Answer:
114
Step-by-step explanation:
We know that [tex]f(x) = 4x^2-7x+12[/tex] and that [tex]f(x) = f(6)[/tex]. Therefore, you substitute x as 6 in the given expression.
Calculations:
[tex]f(x) = 4x^2-7x+12[/tex]
[tex]f(6)=4(6)^2-7(6)+12[/tex]
[tex]4(36)-42+12=114[/tex]
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
What type of transformation moves P(3,-6) to
P'(3, 6)?
Reflection in the y-axis
Reflection in the x-axis
Rotation 180
Translation
Answer:
Rotation 180
Step-by-step explanation:
The axis points right to the rotation so it implies that exact answer
An inverse variation includes the points (15,1) and (n,5). Find n
The value of n is, 75.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
An inverse variation includes the points (15, 1) and (n, 5).
Now, We know that;
The inverse variation is defined as,
⇒ y = k x
Here, An inverse variation includes the points (15, 1) and (n, 5).
Hence, Substitute x = 15, and y = 1;
⇒ 1 = k × 15
⇒ k = 1/15
And, Substitute x = n and y = 5;
⇒ y = k x
⇒ 5 = 1/15 × n
⇒ 5 × 15 = n
⇒ n = 75
Learn more about the proportion visit:
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plssssss help giving brainliest
Answer:
ask your teacher
Step-by-step explanation:
Work out m and c for the line:
y= 2x + 5
Help, please, please, please!!!!!!!
Answer:
X+2y=14
==X+2y-14=0
Step-by-step explanation:
Y=3x-14
==x=14/3
(6,4)is the anwer you can use desmos and it will give you the aswer
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
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Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase. Part A: What is the greatest number of flowers she can put in each vase? Part B: How many flowers will Emily have left over?
Answer:
Part A
= 9 flowers
Part B
= 5 flowers
Step-by-step explanation:
Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.
Part A: What is the greatest number of flowers she can put in each vase?
This is calculated as:
59 flowers ÷ 6 vases
= 9 5/6 flowers
Therefore, the greatest number of flowers she can put in each vase is 9 flowers
Part B: How many flowers will Emily have left over?
We have to calculate the number of flowers in the 6 vases above
= 9 flower × 6
= 54 flowers
Hence:
= 59 flowers - 54 flowers
= 5 flowers
Therefore, Emily would have 5 flowers left over.
3 Mr. Howell runsmile in 6 minutes. Mr. Samuels runs 15 miles in 9 minutes. Whose speed is
greater? Explain.
4
HELPP
Answer:
Mr. Samuels
Step-by-step explanation:
Mr samuels runs a mile in 36 seconds, which is much faster than Mr. Howell.
Help me plsssssssssssssss
Please Help
Question; What is the value of x?
Answer:
x+5/30 = 16/20
20x+100=480
20x=380
x=19
Step-by-step explanation:
x+5/30 = 16/20
20x+100=480
20x=380
x=19
a model house is 22 centimeters long.If it was built with a scale factor of 3 centimeters equals to 7 feet, then how long is the house in real life
Answer:
51 1/3 feet
Step-by-step explanation:
3 cm / 7 ft = 22 cm / x ft
cross-multiply:
3x = 154
x = 51.33
(HELP FAST PLEASE)
Rodrigo scored 17 goals in 6 games. At this rate how many goals will he score in 4 games? Round your answer to the nearest whole number.
Answer:
I think of scoring 6 goal
Answer:
approximately 12
Step-by-step explanation:
17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12
answer this and ill give brainliest
Answer:
-4.65< -4 and 2/5
Step-by-step explanation:
To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:
-4.65<-4.4
-4.65<-4 2/5
Answer:
<
Step-by-step explanation:
You have to convert the mixed number by multiplying the whole number by the denominator, adding the numerator, and dividing the sum by the denominator.
