Answer:
You did not write the equations correctly, well I will help you out with it
if you mean:
x+y=10 and
3x-y=2
then the answer would be o(3,7)
X^(2) + 6x - 9 = 0
solve by completing the square
write in (x+h)^2 = k form
Step-by-step explanation:
[tex]{x}^{2} + 6x - 9 = 0[/tex]
ADDING 18 ON BOTH SIDES[tex] { x }^{2} + 6x - 9 + 18 = 0 + 18[/tex]
[tex] {x}^{2} + 6x + 9 = 18[/tex]
[tex] {(x)}^{2} + 2(x)(3) + {(3)}^{2} = 18[/tex]
[tex] {(x + 3)}^{2} = 18[/tex]
651 x 5 porfavor ayudenme SIN CALCULADORA - please help me NO CALCULATOR
Answer:
3,255
Step-by-step explanation:
,
I need help with this please.
Is this triangle acute, right or obtuse?
Triangle
Acute
Obtuse
Right
Answer:
ill say acute
Step-by-step explanation:
if im wrong tell me but if im not pls mark brainllest!
Answer:
This triangle is Acute.
Step-by-step explanation:
To figure this out you add the length of the two smaller sides if the sum is greater than the longest side then the answer is Acute. I really hope this helps have a wonderful day!
The pentagons ABCDE and PQRST are similar.
Find the length x of ST.
D
S
2
4.
A
4.8
P
E
4.8
T
13
3.6
C
5
B
R
6
O
The value of x, which is the length of ST in the given similar polygons is: 2.4.
What are Similar Shapes?If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.
Thus, since both pentagons are similar, we would have:
CB/RQ = DE/ST
Plug in the values
5/6 = 2/x
Cross multiply
x = (6 × 2)/5
x = 12/5
x = 2.4
Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.
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Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges? a. $730.08 b. $366.49 c. $1,028.72 d. $266.76 please select the best answer from the choices provided a b c d
If Dana paid a total of $18,321.60, then the amount that she paid for in service charges will be $730.08
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
For service charge
[tex]\rm Pv = PMT[(1 - (1 + (r/k))^{-kn}) / (r/k)][/tex]
Where;
Pv is the amount of the loan = $15400
PMT is monthly payment
R is interest rate = 6.68% = 0.0668
K is number of times compounded monthly = 12
N is time = 4years
PMT the subject of the formula gives
[tex]PMT = Pv/ [(1 - (1 + (r/k))^{-kn}) /(r/k)][/tex]
PMT = 15,400 ÷ ((1 − (1 + 0.0668 ÷ 12)^(−12 × 4)) ÷ (0.0668 ÷ 12))
PMT = 366.49
Thus, the total amount paid
A = 366.49 × 12months × 4years
A = $17,591.52
Thus, the Service charge is
S.C = 18,321.60 − 17,591.52
S.C = $730.08
Read more about Compound interest;
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find the area figer
a 14
b 50
c 60
d 64
Answer:
64 cm²
Right corner rectangle:
Length * Width2 * 714 cm²Bottom rectangle:
Length * Width10 * 550 cm²Together:
50 cm² + 14 cm²64 cm²Answer:
d. 64 cm²
Step-by-step explanation:
Separate the shape into two rectangles (see attached image).
Formula
Area of a rectangle = width × length
Rectangle 1
Area = 2 × 12
= 24 cm²
Rectangle 2
Area = 5 × (10 - 2)
= 5 × 8
= 40 cm²
Total Area
Total area = Area of Rectangle 1 + Area of Rectangle 2
= 24 + 40
= 64 cm²
What is the numerical expression for 1/4
Answer:
1/4=0.25
Step-by-step explanation:
1/4=25/100
write that as a decimal (numerical expression) its 0.25
if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?
Answer:
1/2
Step-by-step explanation:
the probability of the die rolling an even number = the probability of the die rolling an odd number =1/2
Let us name these 2 dice as A and B
One die can roll an even and the other can roll an odd, in the following cases
A rolls even and B rolls odd. The probability of this happening =1/2×1/2
A rolls odd and B rolls even. The probability of this happening =1/2×1/2
∴ The required probability
=1/2×1/2+1/2×1/2
=1/4+1/4
=1/2
If x2 mx m is a perfect-square trinomial, which equation must be true? x2 mx m = (x – 1)2 x2 mx m = (x 1)2 x2 mx m = (x 2)2 x2 mx m = (x 4)2
An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation [tex]m^2+2m[/tex]. Since there is only one value that can satisfy this equation that is 2.
Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
Learn more about Expression:
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4
Select the correct answer.
Which expression is equivalent to the given expression?
3x2 + 5x – 7(x2 + 4)
-
O A.
x2 + 28
4
OB. x2 + 4
OC. -4x2 + 5x – 28
ОС
C
Answer:
C. -4x² + 5x - 28
Step-by-step explanation:
1. Expand -7(x² + 4):
-7x² - 28
3x² + 5x -7x² - 28
2. Group like terms:
-4x² + 5x -28
hope this helps :)
From the top of a building 37 feet high, the angle of depression to a car stopped on the ground is 19 degrees. What is the distance from the car to the base of the building?
The distance from the car to the base of the building is 107.46 feet
Angle of elevation and depressionFrom the question We are given the following information
Angle of depression
Height of the building H = 37 feet
Required
distance from the car to the base of the building
Using the SOH CAH TOA identity
tan 19 = opp/hyp
tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46
Hence the distance from the car to the base of the building is 107.46 feet
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Can someone help me with this problem.?
Answer:
B -- Recipe 2 (Gluten-Free)
Step-by-step explanation:
Recipe 1
5 / 16 = 0.3125
Recipe 2
3 / 8 = 0.375
Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.
