Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520
Answer:
the answer is c
Step-by-step explanation:
The topic is about secant tangent angles
Answer:
x = 71
Step-by-step explanation:
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x = [tex]\frac{1}{2}[/tex] (92 + 50) = 0.5 × 142 = 71
A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the garden by doubling only the width of the current garden how much fencing will the gardener need to enclose a new garden?
Answer:
105 yards
Step-by-step explanation:
The other side is Width = 374/17 = 22.
So, the new width is 44 ( and the length is 17/2).
Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.
So, 105 yards.
Mark me as Brainliest if this is correct! I really appreciate it! :D
The perimeter of the new garden is 105 yards
The area of a rectangle is expressed as:
A = lww = A/l
w = 374/17
w = 22 yards
The perimeter of the new garden if the width is doubled is expressed as:
P = 2(l + w)
P = 2(17/2 + 2(22))
P = 17 + 88
P = 105 yards
Hence the perimeter of the new garden is 105 yards
Learn more on perimeter of rectangle here: https://brainly.com/question/19819849
help me please. i will give points to whoever helps me
Answer:
7x+3=8x+1[corresponding angle are equal]
3-1=8x-7x
x=2 is a required answer.
Answer:
[tex]7x + 3 = 8x + 1[/tex]
[tex]x = 2[/tex]
Distributiv property of 4x(5+5)
Answer:
40
Step-by-step explanation:
first you would solve this in the order of operations
parenthesis first so, (5 + 5) is equal to ten
after the parenthesis you multiply so, 4 × 10 = 40
40 is your answer
Answer:
Expanding the bracket using the distributive Property
We have
4(5) + 4(5)
=20 + 20
=40
What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.
Answer:
√17 or 4.12 inches
Step-by-step explanation:
√9²-8²=√81-64=√17 inches
or 4.12 inches
what is the slope of the line that passes through the points (3,-20) and (5,8)?
Answer:
14
Step-by-step explanation:
The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.
PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84
Answer:
x =2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Use pythag to create your equation.
x^2+5^2=7^2
x=[tex]\sqrt{24}[/tex]
In simplest radical form: x =2[tex]\sqrt{6}[/tex]
PLEASSE HELP MEEE!!!!!!1
Answer:
2 cuts
Step-by-step explanation:
Get the height of the tree first
Using SOH CAH TOA identity;
Sin theta = opp/hyp
Sin 70 = /6
H = 6sin70
H = 6(0.9397)
H = 5.6381
Hence the height of the tree is 5.64m
Initial cut = 4m
Remaining height of trunk = 5.64 - 4 = 1.64
This means that he only need to make 2 cuts to cart the whole tree away
(6x2 -5x + 10) - (2x2 -x +13)
Answer:
-4x + 5 ?
sorry if wrong
Find the value of x and the measure of the angle labeled 3xº.
72°
3x
42°
30°
I really need help!!!!!!!
Answer:
x=10 3x= 30
Step-by-step explanation:
3x = 30 since the angles are vertical angles
3x/3 = 30/3
x = 10
Answer:
B
Step-by-step explanation:
Set up an equation:
30 = 3x
Divide both sides by 3:
10 = x
x = 10 degrees
Plug the value of x into the angle:
3 × 10
30 degrees
23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers
Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*1/a= 1
1* a/1= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
What are the solutions of the equation (x – 8)2 = 144?
Enter your answer as the correct values, separated by a comma, like this: 42,53
If your answer includes a fraction, use the / symbol.
enter it like this: 3/14
[tex]x = 80[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]
[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
How many ways are there to fill the four committee positions?
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Answer:
Donna will have to pay $12.60 for the roast
Step-by-step explanation:
I found this by doing 5.6 × 2.25 and that equals 12.6
pls mark me brainliest
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
7.
A. [tex]y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2[/tex]
B. [tex]y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2[/tex]
C. [tex]y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2[/tex]
D. [tex]y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2[/tex]
Answer:
D
Step-by-step explanation:
margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?
—————————————————
Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?
༆SOLUTION:—————————————————
[tex]\mathrm{N = 6×0.8 \: inch}[/tex]
[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]
If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!The ratio of tomatoes to red apples is 2: 5. If there are 20 tomatoes,
how many red apples are there?
please I need help I'm not good at ratio
Answer:
50 red apples
Step-by-step explanation:
Ratio: 2:5
Tomatoes: 20
20/2 = 10
5 x 10 = 50
There are 50 apples.
I don’t know how to do this
Answer:
x-10
Step-by-step explanation:
Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???
Answer:
(-4,-5)
Step-by-step explanation:
Given :
M ( x,y) C ( -2,-10)D (-6,0)[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2
[tex] \implies[/tex] M = ( -8/2 , -10/2 )
[tex] \implies[/tex] M = (-4 , -5)
Hence the midpoint is (-4,-5) .
Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2
Answer:
C. F × 2
Step-by-step explanation:
Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:
F × 2
PLEASE HELP, THANKS SO MUCH!! EXPLAIN UR ANSWER = BRAINLIEST
Answer:
2571.14 m^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5
V = 4/3 (3.14) (8.5)^3
= 2571.13666
Rounding to the nearest hundredth
= 2571.14 m^3
=================================================
Work Shown:
V = (4/3)*pi*r^3
V = (4/3)*3.14*(8.5)^3
V = 2571.13666666667 which is approximate
V = 2571.14
-------------
Notes:
The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14Please I need help and can you explain as well because I have to show my work
Answer:
b and c
Step-by-step explanation:
0.775 is bigger than .7 or .70
17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5
Hope this helped <3
R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?
Answer:
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in [tex]a * 10^b[/tex]
From the question, we have:
[tex]People = 4.46 * 10^9[/tex]
[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year
The number of breath is calculated by:
[tex]Overall = People * Breath[/tex]
So, we have:
[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]
Reorder
[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]
[tex]Overall = 37.464* 10^{9+6}[/tex]
[tex]Overall = 37.464* 10^{15}[/tex]
Using scientific notation [tex]a * 10^b[/tex];
The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]
So, we have:
[tex]Overall = 3.7464 * 10 * 10^{15[/tex]
[tex]Overall = 3.7464 * 10^{16[/tex]
By comparing the above with: [tex]a * 10^b[/tex]
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades
para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de
padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones
de ahorro:
Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.
Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.
Ayuda a los padres de familia de la promoción a elegir la mejor opción.
ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu
Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%
Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5
9514 1404 393
Answer:
3x -5y = -38
Step-by-step explanation:
The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.
given: 5x +3y = 5
perpendicular: 3x -5y = constant
At the given point, the constant is ...
3(-6) -5(4) = -18 -20 = -38
So, the desired equation is ...
3x -5y = -38
Can someone help me please
Answer:
The answer is 4
when did the united states get it independence
Answer:
4th July 1776
Step-by-step explanation:
4th July is marked as independence day
Unit 9 test: Trigonometry
What is the right answer to this problem?
Answer:
x = 10.5
Step-by-step explanation:
[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]
Answer:
Step-by-step explanation:
take 65 degree as reference angle
using cos rule
cos 65=adjacent/hypotenuse
0.42=x/25
0.42*25=x
10.5=x