4x5=20
20+2=22
22÷5=4.4
-4.65 < -4.40
what is £120 by 40% Decreased
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
12/15=x/25 solve (algebra) pleas help I will mark brainlyesst
Answer:
20/25
Step-by-step explanation:
12/15=
4/5=
20/25
tysm for all your help Here is a crown and points. contest the first answer will get a mark
WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT
Answer:
AHH
Step-by-step explanation:
Which linear inequality is represented by the graph?
O y < 1/2x +2
O y > 1/2x +2
O y < 1/3x +2
O y > 1/3x +2
Answer:
O y _< 1/2x +2 is your answer according to the given conditions.
5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?
Step-by-step explanation:
divide 5 by 3.80 and then the multiply the answer by 7
Answer:
7 chocolate bars=£5.32
Step-by-step explanation:
3.80÷5=0.76(one chocolate bar)
0.76×7=5.32(7 bars)
Find the point where the two lines intersect (both problems, please. I don't understand it ;-; )
Answer:
point a to point b is only one lkine.
If you're looking for it's length then (11,-7), or 13.04
Step-by-step explanation:
Find the measurement of either the leg or the hypotenuse: A = B = 21 C = 0
35
A tree that is 6 feet tall is growing at a rate of 2 feet every year. A tree that is 12 feet tall is growing at a rate of foot each year. Enter the number of years it will take the two trees to be the same height.
Answer:
6 years
Step-by-step explanation:
let x = # of years
6 + 2x = 12 + x
x = 6
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 675 square feet. The width of the basement is 1/3
its length. What is the length of Louis's basement?
I am reading this correctly, the width = 1/3 of the length?
If this is the case, and we know that the area is 675, the equation is as follows.
Width x Length = 675 ft2
X = length
1/3 X x X = 675 ft2
To solve for X we have to multiply both sides by 3.
X square 2 = 2601 square feet.
Take the square of each side.
X = 225 sqare feet.
I hope this helps, let me know if you have any questions.
2 kg in the ratio 3:5
Answer:
3u--> 750g
5u-->1250g
Step-by-step explanation:
2kg = 2000g
3+5=8
8u --> 2000g
1u--> 250g
3u--> 750g
5u-->1250g
Please help I have no clue if you can please do step by step explaining
Answer:
36cm^2
Step-by-step explanation:
Break it apart into rectangles/squares where you can figure out what the length of at least two sides are for each.
Then multiply and get the area of the smaller area.
Then add the areas up.
You're basically just breaking it down into smaller shapes, then adding the different parts back together.
when dividing decimals which place should you move the decimals?
Answer:
To the right!
Hope that helps!
Step-by-step explanation:
An average person can type 2,4002,400 words per hour. Trista types at the same rate as the average person and made the double number line below to estimate how long it will take her to type her research paper. Using Trista's double number line, estimate how long it will take her to type her 1,400-word research paper.
Answer:
35 minutes
Step-by-step explanation:
Given that:
Trista:
Average word type per hour = 2400 words /hr
For Trista to type her 1400 word research paper ;
It will take 'h' hour
If
2400 words = 1 hour
1400 words = h
Cross multiply :
2400h = 1400
h = 1400 / 2400
h = 0.5833333 hr
To minutes, it will take :
0.5833333 * 60 = 35 minutes
Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.
Which of the following is a monomial?
A. 20x11 - 3x
B. 11X-9
C. 20x11
Answer: A
Answer: the answer is c : 20x^11
Step-by-step explanation:
Write a negative story using all four operations ( add, subtract, multiply, divide ) of integers as a part of the plot.
Answer:
BODMAS rule
Step-by-step explanation:
There are four basic rules in mathematics, Addition, subtraction, Multiplication and Division. All these operations can be used together or separately depending on the problem. When all the operation are required in the problem then BODMAS rule is applied to simplify the problem. BODMAS rule determines that operation will be performed according to the rule : Division, Multiplication, Addition and Subtraction. First operation which will be performed is division and last will be subtraction. This rule is same for all types of problems.