Answer:
Your answer would be:
B.) The gluten-free batch has the stronger butterscotch
Regular batch:
5 / 21
5 / 21 = 25 / 110
Gluten-free batch:
3 / 11
3 / 11 = 30 / 110
Solution:
30 / 110 > 25 / 110
In conclusion, the gluten-free batch has the stronger butterscotch.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I NEED HELP PLSSSSS I HVA ENO TIME LEFT
Answer:
x=6
Step-by-step explanation:
FG is similar to MN just like GH is similar to NP. GH is 20, which is double NP,10. Then, MN should be half of FG, 12, so 6 is your answer.
Please help me I can’t figure it out
Answer:
Your answer is 4
Step-by-step explanation:
(52 - 2(2)) / (9 + 3)
(52 - 4) / (9 + 3)
48 / 12 = 4
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]192cm^{2}[/tex]
Step-by-step explanation:
[tex]A = \frac{1}{2} bh[/tex]
We know that b is the measurement of the base, 12, and h is the height of the cone, 32. Now we can simply insert those numbers into the equation and solve it.
[tex]A = \frac{1}{2} (12*32)\\\\A = \frac{1}{2} (384)\\\\A = \frac{384}{2} \\\\A = 192[/tex]
Please help me with this question. Thank you
Answer:
9.
Step-by-step explanation:
6 9 12 15:- multiplying by 3.
Answer:
B) 9
Step-by-step explanation:
When looking in both the horizontal and vertical direction of the missing space, we can see that the difference between the two numbers, 12 and 15, is 3.
15 - 12 = 3
Using this, we can see that each space on the second row and second column change by 3. Therefore, when looking at the missing space in the sequence, we can figure out that it is 9 by adding 3 to 6.
What is mZRST in degrees? O 78° O 84° O 120° O 156°
Answer:
rst = ust + usr
6x+12 = 78 + 3x - 12
3x = 54
3x+66 = 54 + 66
3x +66= 120
thus rst = 120
The measure of angle ∠RST in degree is 156°
What is measure of an angle?The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.
Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°
Now, ∠RSU+UST=∠RST
Putting the values of ∠RST and ∠UST we get,
78 + (3x - 12) = 6x + 12
78 + 3x - 12 - 6x - 12 = 0
54 - 3x = 0
3x = 54
So, x = 54/3=18
Therefore, (6x + 12)°=(6×18 + 12)°
=(144 + 12)°
=156°
Hence the measure of angle ∠RST is 156°
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Can someone help me with this please
y – 6 ≥ 12
Doesn’t it tell you the hight of the base I do not understand.
Answer:
Height of base (x) is 9cm exact
Step-by-step explanation:
A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
Answer: 11.25 ft³
Step-by-step explanation:
We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.
V = L * W * H
V = 2.5 * 3 * 1.5
V = 11.25 ft³
The volume of the rectangular prism is 11.25 ft³.
8
5.1
What is the area of the parallelogram?
(Please my geometry is due tomorrow an I haven’t even started yet)
Answer:
s the answer is 40
n
Step-by-step explanation:
a the formula is A=bh
p so 8*5=40
dsan168
julie planned to walk 35 miles a week. On Monday and Wednesday she walked 5 miles each. tuesday and thursday she walked 3 miles each. friday she walked 2 miles, saturday she walked 7 miles. and sunday she walked 4 miles. she failed to reach her goal. what was julie's approximate percent error?
Answer:
11%.
Step-by-step explanation:
Total miles walked = 5+5+3+3 +2+7+4 = 29.
%age error = [(35-29)/35] * 100
= 4/35 * 100
= 11%.
=
If f(x) = 3x 2 and g(x) = x2 1, which expression is equivalent to (f circle g) (x)? (3x 2)(x 2 1) 3x 2 1 2 (3x 2)2 1 3(x 2 1) 2
The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.
What is a factor?A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,
The given expression is;
[tex]f(x) = 3x + 2 \\\\ g(x) = x_2 + 1[/tex]
[tex](f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1[/tex]
The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.
To learn more about the factors refer to the link;
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What is 5/8 times 1/2
Answer:
5/16
Step-by-step explanation:
When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.
So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16
What is the factored form of x2 – x – 2? (x – 2)(x 1) (x 2)(x 1) (x – 2)(x – 1) (x 2)(x – 1)
A quadratic equation is an equation whose leading coefficient is of the second degree. The factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
The factored form of the quadratic equation can be done in the following manner,
[tex]x^2-x-2\\\\= x^2-2x+x-2\\\\=x(x-2)+(x-2)\\\\=(x+1)(x-2)[/tex]
Thus, the factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
Learn more about Quadratic Equations:
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a rectangle and a square have equal area.If the length of rectangle is 25 cm and breadth is 16 cm. Find the perimeter of the square.
answer:80cm
Amira is planning to plant a new food forest with papaya guava and banana trees she wants to plant a total of 36 trees in the forest and select 18 of them to be the buyer none of them to be guava she says that they're made in 25% of the forest will be banana trees is she correct? Explain.
Answer:
No
Step-by-step explanation:
If 18 are papaya or banana and none are guava then the remaining two trees would split the 36 50-50
An object moves at a speed of 20 yards per second.
What is the object's speed, in feet per second?
(1 yard = 3 feet)
A) 17
B) 23
C) 50
D) 60
Let's see
[tex]\\ \rm\Rrightarrow speed=20yd/s[/tex]
See unit given to change is ft/sSo only numerator we need to change[tex]\\ \rm\Rrightarrow Speed=20(3)=60ft/s[/tex]
Option D
Please answer this for me , well i need to make sure my answer is right.
Step-by-step explanation:
just follow PEMDAS trust me this will be a lifesaver