Answer:
[tex]base=\frac{4x+16}{height}[/tex] which is the required expression.
Step-by-step explanation:
We have been given the area of parallelogram which is (4x+16)
And the formula for area of parallelogram is [tex]base\cdot height[/tex]
Hence, when we substitute the value if area of parallelogram in the formula we get:
[tex]4x+16=base\cdot height[/tex]
Now, rearranging the terms so, as to get the expression for the base or value of base in terms of height and area we get:
[tex]base=\frac{4x+16}{height}[/tex] which is the required expression.
Find the next two terms in the sequence. 0, 1, 4, 9, ...
A. 13, 17
B. 13, 18
C. 16, 25
D 16, 23
Answer:
16, 25
Step-by-step explanation:
the next two terms in the sequence. 0, 1, 4, 9, ...
Lets find the difference between the two terms
1-0 = 1
4-1=3
9-4= 5
the terms are increasing by odd numbers
0, 1, 4, 9, ...
\/ \/ \/
+1 +3 +5
The next term will increase by +7
9+7= 16
Next term is 16
Next term will increase by 9
16 + 9 = 25
so , next two terms are 16 and 25
Write an equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2)
Equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2) is y + 10 = -(x - 3).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given it has points (3,-10) and (-5,-2) and we know slope(m)
= (y₂ - y₁)/(x₂ - x₁).
= (-2 + 10)/(-5 - 3).
= 8/-8.
= -1.
Equation of a line in point-slope form is (y - y₁) = m(x - x₁).
y - (-10) = -1(x - 3).
y + 10 = -(x - 3).
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( variable son both sides of an equation)
SHOW ALL WORK AND MAKE SURE IT MAKES SENSE
I WILL GIVE BRAINLIEST WITH BEST ANSWER THAT INCLUDES ALL OF THE ABOVE
Solve: 7b-20=3b+12
What is the value of x?
Enter your answer in the box.
X=
how many lead cubes of side 3cm could be made from a lead of side 27cm
Item 19 You pay $40 each month for satellite TV, plus $3.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $57.50.
What does x equal and what does why equal?
1.
x^2 + 6.4^2 = 8^2
x^2 = 40.96 = 64
x^2 = 64 -40.96
x^2 = 23.04
x = sqrt(23.04) = 4.8
2. y=
y^2 + 3^2 = 5^2
y^2 +9 = 25
y^2 = 25-9
y^2 = 16
y = sqrt(16) = 4
Answer:
x^2 + 6.4^2 = 8^2
x^2 = 40.96 = 64
x^2 = 64 -40.96
x^2 = 23.04
x = sqrt(23.04) = 4.8
y=
y^2 + 3^2 = 5^2
y^2 +9 = 25
y^2 = 25-9
y^2 = 16
y = sqrt(16) = 4
If cats prowl, mice will scatter. Mice are scattering
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.
a segment has endpoints (a,b) and (c,d). The segment is translated so that its image is 6 units up and 3 units left of the preimage. Are the two segments parallel, perpendicular, or neither?
The translation of the image can be describe as
x – 3
y + 6
Since the transformation that is made is purely translation, therefore this means that the original image and the new image will never intersect and hence:
Parallel
If the two are extended we can actually see that they will never meet.
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 2+i, 2
Final answer:
To find a polynomial with given zeros 2+i and 2, include the conjugate 2-i to ensure rational coefficients, resulting in the polynomial x^2 - 4x + 3.
Explanation:
Finding a Polynomial with Given Zeros
To find a polynomial function of the lowest degree with rational coefficients that has 2+i and 2 as some of its zeros, you should remember that complex zeros in polynomials with real coefficients come in conjugate pairs. This means that if 2+i is a zero, so is its conjugate 2-i. You now have three zeros: 2, 2+i, and 2-i.
The polynomial with these zeros can be written as (x-2)(x-(2+i))(x-(2-i)). To find the polynomial, we simply multiply these factors:
(x-2)(x-2+i)(x-2)(x-2) - i(x-2)Now add the resulting quadratics:
(x-2)2 - i2This results in:
x2 - 4x + 4 - 1Which simplifies to x2 - 4x + 3. Thus, the required polynomial function of the lowest degree is x2 - 4x + 3.
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
The perimeter of a rectangle is 102 cm. if the length is 28 cm, how wide is the rectangle?
Aaron bought 132 inches or wire he cut the wire into 9 pieces that were the same lenght what is the length of each piece or wire
The length of each piece of wire is about 14.7 inches.
What is division?Division is the process of dividing a number by a given number.
Given that, the length of the wire is 132 inches.
Now, the wire is cut into 9 equal pieces, therefore, the length of each piece is:
132/9
= 14.7 inches
Hence, the length of each piece of wire is about 14.7 inches.
