Answer:
Slope = -7
y-intercept = -9
Step-by-step explanation:
The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.
y = mx + b
y = -7x - 9
m = -7 which is the slope
b = -9 which is the y -intercept
Question
Find and record a series of rigid transformations that will map your copied triangle to your original triangle. In the table, note the angles of
rotation, lines of reflection, and distances moved. (Although the table provides space to record five steps, you might map your triangle in fewer
steps.)
1
2
3
4
5
Answer:
1. Rotate DEF 90 degrees clockwise about point D (8,1).
2. Translate DEF 8 units up.
3. Reflect DEF about the line x = 6.5.
Step-by-step explanation:
Sample answer for PLATO!
First Rotate DEF 90 degrees clockwise about point D (8,1). then Translate DEF 8 units up. and Reflect DEF about the line x = 6.5.
What is Rigid transformation?Rigid transformation implies that the side lengths and the angle measures of the triangles are preserved when mapping them.
From the question, we have the following as;
The transformation is rigid
The triangles can be mapped onto one another
If the above statement is true, then the triangles are not only similar, but they are also congruent.
This is the angle measures and the side lengths of both triangles would be the same.
Read more about rigid transformations at:
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What is the solution set for 9x^2-25=0?
Answer:
A
Step-by-step explanation:
9x^2-25=0
x= 5/3 and -5/3
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
What is quadratic equation ?Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex] , where x is variable and a, b and c are any real numbers and a ≠ 0 is called quadratic equation .
given quadratic equation :
[tex]9x^2-25=0\\\\[/tex]
Adding 25 both sides
[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]
Dividing by 9 on both sides
[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]
Taking square root both sides
[tex]x= \pm \sqrt(\frac{25}{9})[/tex]
[tex]x= \pm \frac{5}{4}[/tex]
[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
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Select all the expressions that have a value of 180 when b = 4.
A 87b−179+957÷87
B 33b12
C b2+120
D 51b−24
E 11b+187−2,756÷13
The expression 51b-24 has a value of 180 when b = 4. Therefore, option D is correct.
We need to select all the expressions that have a value of 180 when b = 4.
What is the expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Now, substitute b=4 in option A.
That is 87b−179+957÷87=87×4−179+957÷87=12.94.
Substitute b=4 in option B.
33b12=33×4×12=1584
Substitute b=4 in option C.
b²+120=4²+120=136
Substitute b=4 in option D.
51b-24=51×4-24=204-24=180
Substitute b=4 in option E.
11b+187−2,756÷13=11×4+187−2,756÷13=-194.23
Therefore, the expression 51b-24 has a value of 180 when b = 4.
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Lara measured a swimming pool MAD scale drawing scale used what is 9 mm: 4 m in the drawing the pools 99 mm long what is the length of the actual pool
Answer: The actual pool is 44 m long.
Step-by-step explanation:
Given : The scale used for drawing :
9 mm: 4 m
i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.
If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]
hence, the actual pool is 44 m long.
Geometry, i think my answer is wrong
Answer:
23°
Step-by-step explanation:
mABD is just the angle of B
9x-22 = 6x -7
3x -22 = -7
3x = 15
x = 5
9(5) -22
45-22
23
HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup.
Answer:
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Step-by-step explanation:
The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:
[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)
Where:
[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.
[tex]V_{water}[/tex] - Volume of water, measured in gallons.
A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:
[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)
Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.
If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:
[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]
[tex]3.5 = 0.4\cdot (5+V')[/tex]
[tex]3.5 = 2+0.4\cdot V'[/tex]
[tex]0.4\cdot V' = 1.5[/tex]
[tex]V' = 3.75\,gal[/tex]
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Answer:
3.75 gallons of water should be added
Step-by-step explanation:
b. A solution to the equation f(n)=−3 is 5.
Answer:
f(n) = 1
Step-by-step explanation:
Another answer for -3. FxN= -3
URGENT!!! my question is in the picture brainliest, extra points, i have other questions on my page please answer those too
Answer: heyo my friend, missed ya <3
Step-by-step explanation:
You make $0.50 for every newspaper you sell during the week. Last week you made $30.50 How many newspapers did you sell.
Answer:
You sold 61 news papers.
Step-by-step explanation:
If each paper is $0.50, you multiply it by 61, you will get $30.50
Answer:
Step-by-step explanation:
$0.50 for every newspaper sooo.... 50cts + 50 cts is $1.00
50 .....1.00.....1.50.....2.00....2.50...3.00...3.50...4.00...4.50...5.00...5.50...6.00..
you know where i'm going with this... count by 50s and write them down and then count. it may be a lot but the grades matter. good luck.
Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !
Answer:
No, I haven't taken the isat.
Step-by-step explanation:
Answer:
No, what is it for?
Step-by-step explanation:
A person has gotten a new job with a much higher salary. Even though he'll be
making more money, he wants to start saving at a much higher rate. As a
result, he plans to spend even less money this year than he did last year.
