Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.
Step-by-step explanation:
The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:
A( 0,0 ), → (0,0)
B(2, 0) → (-2,0)
and C(0, 4). → (0,-4)
Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)
Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:
(0,0) → (0,0)
(-2,0)→( -6,0)
(0,-4) → (0,-12)
The answer is
A' (0,0) B' (-6,0) C' (0,-12)
The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.
A group of friends wants to go to the amusement park. They have $100 to spend on parking and admission. Parking is $13, and tickets cost $14.50 per person, including tax. How many people can go to the amusement park?
I bet help wit this please
The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
152600
Step-by-step explanation:
this is because 9% of 140000 is 1523
I will mark you as the brainiest if you get this correct Thx so much xxx
Answer:
22.7
Step-by-step explanation:
9³-8*6 = 729-48= 681
(8²-4) / 2 = 30
681/30 = 22.7
Answer:
[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]let's solve:[tex]step - 1 : define[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]
[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4
Answer:
the value of the equation is -1
Which of the following word problems can be solved using the equation 10 x - 15=60
Answer:
Kit buys
Step-by-step explanation:
im right
Kay is going to do some work in her garden. Her garden is in the shape of a rectangle. Kay thinks she can buy enough paint to cover the decking for less than £65 Is Kay correct?
Answer:
Still not sep-by-step explanation:
What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?
Answer:
8,107,424
Step-by-step explanation:
We have an expanded form of a number and are asked to convert it into standard form.
We always have to look at the place value when it comes to expanded form.
So follow the place values :
Million , Hundred Thousand, Ten Thousand, Thousand, Hundred, Tens, Ones.
1,000,000, 100,000, 10,000, 1,000, 100, 10, 1
Look at the values given and replace it
8,000,000, 100,000, 0, 7,000, 400, 20, 4
Now add them all :
8,107,424
The "h" in the lateral area formula, L = Ph, stands for
There is a trapezoid behind the net in hockey. Use the graphic to find the area of the trapezoid.
Answer:
253 square feet
Step-by-step explanation:
1/2 × 11 ft × (28 ft + 18 ft) = 253 square feet.
Please help will mark brainliest
Answer:
26
Step-by-step explanation:
Does (0, 0) make the equation y = 9x − 5 true?
Answer:
no
Step-by-step explanation:
y = 9x − 5
The point (0,0) means x=0 and y=0
Substitute this into the equation and see it is true
0 = 9*0 -5
0 = 0-5
0 = -5
This is not true so the point is not a solution.
Charlotte and Edgar's ages add up to 22. Charlotte is one year
older than twice Edgar's age.
How old are Charlotte and Edgar? Show all of your work and/or
reasoning.
Answer: Charlotte's 15 and Edgar's 7
Step-by-step explanation:
7*2=14
14+1 = 15
15 + 7 = 22
Pls help me with the questions.
Answer:
E, 21.
Step-by-step explanation:
7 multiplied by 3 is 21.
Asap
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an expression that shows how many holes need to be drilled for c parts.
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
Answer:
(14 + 4)c, or 18c
Step-by-step explanation:
Factor: m*(m+n)-3m*(m+n)^2
Answer:
−m(m+n)(3m+3n−1)
Step-by-step explanation:
y= x + 1
y= -x + 5
what's the answer pls I need it asap
Answer:
X= 2 and y = 3
Step-by-step explanation:
Pls help will give branliest
Answer:
7x² - 26x + 9
Step-by-step explanation:
(g(x)²) = (3x - 2) (3x - 2)
(g(x)²) = 9x² - 6x - 6x + 4
(g(x)²) = 9x² - 12x + 4
(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9
Explain what effect an index of 0 has
Answer:
Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.
plz follow me
4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Help with hw please I’ll give brainliest
solve question >> ( - 3x)^2
Answer:
(-3x)^2 = (-3)^2(x^2)
=9x^2
Let me know if this helps!
-2(x-4)=4 can x=2 be the solution
Answer:
Step-by-step explanation:
-2x + 8 = 4
-2x = 4 - 8
-2x = - 4
x = - 4/-2 = 2
replace x with 2 on the equation
-4-4=4
so answer is no
-8=4 not possible
A jacket with an original price of $40.50 discounted by 10%. What is the sale price?
Answer:
36.45
Step-by-step explanation:
40.50* 0.10 =4.05
40.5-4.05=36.45
Find the height of a cone with a diameter of 12 m and whose volume is 133 m.
A. 2 m
B. 9 m
C. 3 m
D. 1 m
Answer:
D
Step-by-step explanation:
Here, we want to get the height of the cone
radius = diameter/2
r = 12/2 = 6 m
To get this, we use the formula for the volume
V = 1/3 * pi * r^2 * h
133 = 1/3 * 3.142 * 22/7 *6^2 * h
h = 1.12 m
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable
A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.
How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot.
ft
Answer:
57.7 ft
Step-by-step explanation:
54 squared + b squared = 79 squared
2916 + b squared = 6241
-2916 -2916
b squared = 3325
b = 57.7
Insta - Oreo.is.free
The distance that the base of the telephone pole to point B where the guy wire is secured to the ground is 57.7 feet
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that triangle ABC is a right triangle.
Point A is the top of the telephone pole.
Point B is the point on the ground.
Point C is the base of the telephone pole.
Given,
AB = 79 feet
AC is the height of the telephone pole = 54 feet
Angle C is a right angle.
Using Pythagoras theorem,
(AB)² = (AC)² + (BC)²
79² = 54² + (BC)²
(BC)² = 79² - 54²
(BC)² = 3325
BC = √3325 = 57.66 ≈ 57.7 feet
Hence the length of the base of the pole form the ground where the wire is secured is approximately 57.7 feet.
Learn more about Pythagoras Theorem here :
https://brainly.com/question/21926466
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One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
Answer:
1.8 pounds
Step-by-step explanation: