Answer:
[tex]\text{64 must be added to the expression }x^2 + 16x\text{ to make it a perfect-square trinomial}[/tex]
Step-by-step explanation:
Given the expression
[tex]x^2+16x[/tex]
we have to tell which value must be added to the above expression to make it a perfect-square trinomial.
Expression: [tex]x^2+16x[/tex]
By completing the square method,
The square of half of the coefficient of x must be added , we get
[tex]x^2+16x+64[/tex]
[tex]x^2+8x+8x+64[/tex]
[tex]x(x+8)+8(x+8)[/tex]
[tex](x+8)^2[/tex]
which is a perfect square.
[tex]\text{Hence, 64 must be added to the expression }x^2 + 16x\text{ to make it a perfect-square trinomial}[/tex]
Jamie unfolded a cardboard box. The figure of the unfolded box is shown below: Which expression can be used to calculate the area of cardboard, in square inches, that was used to make the box? 6 x 4 x 4 4 x 6 x 6 6 x 2 x 2 2 x 6 x 6
there are 6 sections and the sections are 4 x 4
so the correct expression can be 6x4x4
Answer:
6 x 4 x 4
Step-by-step explanation:
IN order to calculate the total area or the cardboard you just have to make a simple multiplication, the carboard is divided in equal sized squares, 6 equal sizd squares, and each one of them has a 4 inches side, so to calculate the area of the cardboard you just calculate the area of one square and then multiply it by the number of squares.
Area of one square= 4x4
Number of squares=6
Total area of the carboard= 6x4x4
The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between the top of his head and the top of his head in the shadow is feet.
Answer:
The answer is 10 ft.
Step-by-step explanation:
make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.
hope this helps!!
At the school carnival, Jade has a games booth with a spinner. The banner at her booth reads "40% chance of winning!" What is the chance that a player may not win?
A.20%
B.30%
C.50%
D.60%
Answer:
60%
Step-by-step explanation:
Since the entire percentage is 100 than 40 plus 60 is a hundred
The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. an actual conveyor belt can vary from the ideal by 7/32 in. find the acceptable widths for this conveyor belt. CHECK ALL THAT APPLY
a) x>=49 24/32
b)x<=50 7/32
c)49 25/32<=x<=50 7/32
d)x+7/32<=50
e)absolute value of x-50 <=7/32
The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acres does she own
Answer:
4800 acres.
Step-by-step explanation:
We have been given an equation [tex]a=640s[/tex], which gives the relationship between s square miles and acres.
To find the number of acres Pam owns we will substitute [tex]s=7.5[/tex] in our given equation.
[tex]a=640\times 7.5[/tex]
[tex]a=4800[/tex]
Therefore, Pam owns 4800 acres.
Which algebraic expression represents “the difference of fifty-four and seven times a number”?
Answer:
The difference of fifty-four and seven times a number is written as 54 - 7x.
Step-by-step explanation:
Given: expression “the difference of fifty-four and seven times a number”
We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”
Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”
Let the number be x
Then, seven times a number is 7x
And the difference of fifty-four and seven times a number is written as 54 - 7x.
Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.
Answer:
a
Step-by-step explanation:
Consider the equations below.
y = 200 + 350x
y = 3x
When x = 7, which equation has the greater value?
When x=7 , the first equation y = 200 + 350x has the greater value.
To determine which equation has the greater value when x=7, we need to evaluate both equations at x=7 and compare the resulting y values.
For the first equation [tex]\( y = 200 + 350x \):[/tex]
[tex]\[ y = 200 + 350 \times 7 \]\[ y = 200 + 2450 \]\[ y = 2650 \][/tex]
For the second equation y=3x
[tex]\[ y = 3 \times 7 \]\[ y = 21 \][/tex]
Comparing the values, we see that y=2650 for the first equation and y=21 for the second equation.
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likehood of the event occurring?