Which statement best describes the tax situation this person will likely face in
the next year?
A. He will pay more in both property tax and income tax.
B. He will pay more in income tax but less in sales tax.
C. He will pay more in sales tax but less in income tax.
O D. He will pay more in both income tax and sales tax.
Answer:
B
Step-by-step explanation:
because he earns more, he will have to pay more tax. however since he spends less, he will pay less sales tax.
The statement that best describes the tax situation with this new job is;
Option B; He will pay more in income tax but less in sales tax.
He has gotten a job with a higher salary. Since tax comes at a fixed percentage, it implies that he will be paying more in tax when compared to the previous job.Let us look at the options;
Option A; This is not correct because property tax only increases when the value of your home increases and has nothing to do with an increase in salary.Option B; This option is correct because an increase in income leads to an increase in income tax while sales tax will reduce because he wants to spend less and as such will accrue lesser sales taxes.Option C; This is the opposite of Option B and as such it is not correct.Option D; He will pay more income tax as explained in option B but sales tax will reduce and not increase. Thus the statement is wrong.Read more at; https://brainly.com/question/19501172
A basketball star earned $4,000,000 last year. He played in 64 games for an average of 42 minutes per game. Find the rate in dollars per minute of playing time.
Answer:
1433.09
Step-by-step explanation:
4,000,000 divided by 64 = 62,500
62,500 divided by 42 1,433.09
He makes 1433.09 per minute
What is the slope a line perpendicular to the line 2x+4y=8? *
Answer:
slope of line perpendicular to given equation(m)=2
Step-by-step explanation:
5 to the 2 power
help
Answer:
25
Step-by-step explanation:
5²=25
Answer:
25
Step-by-step explanation:
it is like 5 times 5
i need help with only one question on number 4? anyone pls?
Please help me with questions 23-39
Answer:
23) 36·(3·1/4) = 36·(3/4) = 108/4 = 27
24) (4·2/7)·21 = (8/7)·21 = 168/7 = 24
25) 2(x+4) = 2x+8
26) (5+n)3 = 15+3n
27) (4-3m)8 = 32-24m
28) -3(2x-6) = -6x+18
29) 13r+5r = 18r
30) 3x³-2x²
31) 7m+7-5m = 2m+7
32) 5z²+3z+8z² = 3z+13z²
33) (2-4n)17 = 34-68n
34) 11(4d+6) = 44d+66
35) 7m+2m+5p+4m = 13m+5p
36) 3x+7(3x+4) = 3x+21x+28 = 24x+28
37) 4(fg+3g)+5g = 4fg+12g+5g = 4fg+17g
38) (5m)²+(m+5)²= 26m²+10m+25
39) 7(a²+b)-4(a²+b) = 3(a²+b) = 3a²+b
please help me I will mark BRAINLIEST and I will give you a rating of 5 stars
Answer:
141 = 145 184-188
Step-by-step explanation:
to find the pattern you would have to see what each of them have in common
All of them 4 was added to the answer
I subtracted both numbers and got 4 then i decided to add 4 to get the other to get the pattern
PLEASE GUYS PLS HELP ME W THIS ONE QUESTION I NEED IT BY TMR OR IM DEAD SO PLS -
Answer:
(a) 32 (b) 192
Step-by-step explanation:
Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but the height would stay the same.
Hope this helps :D
Todd has $50 to spend On a video game the game he wants costs $30 if he buys one game he gets a second game for half price how much money will he have left if he purchases two games?
Answer:
Answer: He has $20 left to spend.
Step-by-step explanation:
Your welcome.
A school had 620 students win academic success awards in 2014. In 2015, the school had 527 students win academic success awards. What is the percent decrease in the amount of students receiving academic success awards?
A.15%
B.85%
C.93%
D.19%
Divide write answer in simplest form 8 1/3 ÷ 2/3
See attachment for math work and answer.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
x = 5Step-by-step explanation:
As we know that
The exterior angle of a triangle is the result of the sum of the measures of the two non-adjacent interior angles.In other words,
An exterior angle is equal to the sum of the two angles not right next to it.so from the diagram,
(11x+5) is the exterior angle30° and (-5+7x) are the two non-adjacent interior angles.so
[tex]11x+5\:=\:30+\:\left(-5+7x\right)[/tex]
[tex]11x+5=30-5+7x[/tex]
[tex]11x=7x+20[/tex]
subtract 7 from both sides
[tex]11x-7x=7x+20-7x[/tex]
[tex]4x=20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
[tex]x=5[/tex]
