Answer:
x^2+6x+6=0
Step-by-step explanation:
(x+2)^2=-x-2
(x+2)(x+2)=-x-2
x^2+4x+4=-x-2
+x +2=+x+2
x^2+6x+6=0
SOMEONE PLEASE HELP ME ASAP.. PLEASE HAVE ACCURATE ANSWERS
1)
2x - 3y = - 1
For y = x - 1
So,
2x - 3y = - 1, Subsitution
2x - 3(x - 1) = - 1
2x - 3x + 3 = - 1
- x + 3 = - 1
- x = - 1 - 3
- x = - 4
x = 4 ✔
yy = x - 1
y = 4 - 1
y = 3 ✔
So => HP = {x, y} = {4, 3}
=== Thanks ===
Simplify (-56) ÷ 7.
A. 9
B. -9
C. 8
D. -8
What is 11010²-1101²
Answer:
[tex]9909^2\\[/tex]
or
[tex]98188281[/tex]
What is the rate of change of the 2 points (6,9) and (15,16)
Answer:
9,7
Step-by-step explanation:
subtract 6 from 15 and 9 from 16
Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?
Answer:
90 more minutes
Step-by-step explanation:
108÷12=9
9x13=117
9x9=81
117-108=9
81+9=90 more minutes
Answer:
90
Step-by-step explanation:
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Answer:
3 miles
Step-by-step explanation:
122/2 is 61
64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.
so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average
Answer:
Tisha is faster than Latrell by 3 miles/hour
just did the math
In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain. Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation. What did you include in your response? Check all that apply. Both boys are correct. Both methods correctly use the properties of equality and inverse operations. Both methods isolate the variable on one side of the equals sign.
Answer:
Correct option is "Both boys are correct".
Step-by-step explanation:
The equation is:
6x - 2 = -4x + 2
Using Spencer's method:6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2
10x = 4
x = 0.40
Using Jeremiah's method:6x - 2 - 6x = -4x + 2 - 6x
- 2 = -10x + 2
10x = 4
x = 0.40
Correct option is "Both boys are correct".
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Speed = 24 km/h
Step-by-step explanation:
Speed = Distance / Time
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
Distance = 12 km
Time = 0.5 Hours
Speed = 12 / 0.5
Speed = 24 km/h
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
Use the divisibility rules to determine which of the following numbers 330 is divisible by. (Check all that apply.)
2
3
5
7
11
The numbers that divide 330 are 2, 3, 5 and 11.
How to find the divisibility for a given number?In order to find divisibility, there are certain rules for different numbers. If a number is divisible by two numbers then it is also divisible by their product.
The given number is 330.
The divisibility rules for the number given can be applied one by one as follows,
Divisibility for 2,
For a number to be divisible by 2 its unit digit must be 0, 2, 4, 6 or 8.
Thus, 330 is divisible by 2.
Divisibility for 3,
For a number to be divisible by 3 sum of the digits of the number must be divisible by 3.
Since sum of the digits of 330 is 6 which is divisible by 3, 330 is also divisible by 3.
Divisibility for 5,
A number should either end with 0 or 5 in order to be divisible by 5.
Thus, 330 is divisible by 5 as it ends with 0.
Divisibility for 7,
For a number to be divisible by 7, the digit at ones place multiplied by 2 and then subtracted from the remaining digits must be divisible by 7.
Here, in 330 this rule is applied as,
33 - 2 × 0 = 33
Since 33 is not divisible by 7, 330 is also not divisible.
Divisibility for 11,
The difference of the sum of the digits at even place to the odd place must either be zero or divisible by 11.
In 330, 3 + 0 - 3 = 0.
Thus, 330 is divisible by 11.
Hence, the given number 330 is divisible by 2, 3, 5 and 11.
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i need help asap!!!!!!!
please help no work needs to be shown
Answer:
I would say a 20, 30-ish degree angle, maybe 45 degrees, somewhere in that continuum
use place value reasoning and the first equation to compute the second quotient. 48.6÷30=1.62
48.6÷3=
Answer:
50 divided by 1
Step-by-step explanation:
this is the answer!!!!!
What is the sequence notation for: 10,14,18,22,
Answer:
4
Step-by-step explanation:
just Add four every time hopes it help : )
Which of the following is the correct equation of the line that is parallel to y=−1x−5, and has a y-intercept at (0,1)?
y=−1x+0y is equal to negative 1 x plus 0
y=1x+5y is equal to 1 x plus 5
y=−1x+1y is equal to negative 1 x plus 1
y=5x−1
Answer:
The answer is option 3.
