Answer:
Answer would be 15.
Step-by-step explanation:
We have to complete the expression given as
[tex]z^{2}+9z-90=(z-6)(z+?))[/tex]
We will try to factorize the expression given in the left side.
[tex]z^{2}+9z-90=z^{2}+15z-6z-90[/tex]
= z(z+15)-6(z-15)
=[tex](z-6)(z-15)[/tex]
Now we will compare this factorized form with the right side of the expression.
(z-6) (z-15) (= (z-6) (z+?)
We find question mark is 15.
Therefore, the answer is 15.
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how do you write standard number 0.00073 in scientific notation?
A flock of Canadian geese migrated 1623 miles in 28 days. What was the average rate at which these geese traveled in miles per day?
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
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=362(x+7)=36.
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!
Please help! Find the value of C such that each expression is a perfect-square trinomial.
p^2-30p+c
k^2-5k+c
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Answer:
Step-by-step explanation:
B) -5
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.
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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5.7n + 4.1 = 2.96
What is n Im thinking -32
How much of the circle is shaded? Write your answer as a fraction in simplest form.
solve |x + 7| = 12
a. {-19, -5}
b. {-5,19}
c. {-19,5}
d.{5,19}
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.
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:
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.
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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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.
What is the value of x in the following equation:6x+2x=24 ?
A.2
B.3
C.9
D.7
A(n) _____ is a segment that is formed by the intersection of two faces
Answer:
The answer is Edge. A segment that is formed by the intersection of two faces is called an EDGE.
Step-by-step explanation:
A segment that is formed by the intersection of two faces is called an EDGE.
An edge is defined as a type of line segment, that joins two vertices in a polygon, polyhedron etc. In a polytope, an edge is a line segment between faces.
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?
six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the probability that exactly one girl and two boys will recite awards? express your answer as a percent
The probability that exactly one girl and two boys will receive awards is 75%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that there are:-
6 girls
4 boys
Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3
1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%
17% + 25% + 33% = 75%
Therefore the probability that exactly one girl and two boys will receive awards is 75%.
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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.
how do you write (negative Infinity, 8)or (10, Infinity) as inequality?
Translate the following statement into an inequality: Five less than a number is at least nine.
The given statement translates to the inequality x - 5 ≥ 9.
To do this, we first need to interpret ‘a number’ as a variable, which we can call x. ‘Five less than a number’ means we subtract five from our variable, expressed as x - 5. ‘At least nine’ indicates that the value should be greater than or equal to nine, which in inequality form is ( ≥ 9 ). Therefore, the complete inequality that represents the given statement is x - 5 ≥ 9.
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
Round 37.82 to the nearest tenths place.
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
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
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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