solve |x + 7| = 12
a. {-19, -5}
b. {-5,19}
c. {-19,5}
d.{5,19}
The sum of two consecutive even integers is 234. What is the larger integer?
A. 114
B. 116
C. 118
D. 124
Answer: 118. I took the test
Step-by-step explanation:
Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.
Which product is the factored form of the polynomial?
(–x2 – 5)(3x2 + 2)
(x2 – 2)(3x2 + 5)
(x2 + 5)(3x2 – 2)
(3x2 – 5)(x2 + 2)
Answer:
[tex](x^{2} + 5)(3x^{2} - 2)[/tex]
Step-by-step explanation:
The polynomial is first correctly stated as follows
[tex]3x^{4} - 2x^{2} + 15x^{2} - 10[/tex]
This is rearranged, grouped and solved as follows:
[tex]3x^{4} + 15x^{2} - 2x^{2} - 10[/tex]
[tex](3x^{4} + 15x^{2}) - (2x^{2} + 10)[/tex]
[tex]3x^{2} (x^{2} + 5) - 2(x^{2} + 5)[/tex]
Factorizing the common factors [tex](x^{2} + 5)[/tex], we have the product of the factored form of the polynomial as follows:
[tex](x^{2} + 5)(3x^{2} - 2)[/tex]
That is the third option in the question if rewritten in the correct form.
Please help! Find the value of C such that each expression is a perfect-square trinomial.
p^2-30p+c
k^2-5k+c
Sam Monte deposits $21,500 into Legal Bank which pays 6 percent interest that is compounded semiannually. What will Sam have in his account at the end of 6 years?
its A=P(1+/n)^nt
how do you write (negative Infinity, 8)or (10, Infinity) as inequality?
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Answer:
Step-by-step explanation:
B) -5
How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?
We can cut a total of 4 sections of 1.4 meters through 6-meter long rope.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Length of rope = 6 meter
Length of section = 1.4 meter
Number of sections = Length of rope ÷ Length of section
Number of sections = 6/1.4 = 4.28 since 0.28 part is not complete section so we will not consider it.
Hence "We can cut a total of 4 sections of 1.4 meters through 6-meter long rope".
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The graph shows how the distance an object traveled changed over time.
Between which two points was the object traveling at the greatest speed?
A.
between points C and D because that slope is the steepest
B.
between points A and B because that segment is the longest
C.
between points B and C because that segment is horizontal
D.
between points A and B because that slope is the steepest
The two points which shows the object traveling at the greatest speed is D. between points A and B because that slope is the steepest
How does this section show the greatest speed ?
The segment between points A and B has the steepest slope, indicating a rapid change in distance over a short period, which implies a higher speed.
This makes sense given the concept of the physics of motion, where a steeper slope on a distance-time graph represents a higher velocity or speed.
Between points C and D has the second greatest speed because it shows that as time went, distance was covered unlike between points B and C.
Round 37.82 to the nearest tenths place.
Given that segments RS and RT are tangent to circle Q, find the length of RS.
As they both are tangents of the same circle, their lengths must be equal.
RS = RT
x/4 = x-6.3
x = 4x - 25.2
4x-x = 25.2
3x = 25.2
x = 8.4
As, RS = x/4, it will be equal to 8.4/4 = 2.1
SO, YOUR FINAL ANSWER IS RS = 2.1
To find the length of segment RS, we can use the tangent-radius theorem and the Pythagorean theorem. Segment RS is perpendicular to the radius of circle Q that passes through point S. By using the Pythagorean theorem, we can solve for the length of RS.
Explanation:The length of segment RS can be found using the tangent-radius theorem. According to this theorem, if a line is tangent to a circle at a certain point, then the line is perpendicular to the radius that passes through that point. Therefore, segment RS is perpendicular to the radius of circle Q that passes through point S.
Since RS is perpendicular to the radius, RS and the radius form a right triangle. The length of RS can be found using the Pythagorean theorem. Let's denote the length of the radius as r and the length of RS as x. The radius is the hypotenuse of the right triangle, so we have:
x^2 + RS^2 = r^2
Since RS is the only unknown, we can solve for it. Once we have the value of the radius, we can substitute it into the equation to find the length of RS.
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An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.
What is the area of this face ?
Answer: The area of the face is 15 sq. in.
Step-by-step explanation: We are given to find the area of the yellow-coloured face in the figure.
The area of the coloured face is equal to the area of one face of a cube of side 4 in MINUS the area of one face of a cube of side 1 inch.
