Answer:
83 ft^2
Step-by-step explanation:
6*2.5 (bottom)= 15
4*2.5*2 (one set of sides)= 20
4*6*2 (another set of sides)= 48
Add, 83 ft^2
Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.
The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
What are the coordinates of vertex for a quadratic function?For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:
[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:
[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex] is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
The missing steps of work of Jan'ai are:
Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) = -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.[tex]y = 5x^2-20x-25[/tex]
[tex]y = 5(-2)^2-20(-2)-25[/tex]
[tex]y = 35[/tex]
so (-2,35) is the coordinate of the vertex, which denotes the minimum.
So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],
Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25
The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2
But Jan'ai didn't putted that negative sign before b. in the 6th step.
Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
Learn more about the vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Answer:
The answer is D on edge
Step-by-step explanation:
26. An electronic game store is offering a 20% discount on all items in the store.
If the original price of a game is $55, how much will it cost after the discount?
Answer:
11$
Step-by-step explanation:
20% is equivalent to 0.20, so if we multiply that by 55, it will take off 20% of the price, giving us 11$.
0.20 × 55 = 11
Brainliest please?
Answer: ✨$75✨
Step-by-step explanation: ✨Well I added them I hope this helps✨
The triangles are similar.
What is the value of x?
Answer: The answer is 13, read on to find out
Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.
The lowest common factor is 4 because all the numbers can be divided by the number 4.
20 divided by 4 is 5 which is already shown on the graph
48 divided by 4 is 12
All we have to do now is 52 divided by 4
13Hope I helped you answer the question! Have a great day/afternoon!
Find the area of the figure
A: 14 cm2
B: 50 cm2
C: 60 cm2
D: 64 cm2
Answer:
64 cm^2
Step-by-step explanation:
Split the figure into two parts (top and bottom rectangle)
TR : 2 x (12-5)*
2 x 7 = 14
*= Since there are a few ways to split it up but I chose to make the top one shorter so you have to subtract 5 from 12
BR : 10x5 = 50
Add together
14 + 50 =
64 cm^2
Hope this helps :)
What is the value of x?
Enter your answer in the box.
x =
Answer:
(3x+50)°=(6x-10)°
3x-6x= -10°-50°
-3x/-3 = -60/-3
x=20
solve for the exact values of x and y above
Answer:
x = 14.14 and y = 10
Step-by-step explanation:
Using trigonometric ratios;
10/x = cos 45
x = 10/(cos 45)
x = 14.14
y/10 = tan 45
y = 10 * tan 45
y = 10
A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
18.8 in.
31.6 in.
44.0 in.
100.0 in.
i know the answer but I need someone to explain to me how to do this, I do a^2+b^2 +c^ and i keep getting 26
Answer:
The answer is 100 in
Step-by-step explanation:
The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.
18^2 + 26^ 2 = c^2
324 + 676 = c^2
1000=c^2
Square root of 1000 = c
100.0=c
Hope this helps!
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Using Definition of Logarithm
7 ^(4x−6) = 1/49
Use the rules of exponents and logarithms to solve the equation.
7 ^(4x−6) = 1/49
Take the logarithm of both sides of the equation.
log(7^4x-6) = log(1/49)
The logarithm of a number raised to a power is the power times the logarithm of the number.
(4x-6)log(7) = log(1/49)
Divide both sides by log(7).
4x-6 = log(1/49)/log(7)
By the change-of-base formula log(a)/log(b) = log(small b under) (a).
4x-6 = log(small 7 under) (1/49)
Add 6 to both sides of the equation.
4x=−2−(−6)
Divide both sides by 4.
x = 4/4 which is the same as x = 1
Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?
Answer:
9:35 am
Step-by-step explanation:
7:40 am
+ 40 minutes
7:80
:60 = + 1
:80 - :60 = +:20
8:20
1 hour and 15 minutes =
+ 1 hour =
9:20
+ 15 minutes
9:35 am
Whats the answer ? I need help as soon as possible!
Answer:
the answer is
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
1. 91/5 + 112/5 + 201/5
2. denominators are the same
3. 404/5
.