Likely
Certain
Unlikely
Impossible
NEED HELP
Answer:
Likely is the answer
Step-by-step explanation:
If you know the probability line you will know how to get the answer
Can someone please help me with these problems. Thank you
Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his target by 10%, he would need 1 more mark to reach his actual score. If he increased his target by 15%, this target would exceed his actual test marks by 3. What is his actual test score.
20 POINTS! WRONG ANSWERS WILL BE REPORTED!
Isaiah sketches a model of a skateboard ramp. The model has two surfaces on which to skate, represented by sides AB and AD in the diagram.
The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD?
A) 2 square root 2
B) 2 square root 3
C) 4 square root 2
D) 4 square root 3
Answer:
(C)
Step-by-step explanation:
It is given that The steepest side of the model, AB, measures 4 inches, thus
From ΔABC, using the trigonometry, we have
[tex]\frac{AC}{AB}=sin45^{\circ}[/tex]
Substituting the given value, we have
⇒[tex]\frac{AC}{4}=sin45^{\circ}[/tex]
⇒[tex]AC=4{\times}\frac{1}{\sqrt{2}}[/tex]
⇒[tex]AC=2\sqrt{2}[/tex]
Now, from ΔACD, we have
[tex]\frac{AC}{AD}=sin30^{\circ}[/tex]
⇒[tex]\frac{2\sqrt{2}}{AD}=\frac{1}{2}[/tex]
⇒[tex]AD=4\sqrt{2}[/tex]
Therefore, the length of AD will be [tex]4\sqrt{2}[/tex]
thus, option C is correct.
A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour how many tablespoons of milk must the chef add
A Girl Scout camp served half of their granola with breakfast. After dinner they put the remaining 6250 g of granola on top of their yogurt dessert.
How many kilograms of granola did the Girl Scout camp start with ?
1 kilogram = 1000 grams
Ten minutes after a plane leavesthe airport, it is reported to be 40 miles
away. What is the avarage speed in miles per hour of the plane?
1. What shape is the graph?
2. What direction does the graph open?
3. Where is the graph increasing/decreasing?
4. What are the intercepts?
5. Are there any special points?
6. Is there a line of symmetry?
1. Triangular, 2. Upwards, 3. (- ∞, 3),(3, ∞), 4. (-1, 0) and (-3, 0), and (0, 1),
5. (-3, -1), 6. symmetry is along the x-axis.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A modulus function | x + 2 | - 1.
The shape of the graph is triangular.
The graph opens in the upwards direction positive y-axis.
The graph is decreasing at the interval (- ∞, 3) and it is increasing at an interval (3, ∞).
The x-intercepts of the graph is (-1, 0) and (-3, 0), and The y-intercepts of the graph is (0, 1).
The special point of the graph is (-3, -1) where the graph is increasing from decreasing.
Yes, the line of symmetry is along the x-axis.
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What other information do you need to prove ΔABE is congruent to ΔEDA by SSS?
A) A= C
B) ΔEAC is isosceles triangle with base EC
C) E= C
D) EAC is equilateral triangle
Answer:
D) EAC is equilateral triangle
Step-by-step explanation:
Given :
AEC is a triangle in which B∈ AC and D∈EC
Such that,
∠ABE = 90°,
∠ADE = 90°,
Also, BC = CD
We have to prove that :
Δ ABE is congruent to Δ EDA
Proof :
If EAC is an equilateral triangle,
By the property of equilateral triangle,
EA = AC = EC
If AC = EC
⇒ AB + BC = ED + CD
⇒ AB + CD = ED + CD
⇒ AB = ED
Also, AE = AE ( common segment )
Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,
Then, the other legs must be equal,
That is, BE = DA,
Hence, by SSS postulate of congruence,
Δ ABE ≅ Δ EDA
Therefore, option D is correct.
"Rewrite the following expression using properties of exponent"
Find the area of a parellelogram with base 162..7m. And height of 48.1
Which property is illustrated below?
