Answer:
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
a = 1
b is the sum of its two roots
c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
Which expression is equivalent to the expression shown?
(5^3)^9/5^12
5^24
5^15
5^0
5^1
Answer:
5^0
Step-by-step explanation:
(5^3)^9 = 3 + 9 = 12
= 5^12
5^12/5^12 = 12 - 12 =0
5^0
brainliest is appreciated
5 daños colaterales de los avances medicos
Answer:
1. Dosis de la vacuna de Oxford
Step-by-step explanation:
Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.
Answer:
[tex]Total = 32.4in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
The surface area of the pyramid
To do this, we calculate the surface area of each of the pyramid faces.
For the equilateral triangle.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.9in[/tex]
The area is:
[tex]A_1 = 0.5 * Base * Height[/tex]
[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]
[tex]A_1 = 8.775in^2[/tex]
There are 3 isosceles triangles of equal dimension.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.5in[/tex]
The area of one of them is:
[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]
[tex]A_2 = 7.875in^2[/tex]
For the 3, the surface area is:
[tex]3A_2 = 7.875in^2 * 3[/tex]
[tex]3A_2 = 23.625in^2\\[/tex]
The total surface area is:
[tex]Total = 8.775in^2 + 23.625in^2[/tex]
[tex]Total = 32.4in^2[/tex]
Does this graph show a function? Explain how you know.
Answer:
I think it's A
...........................
Which triangles are similar to DEF?
A. ADFG
Β. ΔEGF
C. ΔFEG
D. ΔGDF
Answer:
C&B i Think this is it
enjoy dis hehehehehheh OOF
Answer:
The answer is b and c
Step-by-step explanation:
A ladder is 51 inches tall. How tall is it in feet and inches?
Answer:
4 feet and 3 inches
Step-by-step explanation:
The measure of ladder in feet is 4.15.
Given that, a ladder is 51 inches tall.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 feet = 12 inches
So, in inches = 51/12
= 4.25 feet
Therefore, the measure of ladder in feet is 4.15.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ6
What is the distance between points S and U if S is 2, 1 and U is 6, 8
Round to the nearest tenth of a unit.
A. 3.3 units
B. 6.4 units
C. 8.1 units
D. 12.0 units
The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units
Answer:
C
Step-by-step explanation:
S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)
taking the distance formula : sqrt(4^2 +7^2)
= sqrt(65) = 8.1 which is answer C
The original price of a chair is $545. A store discounted the price of this chair by 25%. What is the price of the chair, not including tax, with the discount applied?
Answer:
$408.75
Step-by-step explanation:
25%=0.25
545*0.25=136.25
$545-$136.25=$408.75
Scientists are studying a bacteria sample. The function f of x equals 256. 1.15 to the x. gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
my borther needs help with this problem
Answer:
Hey there down here
Step-by-step explanation:
14+10+6 = 40-10
14+10+6 = 30
30=40-10
so 14+10+6 = 40-10
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
What is the surface area of the solid?
A.
189 square centimeters
B.
329 square centimeters
C.
154 square centimeters
D.
164.5 square centimeters
Answer:
A
Step-by-step explanation:
First u need to do the square 7 times 7 is 49 and one triangle is 70 and divide that by 2 it will equal 35 so there is 4 triangles so times that by 4 is will equal 140 and plus 49 is will equal 189
Answer:
hey
Step-by-step explanation:
option A) i.e. 189 cms
Select the statement that describes this expression: 32 ÷ 4 + (fraction 1 over 2 x 16) − 2. 32 times 4 plus fraction 1 over 2 times 16, then subtract 2 32 divided by 16 added to fraction 1 over 2 plus 4, then subtract 2 Half of 16 divided by 4 plus 32, then subtract 2 The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
Given:
32 ÷ 4 + (fraction 1 over 2 x 16) − 2.
32/4 + (1/2 * 16) - 2
32 times 4 plus fraction 1 over 2 times 16, then subtract 2
32 divided by 16 added to fraction 1 over 2 plus 4, then subtract 2 Half of 16 divided by 4 plus 32, then subtract 2
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
The statement which describes the situation is:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Answer:
32 times 4 plus fraction 1 over 2 times 16, then subtract 2
Step-by-step explanation:
PLS MARK AS BRAINLIEST!!!!!
Help plz :)
Determine the measure of each unknown angle using the diagram.
Oak Street and Elm Street run parallel to each other.
When Main Street
intersects them, it forms exterior Z8, measuring 60°.
What is the measure of
22?
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The answer is 35.1 cm².
Hope this helps; have a great day!
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
What is the image point of (2,-5)(2,−5) after a translation right 4 units and up 3 units?
Answer:
(5,-1)
(5,-1)
Im pretty sure
Write the series using summation notation: -1 +4-9+ 16 - 25+ ...
A balance scale shows that 12 + 5 = 17. If five units are removed from one side, what needs to be done to the other side to keep the scale in balance?
Someone help me please ASAP
Answer:
false, should be left instead
Step-by-step explanation:
negative numbers on the left of zero, positive on the right
Answer:
False
Step-by-step explanation:
Negative numbers are to the left of zero (0) on a number line.
^
|
| type that in the box below
brainliest please
Find the oth term of the geometric sequence 9, -27, 81, ...
which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.
Answer:
b
Step-by-step explanation:
solve for x , (2x-1)=5(x+1)
no links
Answer:
x = -2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
(2x-1)= 5(x+1)
2x - 1 = 5x + 5
-2x -2x
- 1 = 3x + 5
-5 -5
-6 = 3x
-6/3= 3x/3
-2= x
Which expression is a cube root of -1 + i sqrt 3
Answer:
c
Step-by-step explanation:
Answer:
I think A or C
Step-by-step explanation: hope this was helpful
Evaluate 7d, when d = 9 please!
Answer:
63
Step-by-step explanation:
When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!
A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make with the wheelbarrow?
Answer:
28.9
Step-by-step explanation:
2782 divied by 96 gives you 28.9.
Find the distance, c, between (0, 2) and (5, –2) on the coordinate plane. Round to the nearest tenth if necessary.
Answer: 6.4
Step-by-step explanation:
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt (41)
d = 6.4
pleaseee help im really confused
you are shopping for a Nintendo Switch and you have a choice to make. You can pay $420 and add 10% for shipping or pay $400 and add 20% for shipping. Which costs less?
Answer:
420 x .1 = 42
420 + 42 = 462
400 x .2 = 80
400 + 80 = 480
The first one is cheaper
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answer:
Isosceles right triangle.
Step-by-step explanation:
From the given triangle ABM,
AM ≅ MB [Given]
∠AMB is an angle subtended by the diameter AB.
By theorem, angle subtended by a diameter is always 90°.
m∠AMB = 90°
So the given triangle is a right triangle with two equal sides AM and MB.
Therefore, ΔAMB is an isosceles right triangle.