How many degrees are in a circle?
180°
300°
90°
360°
Answer:
360
Step-by-step explanation:
each part of circle are divided into 360
Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)
Answer:
5x²+3x+4
Step-by-step explanation:
(2x²+x+3)+(3x²+2x+1)
add 2x² and 3x² since they're like terms
5x²+x+3+2x+1
add 2x and x = 3x
5x²+3x+3+1
add 3 and 1 = 4
5x²+3x+4
A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).
All answers are listed below:
For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.How to determine the dilated area of a parallelogram
The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:
A = k² · b · h (1)
Where k is the scale factor.
And we can derive a scale factor by comparing two areas:
[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex] (2)
Where [tex]A_{o}[/tex] is the original area, in square feet.
If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:
For A = 0 ft², the scale factor is 0.
For A = 40 ft², the scale factor is 2.
For A = 160 ft², the scale factor is 4.
For A = 360 ft², the scale factor is 6.
For A = 640 ft², the scale factor is 8.
To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172
dilated area in square feet (x) scale factor (y)
0 0
40 2
160 4
340 6
640 8
please answer these for me! Right answers only. Thanks
Answer:
For all of these triangles apply the formula;
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.
1.
Base = 9.1
Height = 31.2
Plug into formula:
A = BH x 1/2
A = 9.1(31.2) x 1/2
A = 283.92 x 1/2
A = 283.92/2
A = 141.96 square centimetres.
2.
Base = 5
Height = 3 3/4 which can be considered 3.75
Plug into formula:
A = BH x 1/2
A = 5(3.75) x 1/2
A = 18.75 x 1/2
A = 18.75/2
A = 9.375 square kilometres.
3.
Base = 2.4
Height = 3.2
Plug into formula:
A = BH x 1/2
A = 2.4(3.2) x 1/2
A = 7.68 x 1/2
A = 7.68/2
A = 3.84 square inches.
4.
Base = 11
Height = 60
Plug into formula:
A = BH x 1/2
A = 11(60) x 1/2
A = 660 x 1/2
A = 660/2
A = 330 square millimetres.
5.
Base = 10
Height = 13 1/2 which can be considered 13.5
Plug into formula:
A = BH x 1/2
A = 10(13.5) x 1/2
A = 135 x 1/2
A = 135/2
A = 67.5 square feet.
Answer:
1. 141.96 cm²
2. 9⅜ km²
3. 3.84 in
4. 10.39mm
5. 66.67 ft
Step-by-step explanation:
Formula of Area of Triangle : ½ × base × height
1. = ½ × 9.1 × 31.2
= 9.1 × 15.6
= 141.96 cm²
2. = ½ × 3¾ × 5
= ½ × 15/4 × 5
= 15/8 × 5
= 75/8 = 9⅜ km²
3. = ½ × 3.2 × 2.4
= 3.84 in
4. = tan c = AB/BC
c = tan -¹ (AB/BC)
c = tan -¹ (60/11)
c = 79.61
A = 90 - 79.61 = 10.39mm
5. = ½ × 13⅓ × 10ft
= 66.666 ≈ 66.67 ft
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?
A. reflection
B. rotation
C. dilation
D. translation
Answer:
C. dialtion
Step-by-step explanation:
A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.
A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.
A rotation would simply rotate/turn the shape. The dimensions would not be changed.
A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.
Therefore, we can conclude that option C makes the most sense.
hope this helps!
jacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?
Answer:
the area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4
Step-by-step explanation:
Solve the following inequality.
-6 < 2x + 8 = 16
[?] < x =
< x <
Step-by-step explanation:
[tex] - 6 < 2x+8< 16[/tex]
-6<2x+8<16
on subtracting 8 from both sides
-14<2x<8
on dividing 2 on both sides
-7<x<4
-7<x<4
I hope it helped you
NEED HELP ASAP
The equation 3c = 4s gives the relationship between c, the weight of clay, and s, the weight of sand in a mixture. There are 6.25 pounds of clay in the mixture. What is the weight of the sand?
A. 4.69 pounds
B. 8.88 pounds
C. 18.75 pounds
D. 75.00 pounds
The weight of sand in the mixture when the weight of the clay in the mixture is 6.25 pounds is 4.69 pounds.
The equation can be represented as follows:
3c = 4s
How to find the variable in an equation?3c = 4s
where
c = weight of the clay in the mixtures = weight of sand in the mixtureHence,
3c = 4s
4s = 3c
let's make s the subject of the formula, since, we want to find s when c = 6.25 pounds
s = 3 / 4 c
s = 3 / 4 × 6.25
s = 18.75 / 4
s = 4.6875
s = 4.69 pounds
learn more on equation here: https://brainly.com/question/23669986
What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons
Answer:
18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40
A swimming pool measures 10 feet by 8 feet by 5 feet. What is the volume of the swimming pool
Answer:
400 ft^3
Step-by-step explanation:
To find volume you simply do length x width x height
So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.
Hope this helps!
Classify angles below as acute,obtuse,right,straight or reflex.
Answer:
Top is straight
Middle is reflex
Bottom is acute
Step-by-step explanation:
Straight is self explanatory
Reflex angles are greater than 180 and less than 360 degrees
Acute angles are under 90 degrees
Answer:
the very top one is straight.
8. reflex (because over 180 degrees)
9. acute (under 90 degrees)
how do i find angle measurements
Answer:
if youre doing this on paper use a protractor
Step-by-step explanation:
place the straight line ontop of the side you're trying to read the angle from and go in a clockwise direction when using the compass until you find the angle degree. hope that helps:-)
-10 - | 5 -12 | + 3 + | 5 + 12 | =
Answer:
3
Step-by-step explanation:
the absolute value function always returns a positive value , that is
| - a | = | a | = a
given
- 10 - | 5 - 12 | + 3 + | 5 + 12 |
= - 10 - | - 7 | + 3 + | 17 |
= - 10 - 7 + 3 + 17
= 3
What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth
radius r = 2 in
height h = 3 in
slant height s = 3.60555128 in
volume V = 12.5663706 in3
lateral surface area L = 22.6543468 in2
base surface area B = 12.5663706 in2
total surface area A = 35.2207174 in2
In Terms of Pi π
volume V = 4 π in3
lateral surface area L = 7.21110255 π in2
base surface area B = 4 π in2
total surface area A = 11.2111026 π in2
A suit is on sale for $414 , which is 28% less than the regular price.
What is the regular price?
Answer:
.72x=414
Step-by-step explanation:
I NEED THIS RIGHT NOW
Answer:
E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
the reason is, for a direct relation between x and z we have too little information.
z could be huge, much, much bigger than y and x, or just bigger by 1 than y.
so, assume e.g. the following 2 scenarios
z = 6
y = 5
x = 4
and
z = 600
y = 26
x = 3
A
x + y > z
is true for the first scenario, but not for the second. so, it is not always true.
B
z - x < z - y
no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.
C
xz > yz
no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.
D
z/x < z/y
no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.
E
yz > xy
in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.
KLMN ~ PQRS. Find the given side length or angle measure.
let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
Assuming that you are listing the length of each side of the figure, we can add the values together. The perimeter is 16 cm.
Step-by-step explanation:
6+2+2+6=16 cm
If the slope of a line is 2 and the y-intercept is 7, what would the equation be in slope intercept form?
Question 11 options:
y = 7x + 2
y = -2x -7
y = 2x -7
y= 2x + 7
Answer:
y = 2x+7
Step-by-step explanation:
y = mx + c
m = slope
c is the y intercept
so
y = 2x+ 7
A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The expression that represents the perimeter of the given triangle in centimeters is; 14n + 10p + 14q
What is the perimeter of the triangle?We are given the side lengths of the triangle as;
5n + p; 9n + 8q; 6q + 9p
Now, the formula for perimeter of a triangle is;
Perimeter = a + b + c
where a, b and c are side lengths of the triangle. Thus;
Perimeter = 5n + p + 9n + 8q + 6q + 9p
Perimeter = 14n + 10p + 14q
In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.
Read more about Triangle Perimeter at; https://brainly.com/question/24382052
