Given:
Consider the equations are
[tex]3x+4y=7[/tex]
[tex]4x+3y=9[/tex]
To find:
The value of x-y.
Solution:
We have,
[tex]3x+4y=7[/tex] ...(i)
[tex]4x+3y=9[/tex] ...(ii)
Subtracting (i) from (ii), we get
[tex]4x+3y-(3x+4y)=9-7[/tex]
[tex]4x+3y-3x-4y=2[/tex]
[tex](4x-3x)+(3y-4y)=2[/tex]
[tex]x-y=2[/tex]
Therefore, the value of x-y is 2.
A, B and D are points on the circumference of a circle, centre O.
BOD is a diameter of the circle.
BC and AC are tangents to the circle.
Angle OCB =34.
Work out the size of angle DOA.
Answer:
Step-by-step explanation:
A tangent makes a 90° angle to the circle.
∠BOC = 180°-90°-34° = 56°
△AOC is congruent to △BOC, so ∠AOC = 56°
∠DOA = 180°-56°-56° = 68°
The size of the angle DOA is 68°
What is the tangent of the circle?"It is the line which intersects the circle exactly at one point."
For given example,
BC and AC are tangents to the circle.
∠OCB = 34°
As, OC is the angle bisector for ∠ACB
⇒ ∠OCB = ∠OCA
⇒ ∠OCA = 34°
⇒ ∠ACB = ∠OCB + ∠OCA
⇒ ∠ACB = 34° + 34°
⇒ ∠ACB = 68°
We know, the tangent to a circle is perpendicular to the radius of the circle.
⇒ CB ⊥ OB
⇒ ∠OBC = 90°
and CA ⊥ OA
⇒ ∠OAC = 90°
We know, the sum of all angles of quadrilateral is 360°.
For quadrilateral ACBO,
⇒ ∠OAC + ∠ACB + ∠OBC + ∠BOA = 360°
⇒ 90° + 68° + 90° + ∠BOA = 360°
⇒ ∠BOA = 112°
We know, the angle subtended by semicircle is 180°.
⇒ ∠AOB + ∠DOA = 180°
⇒ 112° + ∠DOA = 180°
⇒ ∠DOA = 68°
Therefore, the size of the angle DOA is 68°
Learn more about the tangents of the circle here:
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09 Multiple Choice
Is 3 a solution to this inequality: x<3
yes
no
Answer:
No because the sign does not have a line under it. The line means equal too
Step-by-step explanation:
Le cross du college s'effectue sur le parcours schématisé
ci-contre en partant du point A et en suivant le sens des
leonas. Les eleves de quatrieme doivent parcourir 1.5 km.
On doit-on placer la ligne d'arrivée sur le circuit?
( measure : from A to B is 69 m
from B to C is 72m
from D to A is 36m )
Answer is in the photo. Click on the photo.
mother cute the cloth that measures 23.349 cm. What is the place value of 4 in this number
Answer:
The place value is Hundrenths.
Step-by-step explanation:
After teh decmal it goes . Tenths,Hundreths,thosands.. and so o n. The 4 is in the Hundreths place.
answer this algebra question x/12 - 5 = 7
Answer:
x=144
Step-by-step explanation:
x/12-5=7
x-60=84
x=84+60
x=144
A clear box has the shape of a rectangular prism and is filled with sand. Find the volume if the box
Answer:
24 m³
Step-by-step explanation:
Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question
Assuming it's breadth is 2 m.
Assuming it's length is 4 m.
Assuming it's height is 3 m
Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³
24 m
Now what you'd do is substitute your values for my assumed values.. Cheers
URGENT. The cover of a science textbook has a width of (x-2) and a length of (x^2 -5x+4) inches. Find the area of the cover of the science textbook.
Question 1(Multiple Choice Worth 1 points)
(04.06 LC)
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
A.(2, −5)
B.(−2, 5)
C.(2, 5)
D.(−2, −5)
Answer:
C
Step-by-step explanation:
It’s convenient that there are only two x values you need to check, -2 and 2. Just insert it to see what y is appropriate.
x = -2: y > 6 + 3 = 9 (and y > -2 + 2 = 0 which is redundant here)
x = 2: y > 2 + 2 = 4 (and y > -6 + 3 = -3 which is redundant here)
So, neither B nor D is in the solution set with 5 < 9 and -5 < 9.
A isn’t in the solution set either with -5 < 4.
C is in the solution set with 5 > 4.
Answer:
c
Step-by-step explanation:
I don’t now if u can see it very well but could anyone help me with this
Answer:
A and c
Step-by-step explanation:
If im correct A and C is the answer because A and C represent the vertical angles :)
A periodic wave with wavelength f= 30 Hz has speed v= 150 m/s. What is the wave's wavelength?
Answer:
The wave's wavelength λ = 5 m
Step-by-step explanation:
Explanation:-
Given that the frequency f = 30HZ
Given that the velocity
'v ' = 150m/s
The wave's wavelength
[tex]= \frac{velocity}{frequency} = \frac{150}{30} = 5[/tex]
The wave's wavelength λ = 5 m
Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
$ ___
Answer:
$3.90
The cost of making them all is 1.50 subtracted from the profit he made
Find the length of the missing side (nearest tenth).
15 yd
26 yd
Answer:
21.23 yard
Step-by-step explanation:
we need to do pyathagoras theoram.
find area of triangle
If a third plane could be drawn which contains both lines a and b, then lines a and b must be parallel. lines a and b cannot be parallel. lines a and b must be skew. lines a and b must be perpendicular.
Answer:
Yes a third plane can be drawn which contains parallel lines.
Step-by-step explanation:
There are two points:
1) a third plane can cab drawn which can have two line parallel as shown in the figure 1.
2) If plane A has a line and plane B has a line such that they are parallel to each other than the third plane cannot be drawn which contains both lines and b parallel.
A third plane can have only two lines parallel if they are not parallel in the in the other two planes.
We see that lines c and d parallel in the third plane are perpendicular in the planes A an d B.
Answer:
A lines a and b must be parallel.
Step-by-step explanation:
There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed
Z varies jointly with x, and y, and z=7 when x= 2, y= 2
pleasee I need an answer now!!
Answer:
(7/4)(2)(2)=7
Step-by-step explanation:
Answer:
z = 1.75xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition z = 7 when x = 2 and y = 2, then
7 = k × 2 × 2 = 4k ( divide both sides by 4 )
1.75 = k
z = 1.75xy ← equation of variation
Which number is NOT in the solution set of the inequality x>-15?
A) 10)
B) -5
C) -10
D) -20
Answer:
d
Step-by-step explanation:
if x has to be greater than -15 and -20 = x than its not true because -20 isn't greater than -15
Answer:
yes its d because -15 is not greater than -20
find the area of 4,4,8,2
Answer:
4x4x8x2 = 256
Step-by-step explanation:
Answer:
its 256
Step-by-step explanation:
4 x 4 x 8 x 2 = 256
I need help solving for X and Y
Answer:
y = 4 ; x = 4√2
Step-by-step explanation:
This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.
What is the equation of the circle shown in the graph?
Answer:
( x + 6)² + ( y – 4)² = 36
Step-by-step explanation:
Edge21
Answer:
( x + 6)² + ( y – 4)² = 36
Step-by-step explanation:
Add.
(79 + 1) + (59 + 2)
PLEASE HELP ME ASAP ?!?!?
Find the missing side lengths.
Leave your answers as radicals in simplest form.
Answer:
m = 5 n = [tex]\frac{5\sqrt{3} }{2}[/tex]
Step-by-step explanation:
5/2x2=5
5/3xsqrt3=5sqrt3/2
. Determina el número aproximado
de pasos que da una persona al recorrer
1.5 kilómetros, si la longitud promedio
por paso es de 50 centímetros.
Answer:
lo siento, no lo sé
Estoy respondiendo por puntos
Step-by-step explanation:
lo siento por hacerte perder el tiempo
The coordinates of one endpoint of a line segment are (4, −12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coordinate pairs in the box using a comma to separate each pair. For example: (0, 0), (1, 1), (2, 2), (3, 3)
Answer:
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).
Step-by-step explanation:
One endpoint of (4,-12), length of 5 units.
Four possible pairs:
Add 5 to x, keep y: (4+5,-12) = (9,-12).
Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).
Keep x, add 5 to y: (4,-12+5) = (4,-7)
Keep x, subtract 5 from y: (4,-12-5) = (4,-17)
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).
Find the length of the third side. If necessary, write in simplest radical form. (15 POINTS!!)
Answer:
4
Step-by-step explanation:
perpendicular (p) = 4
hypotenuse (h) = 2√5
base (b) = ?
We know by using Pythagoras theorem
b = √(h² - p²)
= √ (2√5)² - 4²
= √ 16
= 4
3(x + 4) + 3x = -6 solve x
Answer:
x = -3
Step-by-step explanation:
3(x + 4) + 3x = -6
3x + 12 + 3x = -6
6x + 12 = -6
6x = -18
x = -3
Answer:
x=-3
Step-by-step explanation:
3x+12+3x=-6
6x+12=-6
-12 -12
6x=-18
6 6
x=-3
AM GIVIG BRAINLIEST look below find the area of each figre
you must write the formula under each shape/figure
Answer:
1 rectangle
Step-by-step explanation
Area= lxb
So 7.7 x 11 = 84.7
3 trapezoid
Area =(a+b/2)
Base a=13
Base b = 6
Height = 5
By 2
Answer= 47.5
4 Right angled triangle
Ab/2
Axb
Multiply each legs of the right angle triangle
So 3 1by4 x 4
By 2
Answer: See explanation
Step-by-step explanation:
1. That's a rectangle, the area of a rectangle is l (length) × w (width)
l = 11 cm
w = 7.7 cm
11 × 7.7 = 84.7
Area = 84.7 cm²
2. That is a triangle, the area of a triangle is 1/2 × b (base) × h (height)
b = 12 ft
h = 4ft
1/2 × 12 × 4 = 1/2 × 48 = 24
Area = 24 cm²
3. That is a trapezoid, the area of a trapezoid is [tex]\frac{a (base) + b(base)}{2} h(height)[/tex]
a = 6 cm
b = 13 cm
h = 5cm
((6 + 13) ÷ 2) x 5
(19 ÷ 2) x 5 = 9.5 × 5 = 47.5
Area = 47.5 cm²
4. Same formula: 1/2 × b × h
b = 3 1/4 in
h = 4 in
1/2 × 3 1/4 × 4 = 1/2 × 13/4 × 4
1/2 × 13 = 6.5
Area = 6.5 in²
Hope I helped!
In the equation, 23 + b= 456 the variable is what
What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224
Answer:
A) 8
Step-by-step explanation:
The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.
What is factor theorem?Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).
To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).
∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.
f(3) = (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.
f(3) = 81 + 0 - 45 - 18.
f(3) = 18.
So, the remainder is 18.
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Solve the quadratic equation.
3x^2=81
Answer:
3x^2=81
x²=81/3
x=√27=3√3
Step-by-step explanation:
3x²=81
With this we have to square root both sides to find the value of x.
[tex] \sqrt{3 {x}^{2} } = \sqrt{81} [/tex]
So the x will cancel the square root sign so;
[tex]3x = \sqrt{81} [/tex]
And now we have to find the square root of 81 which is 9, because when we multiply 9 by 9 we are going to be get 81 so the square of 9 is 81 and the square root of 81 is 9
So;
[tex]3x = 9[/tex]
And then we divide both sides by 3 to find the value of x ;
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex]x = \frac{9}{3} [/tex]
[tex]x = 3[/tex]