A = x * x = x^2
B = 6 * x = 6x
C = 8 * x = 8x
D = 6 * 8 = 48
So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =
x^2 + 14x + 48
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
x=-9/10
Step-by-step explanation:
2x+8x+16=7
Step 1: Simplify both sides of the equation.
2x+8x+16=7
(2x+8x)+(16)=7(Combine Like Terms)
10x+16=7
10x+16=7
Step 2: Subtract 16 from both sides.
10x+16−16=7−16
10x=−9
Step 3: Divide both sides by 10.
10x/10
=
−9/10
x=-9/10
Answer:
x = - 4 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
x² + 8x + 16 = 7 ( subtract 16 from both sides )
x² + 8x = - 9
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(4)x + 16 = - 9 + 16
(x + 4)² = 7 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )
x = - 4 ± [tex]\sqrt{7}[/tex]
Then
solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]
help please on all of these
the answer is on the picture
The expression x^2 - 10x + 24 is equivalent to
Answer:
[tex](x−6)(x−4)[/tex]
Step-by-step explanation:
[tex]x^2 - 10x + 24[/tex]
[tex] {x}^{2} −6x−4x+24[/tex]
[tex]x(x−6)−4(x−6)[/tex]
[tex](x−6)(x−4)[/tex]
Hope it is helpful...Answer:
(x - 4 )(x - 6 )
Step-by-step explanation:
[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]
6. The diagram on the right shows right-angled triangles POR
and PRS. Given that tan 0 =
3
4
in em, the length of
(a) PR
(b) RS
Q
9 cm
R
Answer:
The answer is below
Step-by-step explanation:
Trigonometric ratios shows the relationship between the sides of a right angled triangle and its angles. Some trigonometric ratios are:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent.
In triangle PQR:
tanθ = QR / PQ
substituting gives:
3/4 = 9 / PQ
PQ = 9 * 4 / 3 = 12 cm
Applying Pythagoras in triangle PQR gives:
PR² = PQ² + QR²
PR² = 12² + 9²
PR² = 144 + 81 = 225
PR = 15 cm
Also in triangle PRS:
PS = (5/3)PR = (5/3)*15 = 25 cm
PS² = PR² + RS²
25² = 15² + RS²
625 = 225 + RS²
RS² = 400
RS = 20 cm
help me with this please
Answer:
You would choose Merry Berry Fruit Punch.
Step-by-step explanation:
We need to see the ration of fruit to water. To do this we need to divide the concentrate by the water.
Tropic Fresh Fruit Punch: 10/22 or 5/11
Merry Berry Fruit Punch: 6/13
We see that Tropic Fresh Fruit Punch has a ratio of 5/11 while Merry Berry Fruit Punch has a ratio of 6/13. When we have a common denominater, we can see the difference easier.
Tropic Fresh Fruit Punch: 65/143
Merry Berry Fruit Punch: 66/143
A car left the house traveling north at 10 A.M. Another car left the house traveling south two hours later. If the cars traveled at the same rate and were 550 miles apart at 4 P.M , what was the rate of each car.
Answer:
55 mph
Step-by-step explanation:
Which is the graph of g(x) = [x+3]?
Which transformation performed on Triangle PQR will create an image Triangle P'Q'R' contained entirely in Quadrant II?
A
a counter-clockwise rotation of 90 degrees about the origin
B
a reflection over the x-axis
C
a reflection over the y-axis
D
a translation of 2 units to the left
What happens if simultaneous Equations have two of the same variable like below? How would I solve it?
6A + 4B + 5C = 390
6A + 4B + 5.75C = 405
Answer:
C = 20
Step-by-step explanation:
What happens if simultaneous Equations have two of the same variable like below? How would I solve it?
6A + 4B + 5C = 390
6A + 4B + 5.75C = 405
Step 1
We solve for C first
6A + 4B + 5C = 390....Equation 1
6A + 4B + 5.75C = 405... Equation 2
We substract Equation 1 from Equation 2
0.75C = 15
C = 15/0.75
C = 20
If a line has a slope of 3, what is the slope of a line perpendicular to it?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
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]
Here m = 3 , then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]
What is the direct variation between x and y when x=7 and y=3 1/2?
Answer:
[tex]{ \tt{y \: \alpha \: x }} \\ { \tt{y = kx}} \\ \\ { \bf{3 \frac{1}{2} = k \times 7 }} \\ { \bf{k = \frac{1}{2} }} \\ \\ { \tt{y = \frac{1}{2}x }} \\ \\ { \tt{y = 0.5x}}[/tex]
Which of the following steps were applied to ABCD to obtain A'B'C'D
Answer:
B. 3 units right and 4 units up
The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Translation applied to ABCD to obtain A'B'C'D.
Now, We get;
Coordinate of A = (2, 3)
Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)
Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
Learn more about the transformation visit:
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PLEASE HELP Assume the line of best fit for a data set is given by y = 32x+ 25. What data
points are predicted by the line of best fit? Check all that apply.
A. (9,326)
B. (10,345)
C. (7,224)
D. (6,217)
Answer:
B
Step-by-step explanation:
the answer is B
If you substitute 10 in the equation
32(9)+25=345
Answer:
B and D
Step-by-step explanation:
Substitute the values in y = 32x+ 25
A. 9, 326
326=32(9)+25
326 don't equal to 315
A is not
B. 10, 345
345=32(10)+25
345=345
B is a point on the line of best fit.
C. (7,224)
244= 32(7)+ 25
244 don't equal to 249
D. (6,217)
217= 32(6)+ 25
217=217
D is a point on the line of best fit.
Brainliest please
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³
Rearrange the formula to make x the subject.
y = x -5
Answer:
[tex]x=y+5[/tex]
Step-by-step explanation:
[tex]y=x-5[/tex]
[tex]y+5=x[/tex]
[tex]x=y+5[/tex]
What is v6/v5 in simplest radical form?
Answer: [tex]\sqrt{30}/5[/tex]
Step-by-step explanation:
You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the [tex]\sqrt{5}[/tex].
Look at the image below for further explanation
Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7
Answer:
[tex]A \approx 1.488[/tex]
Step-by-step explanation:
Por definición de razones trigonométricas, tenemos las siguientes identidades:
[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)
Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].
De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:
[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]
[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]
[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]
[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]
Por último, calculemos [tex]A[/tex]:
[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]
[tex]A \approx 1.488[/tex]
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of C'be?
5
00
NO
A
D
1
-7 -6 -5
4
-3
1
2
3
4
-2 -1 0
-1
C' = (1, [?])
-2
Given:
The rule of translation is:
[tex](x+3,y-2)[/tex]
The trapezoid ABCD on the graph.
To find:
The coordinates of the point C'.
Solution:
From the given graph, it is clear that the coordinates of point C are (-2,4).
The rule of translation is:
[tex](x,y)\to (x+3,y-2)[/tex]
Using this rule of translation, we get
[tex]C(-2,4)\to C'(-2+3,4-2)[/tex]
[tex]C(-2,4)\to C'(1,2)[/tex]
Therefore, the coordinates of the point C' are (1,2).
Rami is solving the equation for x .
–6x – 1 = 5
–6x – 1 Empty square 1 = (5 Empty square 1)
–6x = 6
–6x Empty circle – 6 = 6 Empty circle –6
x = –1
Which operation symbols should Rami write in the Empty squareand the Empty circle?
Answer:
Empty square = +
Empty Circle = ÷
Step-by-step explanation:
In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...
-6x-1=5
-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)
-6x = 6
-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)
so... x= -1
Answer: Option B is your correct answer.
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
solve it : -
[tex] \sqrt{27 \times3 } [/tex]
_______
Answer:
9
Step-by-step explanation:
sqrt(27*3)
sqrt(81)
sqrt(9*9)
9
Answer:
9
Step-by-step explanation:
27 * 3 = 81
√81 = 9
Select the elements in H.
Let H = {cube numbers}
A-8
B-49
C-3
D-125
E-1
F-100
G-25
H-12
Answer:
H={8,125,1}
Step by step explanation:
8 is the cube of 2125 is the cube of 51 is the cube of 1What else would need to be congruent to show that ABC= DEF by ASA?
