(8, 1)
G(0, -3)
d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5
Answer:
StartRoot 80 EndRoot
80 square root is the answer
Step-by-step explanation:
|GH|² = (8 - 0)² + (1 - (-3))²
|GH|² = 64 + 16
|GH|² = 80
GH = sqrt(80)
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Can I have help plz ASAP
Answer:
A: 4
B: -2
Step-by-step explanation:
calculate dy/dx:
A: 1 to the right and 4 up: gradient is 4/1 = 4
B: 2 to the right and 4 down: gradient is 4/-2 = -2