The equivalent equation is x² + 20x = -102
Simplification of quadratic equationThe equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
collect similar terms together
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: https://brainly.com/question/1214333
Four climbers climb four different mountains , climber 1 climbed 1 14/ 25 miles, climber 2 climbed 1.55 miles, climber 3 climbed 33/20 miles , and climber 4 climbed 24/15. What is the range of the heights?
Step-by-step explanation:
✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️
The line passing through which two ordered pairs would be perpendicular to the equation y = 4x - 1?
(-4, 7) and (-1, -5)
(4, 2) and (8, 1)
(1, -3) and (2, 1)
(-8, -4) and (0, -2)
Answer:
i'm pretty sure it is (1,-3) and (2,1)
The distance around a triangle is 30 centimeters. if two sides are equal and the length of the third side is 8 centimeters, what is the length of each of the other two sides?
Answer: 11 cm
Step-by-step explanation:
What is the value of x?
3 equal angles
so the triangle is equilateral => 3 equal sides
4x-10 = 3x+2
x = 12
or
4x-10 = 5x-22
-x = -12
x = 12
or
5x - 22 = 3x + 2
2x = 24
x = 12
x = 12
Answer:
The value of x = 12
Step-by-step explanation:
This is an equilateral triangle and the sides of an equilateral triangle are equal .
By putting the two sides of the triangle equal , we can find out the value of x
=> 4x - 10 = 3x +2
=> 4x - 3x = 2 + 10
=> x = 12
how many cherries pies to 60 to 89 cherries 90 to 119 cherries?
Answer:
6
Step-by-step explanation:
i tried 7 and it didn't work
so i used a hint - it's 6!
6 pies are more in 60 to 89 cherries than 90 to 119 cherries, a bar graph is a graphical depiction of information, amounts, or numbers using bars or strips.
What is the bar graph?They are employed to contrast and compare various data kinds, frequencies, or other measurements of several categories of data.
here, we have,
The calculation of the bar graph in the given question.
For 60 - 89 cherries there are 10 pies
For 90 -119 cherries there are 4 pies
10 -4 = 6 pies
The image for the graph is attached below.
When displaying sections of data, bar charts should be used. As long as there aren't too many categories to compare, vertical bar charts can be useful for comparing several categories or discrete data, such as age groups, classes, schools, etc. They are quite helpful for time series data as well.
Therefore, there are 6 more pies in the 60 -89 cherries category than in the 90-119 category.
Learn more about bar graphs, here:
brainly.com/question/13028521
#SPJ3
help me pls pls pls pls pls pls pls
In the top row, first column the answer is D) Ray RQ and Ray RS. Opposite rays point in complete opposite directions. When joined, opposite rays form a line.
-----------
In the top row, second column, the answer is B) S, T, U. We're naming three points that all fall on the same line.
===============================================
In the bottom row, first column, the answer is A) Point. An example of this is the diagram in the bottom right corner. The lines WV and XZ intersect at the point Y.
-----------
Finally, in the bottom row, second column, the answer is D) Ray YW and Ray YV. Like with the first problem, we're listing two rays that when joined, form a straight line. They point in complete opposite directions. The order matters when it comes to naming a ray. The first letter tells us the endpoint and the second letter tells us where the ray points and goes on forever.
Solve the system by substitution.
{-2.5x+y=13.5
12.25x - y=-12.25
(-5.1)
(-1,5)
(1.-5)
(5.-1)
Answer:
(-5,1)
Step-by-step explanation:
y= 13.5+2.5x
-13.5 -13.5
-13.5= 2.5x
x= -5.4
15 equals 1/3 x x = please please help
Answer:
x = 45
Step-by-step explanation:
15 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
45 = x
Answer:
x = 45
Step-by-step explanation:
15 = x
15(3)=x
45=x or x=45
The sum of two numbers is 65 and the difference of those two numbers is -18
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half The common denominator is 8. Write each fraction using the common denominator: Three-eighths and One-eighth Compare the numerators: 3 > 1 Write the correct statement: Three-eighths > One-half Where did Colleen make her first mistake?
This question is Incomplete
Complete Question
Colleen compared the ratios 3:8 and 1/2.
Her work is shown below.
Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2
Where did Colleen make her first mistake?
A. The common denominator should be 4 rather than 8
B. The numerators are compared incorrectly.
C. The fraction 1/2 should have been rewritten as 6/8
D. The fraction 1/2 should have been rewritten as 4/8.
Answer:
D. The fraction 1/2 should have been rewritten as 4/8.
Step-by-step explanation:
Colleen compared the ratios 3:8 and 1/2.
Step 1
Write the ratios as fractions: 3/8 and 1/2
Step 2
Compare the numerators: 3 > 1
Step 3
Compare the denominators 8 >2
Write the correct statement:
3/8 > 4/8
Therefore, D. The fraction 1/2 should have been rewritten as 4/8.
Select all the correct answers.
martha works at a small jewelry store. she designs 2 rings in the first hour. every additional hour, she designs 3 new rings.
select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answer:
26
Step-by-step explanation:
If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.
Polygon ABCDE is reflected across the line x = −2. Graph and label the image A’B’C’D’E’. Is m∠A = m∠A’? Explain. Construct the line of reflection and then construct the image. Select a point to add a label.
Answer: See graph and proof below
Step-by-step explanation:
Under the reflection about the line x=-2
[tex]\begin{aligned}&A(-4,4) \longrightarrow A^{\prime}(0,4) \\&B(-3,3) \longrightarrow B^{\prime}(-1,3) \\&C(-3,2) \longrightarrow C^{\prime}(-1,2) \\&D(-5,1) \longrightarrow D^{\prime}(1,1) \\&E(-5,3) \longrightarrow E^{\prime}(1,3) \\&m < A=m < A^{\prime} \text { is true. }\end{aligned}[/tex]
Can someone help me with this?
it's C since it also has 4 elements
A farm has a small water tank with a diameter of 10 feet and a height of 4 feet. What is
the lateral surface area of the water tank?
40 square feet
125.6 square feet
Describe the shape of the data set (symmetrical, skewed, etc.) (statistic)
Answer:
Skewed left
Step-by-step explanation:
The outlier extends the curve making it skewed left is what i think
Find the value of X
/)/)/))/):):
Answer: 16
Step-by-step explanation:
What is the answer for 2y=6
Answer:
y = 3
Step-by-step explanation:
Divide each side by 2 to cancel out the 2 next to y. It should now look like this: y = 3I hope this helps!
Answer:
y = 3
Step-by-step explanation:
6/2 equals 3, and since 2 times 3 equals 6, y is the answer for this problem.
Anyone know how to do??
Answer:
x = 1
Step-by-step explanation:
...................
Answer:
1
Step-by-step explanation:
Step 1:
3x + 11 = 5x + 9 Sum of a line
Step 2:
11 = 2x + 9 Subtract 3x on both sides
Step 3:
2 = 2x Subtract 9 on both sides
Answer:
x = 1 Divide
Hope This Helps :)
find value of x, giving reasons
Answer:
=> x = 2.4
Step-by-step explanation:
By using PGT
=> (5+x)² = 7²+x²
=> 5² +x² +2(5)(x) = 49+x²
=> 25 + x² + 10x = 49 +x²
=> 10x = 49-25
=> 10x = 24
=> x = 24/10
=> x = 2.4
The diagram shows a regular octagon. Dennis drew diagonals from vertex A to all other non adjacent vertices. what is the measure of HAF?
Answer:
A 45degrees
Step-by-step explanation:
What value for a would make the equation true? Type in only the numerical answer or value.
Answer:
a = 3
Step-by-step explanation:
Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.
In either case, you get the following equation:
8(2a-1) = 4(a+7)
Open the parenthesis
16a - 8 = 4a + 28
Subtract 4a from both sides
12a - 8 = 28
Add 8 to both sides
12a = 36
Divide both sides by 12
a = 3
Sorry for weird formatting I'm on an ipad.
Answer:
Your answer is: A = 3
Solve for a by cross multiplying.
Step-by-step explanation:
Hope this helped : )
Determine the value of x in each diagram
answer is 45 ( x = 45 ) yes or no
Graph the pair of lines and use their slopes to determine if they are parallel, perpendicular, or neither.
Well they have to be perpendicual because they cross and parallel means that they are like lines on lines paper, they do not cross, they just keep going. Hope this helps :)
How does a 180-degree rotation about the origin change the coordinates of a shape?
Step-by-step explanation:
The Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...I think.. Hope it is right...;3
Answer:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 1. 4 meters, a width of 0. 5 meter, and a height of 1. 8 meters? 7. 52 m³ 3. 7 m³ 2. 02 m³ 1. 26 m³.
The volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
What will be the volume of the rectangular prism ?Given that
[tex]\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m[/tex]
[tex]\rm width\ of \ prism=0.5\ m[/tex]
[tex]\rm Height \ of \ prism=1.8\ m[/tex]
[tex]\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H[/tex]
[tex]V=1.4\times 0.5\times1.8=1.26 \ m^{3}[/tex]
Thus the volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
To know more about the volume of the rectangular prism follow
https://brainly.com/question/24284033
You are given a triangle that has sides 5 7 ad 10 how large is the smallest angle of the triangle
Answer:
Step-by-step explanation:
Comment
This uses the cosine Law for line length.
Formula
a^2 = b^2 + c^2 - 2*b*c*sin(A)
Givens
a = 5
b = 7
c = 10
Solution
5^2 = 7^2 + 10^2 - 2*7*10*cos(A)
25 = 49 + 100 - 140*cos(A) Combine the right side
25 = 149 - 140 * cos(A) Subtract 149 from both sides
25 - 149 = - 140*cos(A)
-124 = -140 * cos(A) Divide both sides by -140
-124/-140 = cos(A)
Cos(A) = 0.8857 Take the inverse Cos of both sides
A = cos-1(0.8857)
Answer
A = 27.66 degrees
What is the PERIMETER of a square with side length 3 cm?
Answer:
12
Step-by-step explanation:
Perimeter is using addition and if its a square, all of the sides are the same.
If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm
Answer:
12
Step-by-step explanation:
A square with 3cm long side
Area = 2 sides multiplied
Perimeter = All sides added
3 + 3 + 3 + 3 = 12cm
or
3 × 4 = 12cm
makayla has 90 minutes to answer 36 questions on a school survey. how many mins per question does she have
Answer:
2.5 minutes per question
Step-by-step explanation:
90 mins/ 36 questions equals 2.5 mins per question
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9
Answer:
- [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - y = 9 ( subtract 4x from both sides )
- y = - 4x + 9 ( multiply through by - 1 )
y = 4x - 9 ← in slope- intercept form
with slope m = 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
Tangle ABC is dilated to create triangle ABC using
point as the center of cilation
What is the scale factor of the dilation?
9
3
B
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of OA' to OA , that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{3+9}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4