Answer:
x
2
+
3
x
−
7
=
0
Add
7
to both sides of the equation.
x
2
+
3
x
=
7
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
Add
7
to both sides of the equation.
x
2
+
3
x
=
7(
3
2
)
2
Add the term to each side of the equation.
x
2
+
3
x
+
(
3
2
)
2
=
7
+
(
3
2
)
2
Simplify the equation.
Tap for more steps...
x
2
+
3
x
+
9
4
=
37
4
Factor the perfect trinomial square into
(
x
+
3
2
)
2
.
(
x
+
3
2
)
2
=
37
4
Solve the equation for
x
.
Tap for more steps...
x
=
±
√
37
2
−
3
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
37
2
−
3
2
Decimal Form:
x
=
1.5413812
,
−
4.54138126
Step-by-step explanation:
Answer:x^3-2x^2+4x+7
Step-by-step explanation:
12
11
84
12
84
Scale Factor=
x =
A=8x+78 B=2x+114 solve for x and then find the measure of B
Answer:
x= (A/8 - 39/4)
B= (A/4 + 189/2)
Step-by-step explanation:
You simplify 2(A/8 - 39/4) +144
Answer:
126
Step-by-step explanation:
please help me out thank you so much :)
7+7
Answer:
14
Step-by-step explanation:
7+7
Calculate.
7+7 = 14
Which of the following equations will produce the graph shown below?
Answer:
B :)
Step-by-step explanation:
Apex
The two triangles in the graphic below can be proven congruent by:
Answer:
AAS
Step-by-step explanation:
12. Given y-3 = (x + 1), convert it to standard form.
Answer:
x - y = -4
Step-by-step explanation:
Standard Form: Ax + By = C
A is non-negative
Step 1: Define equation
y - 3 = (x + 1)
Step 2: Solve to Standard Form
Add 3 to both sides: y = x + 4Subtract x on both sides: y - x = 4Factor out negative: -(x - y) = 4Divide by -1 on both sides: x - y = -4Which statement that describes show that figure a is congruent to figure b
Answer:
E.
Step-by-step explanation:
Translation: slide of the shape or figure, it does NOT change its shape, size, and form, count how many units the shape moves.
Reflection: flip of the shape, does NOT change its shape, size, and form, either can be flipped or reflected over the x or y axis.
Rotation: turn of the shape, does NOT change its shape, size, and form, either can be rotated counter clock wise left, (opposite of a clock direction), or clockwise, the direction a clock moves right. It can also be rotated 90° (1 turn), 180° (2 turns), 270° (3 turns) or 360° (4 turns). In highschool, you will get introduced to more degrees of rotation, this is just middle school level.
Write the equation of the piecewise function. Algebra 2
Answer:
C. [tex]y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}[/tex]
D. [tex]y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}[/tex]
Step-by-step explanation:
C. The line to the left of x=0 has a slope of -1 and a y-intercept of 2. That portion of the function does not include x=0. The line to the right of x=0 has a slope of -3 and a y-intercept of 5. That portion of the function includes the case x=0.
[tex]\boxed{y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}}[/tex]
__
D. The line to the left of x=-3 is y=-2; the line to the right of there is y=4. The function is not defined at x=-3.
[tex]\boxed{y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}}[/tex]
Answer the following question from the picture:
Answer:
x°= 67°. it's from 180-130 then it's added with 63 then again substrated from 180.
Y°= 63°. y° same as 63° below.
z°= 32°. 85 is added with y° which is 148 and it's substrate from 180 which is 32°.
Find the slope of each line.
m
(Use the / to write your answer as a fraction. If your answer is a negative fraction, put the negative first before the fraction. For example, type
-4/7 instead of 41.7. Keep your answer as a fraction. Do not change it to a decimal)
Which is the larger value below?
A) 9.54 x 10-3
B) 6.54 x 10-4
Answer:
A
Step-by-step explanation:
a
10-3=7 , so,
9.54 * 7 = 92.4
b
10-4=6
6.54*10 = 61.4
Answer:
A
Step-by-step explanation:
because you need to do Multiplication after subtraction
6 +(-1)=math please help
Answer:
5
Step-by-step explanation:
[tex]Steps\\\\6+\left(-1\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=6-1\\\\\mathrm{Subtract\:the\:numbers:}\:6-1=5\\=5[/tex]
Select the equivalent expression.
Answer:
The answer is B
Step-by-step explanation:
This is because when you distribute the -4 to 9^6 and 7^-24 you will get 9^-24 and 7^36. Then, you can move the 7^-24 to the denominator because of the negative exponent rule.
PS: ^ means to the power of
on a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give answer t 1 decimal place
17caslan19 avatar
the base of the tringle would be 8 and the height would be 7 use pythagorus
Answer:
≈ 10.6 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = p(3, - 1) and (x₂, y₂ ) = q(- 5, 6)
d = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+ 7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex] ≈ 10.6 ( to 1 dec. place )
please help me with this question
Step-by-step explanation:
You can solve this with kinematics or with energy.