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Identify the 7th term of the geometric sequence in which a2 = 324 and a4 = 36
Answer:
4/3
Step-by-step explanation:
a2 = 324 and a4 = 36
second term is 324 and fourth term is 36
[tex]a_n= a_1(r)^{n-1}[/tex]
To get second term, replace n with 2
[tex]a_2= a_1(r)^{2-1}[/tex]
[tex]a_2= a_1(r)[/tex]
replace a2 with 324
[tex]324= a_1(r)[/tex] -----------> equation 1
To get fourth term , replace n with 4
[tex]a_4= a_1(r)^{4-1}[/tex]
[tex]a_4= a_1(r)^3[/tex]
Replace the value
[tex]36= a_1(r)[/tex] -----------> equation 2
divide second equation by first equation
[tex]36= a_1(r)^3[/tex] divide by [tex]324= a_1(r)[/tex]
1/9 = r^2
take square root on both sides
1/3= r
now we find a1
[tex]324= a_1(r)[/tex]
[tex]324= a_1(\frac{1}{3})[/tex]
multiply by 3 on both sides
972= a_1
So a1= 972, r= 1/3
now find out 7 term by replacing 'n' with 7
[tex]a_7= 972(\frac{1}{3})^{7-1}[/tex]
So 7th term is 4/3
Will the solution to the following equation be positive or negative? b ÷ -2 = 5
positive
negative
The diagram shows a trapezium ABCD in which BC parallel to AD
Answer:
if its the diagram i think then:
f = 6cm
g = 8cm
Step-by-step explanation:
square = 48cm²
triangle = 12cm²
24 / 4 = 6
AD = 6cm
So
BC = 6cm
CD = 48 / 6 = 8cm
CD = 8cm
f = 6cm
g = 8cm
In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid. Therefore, the length of BC is 6cm and the length of CD is 8cm.
What is trapezium?In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid both Canadian and American English, and perhaps a trapezium in British as well as other forms of English. In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.
The bases of a trapezoid are the parallel sides. If the remaining two sides are parallel, they are referred to as the legs; if not, the trapezoid is indeed a parallelogram, with 2 sets of bases. A trapezoid without equal-sized sides is called a scalene trapezoid.
area of square = 48cm²
area of triangle = 12cm²
24 / 4 = 6
AD = 6cm
BC = 6cm
CD = 48 / 6 = 8cm
CD = 8cm
f = 6cm
g = 8cm
Therefore, the length of BC is 6cm and the length of CD is 8cm.
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Your question is incomplete but most probably your full question was,
The diagram shows a trapezium ABCD in which BC parallel to AD. What is the length of BC and CD.
Jada typically earns 1545 each month of which 47.20 is spent on eletricity. What percent of jadas earnings are spent on eletricity each month
Adam draws three parallelograms. He measures the sides of each figure, as shown.
What is a reasonable conjecture for Adam to make by recognizing a pattern and using inductive reasoning?
In a parallelogram, all sides are congruent.
In a parallelogram, opposite sides bisect each other.
In a parallelogram, opposite sides are congruent.
In a parallelogram, all sides bisect each other.
Answer:
In a parallelogram, opposite sides are congruent.
Step-by-step explanation:
Writing the lengths of the sides of the parallelograms shows him a pattern for the side lengths of opposite sides. Doing this will show him that opposite sides are congruent.
to make 12 muffins, Mr. J's recipe requires 3/4 of a cup of sugar. If Mr. J wants to make 96 muffins, how much sugar will he need?
A line segment is different from a line in that a segment has
The position of a particle on the x-axis at time t, t > 0, is s(t) = e^t with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 0 ≤ t ≤ In3?
3
2/ln3
3/ln3
3/2
Also please just tell me which on it is
Can someone tell me what these angles are
what is the limit as x is approaching 0 of the absolute value of x
The restriction of the outright worth of x as x methodologies 0 will be 0. Outright worth guarantees that the result is non-negative, and as x methodologies zero from one or the other side, the outcome stays at 0.
Explanation:The inquiry you're posing relates to the furthest reaches of the outright worth capability as the variable x methodologies are the worth of nothing. In science, explicitly in math, we assess cutoff points to comprehend the way of behaving of capabilities as they approach a specific point.
To track down the breaking point as x methodologies 0 of the outright worth of x, signified as lim x→0 |x|, we want to think about the meaning of outright worth. The outright worth of a number is the non-negative worth of that number regardless of its sign. In this manner, as x methodologies 0 from either the positive or negative side, the outright worth of x will likewise move toward 0.
Consequently, the cutoff is 0, since as x gets increasingly close to nothing, so does the outright worth of x.
How do you multiply mixed negative number fractions?
solve for y 3x - 5y = 8
Final answer:
To solve for y in the equation 3x - 5y = 8, we subtract 3x from both sides and then divide by -5, resulting in y = (3/5)x - 8/5.
Explanation:
Solving for y in the equation 3x - 5y = 8
To solve for y in the equation 3x - 5y = 8, we need to isolate y on one side of the equation. Here are the steps:
Start with the original equation: 3x - 5y = 8.
Subtract 3x from both sides of the equation to get -5y = -3x + 8.
Divide each term by -5 to solve for y: y = (3/5)x - 8/5.
So the solution for y in terms of x is y = (3/5)x - 8/5.
What is the degree of the polynomial function shown in the graph?
1
2
3
4
The correct answer is
4
:)
What two consecutive odd integers have a sum of 48?
Plot the line for the equation on the graph.
y−4=−14(x−5)
Answer: I just did the test and the correct answer was (9,3) 9 on the x axis and 3 on the y and (4,9) 4 on the x axis and 9 on the y
Step-by-step explanation:
Find the constant of variation and the slope of the direct variation model
y=2x