Therefore, x = 5
3. If m angle 2=98°, m angle 3=23°, and m angle 8=70°, find each measure. 4. If m angle 3=54°, find each measure.
Answer:
Step-by-step explanation:
3). m∠1 = 180° - 98° = 82°
m∠7 = 180° - ( 98° + 23° ) = 59°
m∠6 = 180° - ( 70° + 59° ) = 51°
m∠9 = m∠6 = 51°
m∠10 = 180° - 51° = 129°
m∠4 = 180° - ( 70° + 51° ) = 59°
m∠54 = 180° - (23° + 59° ) = 98°
4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°
m∠2 = m∠5 = 90°
m∠6 = m∠3 = m∠8 = m∠10 = 54°
m∠7 = m∠9 = 90° + 36° = 126°
m∠12 = m∠14 = 180° - 36° = 144°
The measure of an an angle can be found from other known angles and the angular relationships present
The measures of the angles are;
3. a. m∠1 = 82°, [tex]{}[/tex] b. m∠4 = 59°, c. m∠5 = 98°, d. m∠6 = 51°, e. m∠7 = 59°, [tex]{}[/tex] f. m∠9 = 51°
4. a. m∠1 = 36°, [tex]{}[/tex] b. m∠2 = 90°, c. m∠4 = 36°, d. m∠5 = 90°, e. m∠6 = 54°, [tex]{}[/tex] f. m∠7 = 126°, g. m∠8 = 54°, h. m∠9 = 126°, i. m∠10 = 54°, [tex]{}[/tex] j. m∠11 = 36°, k. m∠12 = 144°, l. m∠13 = 36°, m. m∠14 = 144°
The reason the above values are correct are as follows;
The known parameters are;
m∠2 = 98°
m∠3 = 23°
m∠8 = 70°
a. m∠1 and m∠2 are linear pair angles
Therefore;
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180° - 98° = 82°
m∠1 = 82°
b. m∠4 = m∠7 = 180° - m∠2 - m∠3
∴ m∠4 = 180° - 98° - 23° = 59°
m∠4 = 59°
c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)
∴ m∠5 = 180° - 23° - 59° = 98°
m∠5 = 98°
Also m∠2 = m∠5 (corresponding angles)
d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)
∴ m∠6 = 180° - 59° - 70° = 51°
m∠6 = 51°
e. m∠7 = m∠4 = 59° (alternate interior angles theorem)
f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)
∴ m∠9 = 180° - 59° - 70° = 51°
m∠9 = 51°
Also, m∠9 = m∠6 = 51° (corresponding angles)
4. m∠3 = 54° (given)
a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)
m∠1 = 36°
b. m∠2 = 90° (given, geometry symbol)
c. m∠4 = m∠1 = 36° (vertical angles)
m∠4 = 36°
d. m∠5 = m∠2 = 90° (vertical angles)
m∠5 = 90°
e. m∠6 = m∠3 = 54° (vertical angles)
m∠6 = 54°
f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)
m∠7 = 36° + 90° = 126°
m∠7 = 126°
g. m∠8 = 180° - m∠7 (linear pair)
m∠8 = 180° - 126° = 54°
m∠8 = 54°
h. m∠9 = m∠7 = 126° (vertical angles)
m∠9 = 126°
i. m∠10 = m∠8 = 54° (vertical angles)
m∠10 = 54°
j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)
m∠11 = 180° - 90° - 54° = 36°
m∠11 = 36°
k. m∠12 = 180° - m∠11 (linear pair)
m∠12 = 180° - 36° = 144°
m∠12 = 144°
l. m∠13 = m∠11 = 36° (vertical angles)
m∠13 = 36°
m. m∠14 = m∠12 = 144° (vertical angles)
m∠14 = 144°
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How to simplify 7 - 9x -15 + 12x into an expression
3x - 8
bdjwysksuxvsjahajhx
Answer:
Simplified is 3x - 8
Step-by-step explanation:
First, put the like terms together, so rearrange that equation to 12x - 9x - 15 + 7. Then from there you subtract 9x from 12x which is 2x and add 7 to negative 15, which is -8.
Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)
Answer:
Slope of a line perpendicular to a line = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
(x₁ , y₁ ) = (3 , -5) & (x₂, y₂) = (1 , 7)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
[tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]
PLZZZ HELPPP ME!!!
A road map shows the intersections of roads. There are three parallel roads cut by
a fourth road that acts like a transversal.
What is tru
Choose one
If ZEBC mea
ZHEF has th
The sum of th
Answer:
4
Step-by-step explanation:
if a watch cost $40 and you pay 6.5% sales tax, how much will the tax be
Answer:
$2.60
Step-by-step explanation:
6.5/100 x 40 = 0.065 x 40 = 2.6
= $2.60
Which describes the transformation of the triangle?
a. reflection over the x-axis
b. reflection over the y-axis
c. rotation 90º CW about the origin
d. rotation 180º CW about the origin
Answer: b. Reflection over the y axis.
Step-by-step explanation: The vertical line is the y axis, and the triangle is flipped over it.
Please help me with questions 3-12 but I have number 4 done ✅
Answer:
3. 55
6. 16m
8. 7m + 10
Step-by-step explanation:
Thats all i could do im not that smart