Using kinematics, given:
v₀ = 600 m/s
v = 200 m/s
Δx = 0.05 m
Find: a
v² = v₀² + 2aΔx
(200 m/s)² = (600 m/s)² + 2a (0.05 m)
a = -3,200,000 m/s²
Given:
v₀ = 600 m/s
v = 0 m/s
a = -3,200,000 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)² = (600 m/s)² + 2(-3,200,000 m/s²) Δx
Δx = 0.05625 m
So the bullet needs to travel an additional 0.00625 m, or 0.625 cm.
Using energy, the work done on the bullet equals the change in kinetic energy.
ΔKE = W
½ mv² − ½ mv₀² = Fd
½ m (200 m/s)² − ½ m (600 m/s)² = F (0.05 m)
(-160,000 m²/s²) m = F (0.05 m)
F/m = -3,200,000 m/s²
½ mv² − ½ mv₀² = Fd
½ v² − ½ v₀² = (F/m) d
½ (0 m/s)² − ½ (600 m/s)² = (-3,200,000 m/s²) d
d = 0.05625 m
A number to the 8th power divided by the same number to the 6th power equals 64. What is the number?
The number is
Answer:
4
Step-by-step explanation:
Let the number = X
You have X^8 / X^5
When dividing two numbers with powers, Simplify the expression by subtracting the powers.
8-5=3
so X^8 / X^5 becomes x^3
Now you have x^3 = 64
To find x take the cubic root of 64:
X = ∛64
X = 4
The number is 4
The side of a square is 15 millimeters. What is the perimeter?
Answer:
60 millimeters
Step-by-step explanation:
15(4)= 60
Answer:
15+15+15+15=60
Step-by-step explanation:
another way and it's quicker is 15*4
how do i solve
3(5x + 2) = 2(3-6)
Step-by-step explanation:
Hey there! Down here :D
[tex]3(5x + 2) = 2(3 - 6)[/tex]
[tex]15x + 6 = 2( - 3)[/tex]
[tex]15x = - 12[/tex]
[tex]x = \frac{ - 12}{15} [/tex]
is the required answer.
Hope It helps :)
WILL GIVE BRAINLIEST!
PRECALCULUS
Answer: heck no i dont knwo dis lmxo
Step-by-step explanation:
what realization did you have with this lesson
Answer:
no question..............
ANSWER ONE AND TWO ILL GIVE YOU BRAINLIST!!!
Step-by-step explanation:
1.
Radius of of the table cloth = diameter/2 = 30/2 = 15 inches
Area of the table cloth
[tex] A = \pi r^2 \\\\
= \pi (30)^2 \\\\
= \pi\times 900\\\\
= 900\pi [/tex]
Area of the table cloth [tex] = 900\pi\: inches^2 [/tex]
2.
Radius of circular garden = 3 m
Area of circular garden
[tex] A = \pi r^2 \\\\
= \pi (3)^2 \\\\
=\pi\times 9\\\\
=9\pi [/tex]
Area of circular garden [tex] =9\pi\: m^2 [/tex]
Fiona was thinking of a number. Fiona adds 18 to it, then doubles it and gets an answer of 40.1. What was the original number?
Answer:
2.05,i need 20 characters so here lol
Solve each for the missing variable
1. 9x + 15 = 96
Answer:
81
Step-by-step explanation:
my friend theres nothing on the world that will say that 96 - 15 = 9x
because 96-15= 81 and 81 + 15 equals 96
When an angle is reflected across a line, what happens to its measure?
A It remains the same
B It doubles
C It halves
D Not enough information
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to make a profit. • It costs $10 in labor and materials to make each of his widgets. • His rent each month for his factory is $4,000. He sells each widget for $25. What is the smallest number of widgets Bruce needs to sell each month to make a profit?
Answer:
Bruce needs to sell 267 widgets each month to make a profit.
Step-by-step explanation:
From the information given, you can write that the cost of the monthly rent plus the cost in labor and materials to make each widget for the number of widgets is equal to the amount of sales:
10x +4000 = 25x
Now, you can solve for x:
4000 =25x-10x
4000=15x
x= 266.67→267
According to this, the answer is that Bruce needs to sell 267 widgets each month to make a profit.
What is the value of the expression below if x = 4 and y = 3
Answer:99
Step-by-step explanation:
Step-by-step explanation:
Ben is starting a business to wash his neighbors cars. He will earn $9.50 per car he washes, plus an additional $50 his mom gave him as a bonus. If 'y' represents total profit, and 'x' represents the cars he washes, what equation can model Ben's profit per car he washes?
A. y = 50x + 9.50
B. y = 9.50x + 50
C. y = 59.50
D. y=9.50% - 50
Answer:
its b
Step-by-step explanation:
y being the total equals 9.50 times x beacause is how many cars he washed and the plus 50 is the money his mom gave him
Answer:
b
Step-by-step explanation:
-13 <-x+5<8 is -21 True or false?
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-8,1) and (-4,-5)
Identify the like terms:
3t2 - 2t2 + 6 +12
Answer:
3t2 and -2t2. and 6 and 12