1 + 7 = 7 + 1
identity property of addition
commutative property of addition
associative property of addition
distributive property
help me solve this equation 3x-7=4x
What is the height of an airplane as it descends to an airport runway
Final answer:
The height of an airplane during its descent to an airport runway is influenced by factors like approach angle, stall speed, and descent rate.
Explanation:
The height of an airplane as it descends to an airport runway is determined by various factors such as approach angle, stall speed, and glide slope.
During descent, the pilot manages corrections for side-winds, updrafts, and downdrafts to aim for a specific touchdown point on the runway.
Typically, the descent rate of an aircraft during landing is about 500 feet per minute, translating to approximately 8 mph.
An arc with a length of 12 cm lies on a circle with a diameter of 9cm
What is the length of the arc in radians?
A. About 1.3 radians
B. About 1.9 radians
C. About 2.2 radians
D. About 2.7 radians
HELP NEEDED!!
Calculate the side lengths a and b to two decimal places.
A. a = 16.23 and b = 17.99
B. a = 16.23 and b = 18.83
C. a = 17.99 and b = 16.23
D. a = 4.81 and b = 5.33
E. a = 5.33 and b = 4.81
Will thank rate five stars and give brainlist anser to first person to answer!
Answer:
A. a = 16.23 and b = 17.99
Step-by-step explanation:
The addition of the three angles of the triangle is equal to 180°. So,
C + 64° + 85° = 180°
C = 180° - 64° - 85°
C = 31°
The law of sine states:
sin(A)/a = sin(B)/b = sin(C)/c
where c is the side opposite to angle C
Taking angles A and C, and sides a and c, we get
sin(A)/a = sin(C)/c
sin(64°)/a = sin(31°)/9.3
sin(64°)*9.3/sin(31°) = a
a = 16.23
Taking angles B and C, and sides b and c, we get
sin(B)/b = sin(C)/c
sin(85°)/b = sin(31°)/9.3
sin(85°)*9.3/sin(31°) = b
b = 17.99
How to simplify 10P6/10P4
[tex] nPk=\dfrac{n!}{(n-k)!}\\\\
\dfrac{ 10P6}{10P4}=\dfrac{\dfrac{10!}{4!}}{\dfrac{10!}{6!}}=\dfrac{10!}{4!}\cdot\dfrac{6!}{10!}=5\cdot6=30 [/tex]
Add.
(8x-2)+(3x+10)
(Simplify answer)
What value of x makes the denominator of the function equal zero?y=(7)/(5x-25)A.0.2 B.–0.2 C.5 D.–5
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
A.)The test contains 4 three-point questions and 20 five-point questions.
B.)The test contains 10 three-point questions and 14 five-point questions.
C.)The test contains 14 three-point questions and 10 five-point questions.
D.)The test contains 20 three-point questions and 8 five-point questions.
look at the following numbers -7 , 0 , 7 , 14 which pair of numbers has a sum of 0
Answer:-7, 7.
Step-by-step explanation:
-7+7= 0
Simple as that :) Plz mark brainliest
Find the value of the expression (4x−12)+(12xy−10)(4x-12)+(12xy-10) for x=4 and y=6
Answer:
398 ( did it on college bridge)
Step-by-step explanation:
The required value of the expression is 412 which is determined by substituting for x = 4 and y = 6.
What is the algebraic expression?Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.
The expression is given in the question as:
(4x−12)+(12xy−10)(4x-12)+(12xy-10)
To find the value of the expression for a given value of x and y, we can substitute the values of x and y into the expression and evaluate it.
(4x−12)+(12xy−10)(4x-12)+(12xy-10)
Substituting x=4 and y=6 into the expression, we get:
(4(4)−12)+(12(4)(6)−10)(4(4)−12)+(12(4)(6)−10)
This simplifies to:
(16−12)+(12(24)−10)(16−12)+(12(24)−10)
This further simplifies to:
4+(12(24)−10)(4)+(12(24)−10)
4+(12(24)−10)(4)+(12(24)−10)
4+288+120 = 412
Therefore, the value of the expression for x = 4 and y = 6 is 412.
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