B
E
10
10
45
A
с
45
F
O A. ZBE ZE
B. AC = DF
C. ZA ZD
O D. BC = EF
Answer:
Option A
then you would have an angle, a side and another angle (ASA) next to each other
Opt.B would be a second sude (SAS)
Opt.C is already given
Opt.D seems to be like (A-S-S). no pun intended.
The additional information need to be added to show the given triangles congruent is angle B = angle E
What are congruent triangles?Triangles are said to be congruent if their corresponding sides and angles are congruent.
Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,
We need to find one more reason to make them congruent by ASA rule,
In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,
Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.
Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E
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The record for the largest scoop of ice cream was made in Wisconsin. Thebscoop of ice cream was 3,010 pounds! How many ounces of ice cream is that?
Answer:
48160
Step-by-step explanation:
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!
i only need these 2 and I’m done with math.!!!
Answer:
663902.4
11 pavers
Step-by-step explanation:
V = l × w × h
V = 164 × 82 × 6.6
V =
**********************************
The Swimming pool is a
rectangular prism. Write
the formula for its volume
and calculate it.
l...length of this prism
w...width of this prism
h...height of this prism
V ...volume
*********************************
To know how many
gallons are in the pool,
multiply the volume by
the number of gallons
in gal...number of
gallons
********************************
gal = 88757 × 7.48
gal = 663902.4
********************************
First to not confuse
anybody on this, we need
to convert the meters into
centimeters.
Rule: 1 m = 100 cm
3 m = 300 cm
2.5 m = 250 cm
********************************
so for every meter, we
multiply 100 to get the
amount of centimeters
********************************
so then add the
centimeters of 3 m and
2.5 m
Answer: 550 cm
so then now compare
the measurings...
3 m = 300 cm
50cm × y = 300cm
50cm × 6 = 300cm
y = 6
2.5 m = 250 cm
50cm × y = 250cm
50cm × 5 = 250cm
y = 5
6 + 5 = 11 pavers
so Oliver will need 11 pavers
pls answer this question correctly pls .
Answer:
Step-by-step explanation:
Fraction Decimal Percentage
[tex]\frac{19}{100}[/tex] [tex]0.19[/tex] [tex]19 \%[/tex]
[tex]\frac{3}{10}[/tex] [tex]0.3[/tex] [tex]3 0\%[/tex]
[tex]\frac{49}{100}[/tex] [tex]0.49[/tex] [tex]49 \%[/tex]
[tex]\frac{7}{100}[/tex] [tex]0.07[/tex] [tex]7 \%[/tex]
Answer:
First row: 19%
Decimal for 3/10: 0.3
Fraction for 0.49: 49/100
Percentage for 0.49: 49%
Decimal for 7/100: 0.07
Fraction for 7/100: 7&
Also 3% should be 30%. Just to point that out :)
If f(x) = 2x-5, then f(4) is ___.
Answer:
3
Step-by-step explanation:
f(x) = 2x-5
Let x = 4
f(4) = 2*4 - 5
Multiply
f(4) = 8 -5
Subtract
f(4) = 3
A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?
Answer:
2700÷9=300
300×2=600liters yellow paint
[tex] \frac{1.107}{123} \times \frac{1.998}{333} = [/tex]
Answer:
45Step-by-step explanation:
[tex]\frac{1.107}{123} \times \frac{1.998}{333} = [/tex]
[tex] = > 9 \times 6[/tex]
[tex] = 45[/tex]
Answer:
Step-by-step explanation:
[tex]\frac{1.107}{123}*\frac{1.998}{333}= 0.009 * 0.006 = 0.000054[/tex]
1107÷ 123 = 9
The dividend has 3 decimal places. So, take 3 decimal places from the right towards left in the result 0.009
1.107 ÷ 123 = 0.0009
0.009 * 0.006
First multiply 9 * 6 = 54
Now, count the number of decimal place in the multiplicands. 0.009 has 3 decimal places and 0.006 has 3 decimal places. So totally, 3+ 3 = 6 decimal places in the result
0.009 * 0.006 = 0.000054