Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
Simplify the expression below.
3(3x + 5) – 7x – 8
Answer:
2x+7
Step-by-step explanation:
help pls❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗
HELP PLLSS
92;69
work included!
Answer:
92/69 cannot be simplified
Step-by-step explanation:
what is 8029 times 89810
Answer:
721084490
Step-by-step explanation:
Figure EFGH is a trapezoid.
Trapezoid E F G H is shown. Sides E F and H G are parallel. Angle H is a right angle. Angle E is (9 x) degrees, angle F is (14 x) degrees, and angle G is (4 x) degrees.
What is the measure of angle F?
100o
130o
140o
150o
Answer:
B.
Step-by-step explanation: B.
Answer:
B.
Step-by-step explanation:
I need some help with geometry?
-3x+6<27?
Solving Linear Inequalities.
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
Which of the graphs below represents the solution set for d - 4 > -3?
Answer: C
Step-by-step explanation:
If x3 = 216, what is the value of x?
a. 6
b. 4
c. 9
d. 3
the answer is six
I'm sure
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
Can someone help me??? It's for extra credit
Answer:
-7 , -1Step-by-step explanation:
if the equation of line p is
4x+7y=20 then the equation of line q must be
-7 x +4y=15 because perpendicular lines have
slopes with a product of -1
CAN SOMEONE PLS HELP WITHT HSI ASAP
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Carla can fill five glasses with every soda 20 seconds complete the table using equivalent ratios
Answer:
5:20
12:48
11:44
Step-by-step explanation:
I just multiplied them by 4
use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height
Answer:
4
Step-by-step explanation:
Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME
Answer:
3x2y(3x2−2xy+y2) So C
Step-by-step explanation:
Arthur travels for 3 hours on the freeway. His average speed is 55 mi/hr. How far does he travel?
Answer:
He travels 165 miles
Step-by-step explanation:
3 × 55=165Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
The function f is defined by the following rule f(x) = 5x -5 Complete the function table. -5 -1 I 2 3 4
Answer:
x f(x)
-5 -30
-1 -10
2 5
3 10
4 15
Step-by-step explanation:
Let us solve the question
∵ The function f is defined by the rule f(x) = 5x - 5
∵ x = -5
→ Substitute x in f by -5 to find the value of f(-5)
∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30
∴ f(-5) = -30
∵ x = -1
→ Substitute x in f by -1 to find the value of f(-1)
∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10
∴ f(-1) = -10
∵ x = 2
→ Substitute x in f by 2 to find the value of f(2)
∴ f(2) = 5(2) - 5 = 10 - 5 = 5
∴ f(2) = 5
∵ x = 3
→ Substitute x in f by 3 to find the value of f(3)
∴ f(3) = 5(3) - 5 = 15 - 5 = 10
∴ f(3) = 10
∵ x = 4
→ Substitute x in f by 4 to find the value of f(4)
∴ f(4) = 5(4) - 5 = 20 - 5 = 15
∴ f(4) = 15
Find the value of x in the figure below.
Answer:
x=45
Step-by-step explanation:
You should follow the formula:
3x+3x+x+x=360
8x=360
x=45
Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
The sum of two integers is 5. Their difference is 11. What are
the two integers?
HURRY
Answer:
ggggvx
Step-by-step explanation:
cddfvdcvv
(10, 7); 5х - бу = 18
Answer: See explanation
Step-by-step explanation:
x = 10
y = 7
5x - 6y = 18
5 (10) - 6 (7) = 18
50 - 42 = 18
8 ≠ 18
The coordinates can't be (10, 7)
I barely understood the question but I hope I helped!
Directions: Answeł the following qu
What is the value of this expression?
2 + 4 x 4 - 12
242
Answer:
242
Step-by-step explanation:
a)2+4×4-12
=2+16-12
=18-12
=6
Answer:
16
Step-by-step explanation:
You would need to use PEMDAS (parentheses, exponents, multiplication, division, Addition, Subtraction). 4x4=16 (2+16-12) 16+2=18 (18-12) =16. Hope this helps.
Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?
Answer: 11+23i
Step-by-step explanation:
(i+5)(3+4i)
First foil
3i+4i^2 +15+20i
Then combine like terms
23i+15+4i^2
i^2 = -1 so,
23i+15+4(-1)
11+23i
Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)
Answer:
4. (-8) - (+3)
Step-by-step explanation:
This answer does not result in an answer of -5
This subtracts -3 from -8, which gives you the answer of -11.
So, this answer is correct because it is the one that doesn't result in -5.
Answer:
Problem #4
Step-by-step explanation:
Some things to remember when doing problems like are
Double negative = positive
Double positive = positive
Negative & positive = negative
1. (-7) + (+2) 2. (-11) + (+6) 3. (-9) - (-4) 4. (-8) - (+3)
-7 + 2 -11 + 6 -9 + 4 -8 - 3
-5 -5 -5 -11
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
Which congruence theorems can be used to prove AABR = AACR? Select three options.
A. HL
B. AS
C. SSS
D. ASA
E. AAS
Answer:
HL, SAS, ans SSS
Step-by-step explanation:
ASA and AAS cannot be used because we can only confirm one angle of each triangle.
Congruent shapes have equal corresponding sides and angles.
The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS
[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.
From the attached figure, we have the following congruent sides and angle:
AB and AC --- SideBR and CR --- SideAR and AR --- Side (Hypotenuse Leg)Angle C and Angle B --- angleThe above highlights mean that the following theorems can be used to prove that the triangles are congruent:
HL, SAS, and SSS
Read more about congruent triangles at:
https://brainly.com/question/11329400
Simplify this expression. Show your work. (7x - 5) - (3x - 2)
Answer:
4x-3
Step-by-step explanation:
(7x-5) - (3x-2)
aka
(7x-5) -1 (3x-2)
first distribute the -1 into (3x-2)
-3x+2
so
(7x-5)+ -3x+2
next combine like terms
7x-3x=4x
so
4x-5+2
then
-5+2=-3
so
4x-3 would be your simplified equation
Select the FALSE statement
A) Dilations either increase or decrease the lengths of line segments.
B) Dilations increase angle measures.
C) A dilated triangle is similar to the original triangle.
D) Dilations are a type of transformation
9514 1404 393
Answer:
B) Dilations increase angle measures.
Step-by-step explanation:
Dilations have no effect on angle measures, but they uniformly change the size and spacing of line segments. They are a non-rigid transformation that leaves geometric figures similar to the original.
The false statement is B.
Given f(x) = 2x^2 – 9x + 2, g( x)= 1-6x, and
h(x) = x2 - 4, find (f o h) (2)
Answer:
The value of (f о h) (2) is 2
Step-by-step explanation:
Let us solve the question
In the composite function (f о h) (x) we substitute x in f(x) by h(x)
∵ f(x) = 2x² - 9x + 2
∵ h(x) = x² - 4
∵ We need to find (f о h) (2)
→ That means use x = 2
∴ x = 2
We will find at first h(2), then substitute x in f by the answer of h(2)
∵ x = 2
∵ h(2) = (2)² - 4
∴ h(2) = 4 - 4
∴ h(2) = 0
Now substitute x in f by 0
∵ x = 0
∵ f(0) = 2(0)² - 9(0) + 2
∴ f(0) = 0 - 0 + 2
∴ f(0) = 2
∴ (f о h) (2) = 2