Step-by-step explanation:
When both lines are parallel, they will have the same gradient. In a linear equation, y = mx + b where m represents gradient and b is y-intercept :
Let m = -1, b = 1
y = -1x + 1
Answer:
the answer is option 3 like the first person said. no trollin
Step-by-step explanation:
Please help it’s due now
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
y - 6x = 9
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b
add 6x on both sides
I need help on these problems please be serious
Answer:
1. 10
2. 10
3. 12
4. [tex]3\sqrt{14}[/tex] or 11.22497216
Step-by-step explanation:
1. [tex]a^{2}+b^{2} =c^{2}\\\\a^{2} = 8^{2} = 64\\b^{2} = 6^{2} = 36\\c^{2} = a^{2} + b^{2} = 64 + 36 = 100\\c = \sqrt{100} = 10[/tex]
2. [tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 24^{2} = 576\\c^{2} = 26^{2} = 676\\b^{2} = c^{2} - a^{2} = 676 - 576 = 100\\b = \sqrt{100} = 10[/tex]
3.[tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 5^{2} = 25\\c^{2} = 13^{2} = 169\\b^{2} = c^{2} - a^{2} = 169 - 25 = 144\\b = \sqrt{144} = 12[/tex]
4. [tex]c^{2}-b^{2}=a^{2}\\\\b^{2} = 11^{2} = 121\\c^{2} = \sqrt{137}^{2} = 137\\a^{2} = c^{2} - b^{2} = 137 - 11 = 126\\a = \sqrt{126} = 3\sqrt{14} = 11.22497216[/tex]
If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80
Answer:
(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)
=4^x +5 -2x +5
=4^x -2x +10
Step-by-step explanation:
help please
first one to answer or if correct will be marked brainliest
Answer:
for a its 4/6 and for b its 2/4
Step-by-step explanation:
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day.
Answer:
f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.
Step-by-step explanation
86 is the number of weeds at the starting point of the question.
8/7% each day, 7 being the total number of days in the week, the weekly growth 8%: 1 day is 8/7% growth or 1.14% rounded up to 1%
In the original equation the 8% growth was represented by 1.08
Substituting the weekly rate of 8% with the daily rate of 1%, or 1.08 with 1.01 the new function is:
f(x) = 86(1.01)^7x
This diagram represents a function named h. Which of the choices also represents the function, h?
Answer:
if this is on Imagine Math then its the first answer
Step-by-step explanation: got it right!
The correct choices to represents the function, h is shown in figure.
⇒ h (x) = 4x - 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
This diagram represents a function named h.
Now, We have;
The correct equation to represent the equation is,
h (x) = x × 4 + 9- 2)
h (x) = 4x - 2
Hence, We can draw the equation of line and find that the correct choices to represents the function, h
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The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
Write the expression 12p+48 as a product using GCF (greatest common factor) as one of the factors
Answer:
12(p+4)
Step-by-step explanation:
The greatest common factor of expressions is the highest divisor that can divide both expressions
The equivalent expression of 12p+48 is 12(p - 4)
The expression is given as:
[tex]\mathbf{12p + 48}[/tex]
Express 48 as 12 * 4
[tex]\mathbf{12p + 48 = 12p - 12 \times 4}[/tex]
Express 12p as 12 * p
[tex]\mathbf{12p + 48 = 12 \times p - 12 \times 4}[/tex]
Factor out 12 from the expression on the right-hand side
[tex]\mathbf{12p + 48 = 12 \times (p - 4)}[/tex]
Remove the product sign
[tex]\mathbf{12p + 48 = 12 (p - 4)}[/tex]
Hence, the equivalent expression is 12(p - 4)
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HURRY BEING TIMED
Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x + x + 0.5x + y + y – 2. Who is correct? Explain.
Answer:
both are correct
Step-by-step explanation:
both are correct because they're the same equation...Gabriels equation is just simplified. If you simplified his sisters equation, it would be equal to Gabriels equation
What is the inverse of the function f(x) = x - 9?
Answer:
F^-1(x) = x+9
Step-by-step explanation:
Hope this helps! Stay Safe!\
The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
First, let y = f(x)That is,
y = x - 9
Now, make x the subject of the equationTo do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
Now, rewrite as f⁻¹(x) by replacing y by xThat is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
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Graph this line using the slope and y-intercept
[tex]y = \frac{1}{4} x + 9[/tex]
Please show your work for points
Answer:
try your best
Step-by-step explanation:
What is the solution for the equation 4x - 10 = 2x? x =
(Input whole number only). (5 points)
Answer:
x=-5
Step-by-step explanation:
4x-2x = -10
2x = -10
x= -5
The solution for the equation 4x - 10 = 2x is x=-5.
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved as:-
4x + 10 = 2x
Take the variables in the same side and solve for the value of x.
4x-2x = -10
Subtract the term 2x from the term 4x to get the value of x.
2x = -10
Divide the number -10 by 2 to get the exact value of x.
x = -5
Therefore, the solution for the equation 4x - 10 = 2x is x=-5.
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What is the solution of 64 x 64 to the power of 2?
Answer:
16777216
Step-by-step explanation:
64 times 64 equals 4096. 4096 to the power of 2 is 16777216.
if a=3 and b=-2 find a+3b
Answer:
-3
Step-by-step explanation:
The formula is (3)+3(-2) and when you solve it it equals -3.
Answer:
-3
Step-by-step explanation:
3 + (3 x -2)
3 + (-6)
-3
In the diagram shown, it is known that segment RP is perpendicular to segment QS and segment RP bisects angle SRQ. If measure angle SRQ=104 degrees, then explain why measure angle S=38 degrees.
*attachment contains the missing diagram
Answer/Step-by-step explanation:
Given that RP ⟂ QS, <RPS is a right angle.
Therefore, m<RPS = 90°
Since RP bisects <SRQ, therefore m<PRS = ½ of m<SRQ.
Therefore:
m<PRS = ½*104°
m<PRS = 52°
m<S + m<RPS + m<PRS = 180° (sum of ∆)
m<S + 90° + 52° = 180° (substitution)
m<S + 142 = 180°
Subtract 142 from each side
m<S = 180° - 142°
m<S = 38°