The area of one face of a cube of side 4 in is given by
[tex]A=\textup{area of a square of side length 4 in.}=4\times 4=16\textup{ sq. in.}[/tex]
and the area one face of a cube of side 1 in is given by
[tex]a=\textup{area of a square of side length 1 in.}=1\times 1=1\textup{ sq. in.}[/tex]
Therefore, the area of the coloured face will be
[tex]Area=A-a=16-1=15\textup{ sq. in.}[/tex]
Thus, the area of the face is 15 sq. in.
The area of the face which is indicated in the figure is 15 in².
Use the concept of quadrilateral defined as:
Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
For big cube:
length of sides = 4 in
Area of one face = 4x4 in²
Area of one face = 16 in²
For small cube:
length of sides = 1 in
Area of one face = 1x1 in²
Area of one face = 1 in²
Since we can see that
The area of one face of a small cube coincides with the face of the big cube.
Therefore,
We have to remove the area of one face of the small cube from the big cube,
So, the area of the face indicated in the figure is,
(16 - 1) in² = 15 in²
Hence,
The area of the required face is 15 in²
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how do you write standard number 0.00073 in scientific notation?
The period of f(x)=cos (2pi/3)x is ...?
a square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4x. what is the area of the square
What is the value of x in the following equation:6x+2x=24 ?
A.2
B.3
C.9
D.7
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=362(x+7)=36.
Use the law of cosines to find the value of cos. (see pic attached inside!!) Round the answer to two decimal places!
A. 0.84
B. 0.35
C. 0.23
D. 1.23
need help answer is not 3.14
The circumference, or perimeter, of a circle can be found by multiplying its diameter by 3.14. What is the circumference of a circle that has a diameter of inch?
Express your answer as a decimal.plz
The circumference of the circle with a diameter of inch is 3.14 inch.
Explanation:The circumference of a circle can be found by multiplying its diameter by π (pi). In this case, the diameter of the circle is given as inch. To find the circumference, we need to multiply the diameter by π.
Circumference = Diameter × π
Since the diameter is inch, the circumference of the circle is ( inch) × π = inch × π = 3.14 inch.
Answer correctly for brainliest and also get a thanks ! Don't answer if you don't know it please !
When a diagonal is drawn in a rectangle, what is true of the areas of the two triangles into which it divides the rectangle?
They are called?
Answer:
They would be Equal
Step-by-step explanation:
if we split a rectangle into two triangles it would be the same triangle just flipped!
Earl pours 1/3 of a bottle of juice into his glass. Roberto pours 1/3 of the remainder into his glass. What fraction of the bottle of juice is left?
If f(x) = 3x + 10 and g(x) = 2x – 4, find (f + g)(x).
A. (f + g)(x) = 3x – 2x + 14
B. (f + g)(x) = 3x + 2x + 6
C. (f + g)(x) = 5x + 6
D. (f + g)(x) = –3x – 2x – 14
Answer:
f(x)= 3x + 10 and g(x)= 2x - 4
(f+g)(x)= 3x + 10 + 2x - 4
3x + 2x + 6
5x + 6
b and c
Answer:
C. (f + g)(x) = 5x + 6.
Step-by-step explanation:
test approved
Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.
What are some positive integer and a negative integer?
Answer:
Positive Integers Negative Integers
Are to the Right of zero Are to the left of zero
Are valued greater than Zero Are valued less than zero
Express Ideas of up , a gain or Express Ideas of down or a
a profit loss
The "+" is not always needed The "-" is always needed
Step-by-step explanation:
Hope it Helps
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Use the three steps to solve the problem.
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?
Answer:
It will take 2.5 hours
Step-by-step explanation:
Calculate the length of the circumference of a circle with diameter 6.2cm use pi = 3
The circumference of the circle with diameter 6.2 cm, using (pi) equal to 3, is calculated as 18.6 cm using the formula C = (pi)d.
The question asks to calculate the length of the circumference of a circle with a diameter of 6.2 cm, using an approximate value for (pi) as 3. To find the circumference of a circle, the formula C = (pi)d is used, where C is the circumference and d is the diameter. Since we are provided with the diameter (6.2 cm) and an approximate value for
(pi) as 3, the calculation is straightforward.
Using the formula,
C = (pi)dC = 3 * 6.2 cmC = 18.6 cmThus, the circumference of the circle is 18.6 cm.
Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
commutative for addition
22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30Answer:
commutative - addition
associative - addition
Step-by-step explanation: