Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
Abcd is a rectangle.
What is the slope of the line on the graph below 1/5 1/3 3 or 5
Answer:
1/3
Step-by-step explanation:
We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight line passing through the points (a, b) and (c, d) is given by
m=\dfrac{d-b}{c-a}.m=
c−a
d−b
.
Therefore, the slope of the given line is
\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}
m=
6−3
−3−(−4)
⇒m=
3
−3+4
⇒m=
3
1
.
Thus, the required slope of the line is \dfrac{1}{3}.
3
1
.
Option (B) is CORRECT.
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
ASAP help plz❤️❤️❤️Urgent
Answer:
Answer to the first part is 2.5 hours.
Step-by-step explanation:
T = 150/60
= 2.5 hours
Best Regards!
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
Edmund makes a cube using eight small cubes. Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?
Answer:
Step-by-step explanation:
The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m
Each side of the cube made is 2m
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are
Length = 2 × 2 = 4m
Width = 3 × 2 = 6m
Height = 4 × 2 = 8m
Volume = length × width × height
Volume = 4 × 6 × 8 = 192 m³
Number of small cubes used is 192/1 {= 192
The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
Help me.............Please, i am not good at maths, brainliest will be given, THANK YOU!!!!!
Answer:
2.5 cm
Step-by-step explanation:
The volume of the prism is the area of the cross-section times the length.
The area of the cross-section is the area of a triangle.
4h×1/2×7 = 35
Multiply and solve for h.
14h = 35
Divide both sides with 14.
h = 35/14
h = 5/2
h = 2.5
2.5cm
and here welcome friend card
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
Alhondro wants to determine the average shoe size of all of male students in his school
(25 POINTS) Write the inequality of the following graph?
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
can i get help for this please
Answer:
65 units^2Step-by-step explanation:
[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]
Answer:
60
Step-by-step explanation:
Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.
(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.
A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate x's
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
its c man its c
Step-by-step explanation:
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
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given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
D
Step-by-step explanation:
I took the test, dont listen to the person above me:)
Answer:
y<x+1
Step-by-step explanation:
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
quick plz....When √98- √128 is simplified it is equal to:
A,15√2
B, -√30
C. -√2
D. 10√3
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{98} -\sqrt{128}[/tex]
[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]
[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]
[tex]7\sqrt{2}-8\sqrt{2}[/tex]
[tex]=-\sqrt{2}[/tex]
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
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A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
0.24731182795 to 1 Decimal Place
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Mark the first decimal place
Examine the second decimal place and if it is lower than five we round down and vice versa
Need help people pls
Find the vertex of the graphed function. f(x) = |x − 4| + 3 The vertex is at (, ).
Answer:
(4, 3)
Step-by-step explanation:
Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.