A triangle’s base is 3 feet longer than twice its height, h. To create a new triangle, the base is decreased by 4 feet, and the height is increased by 2 feet. Which expression represents the area of the new triangle?

Answers

Answer 1

Answer:

area of the triangle =

[tex] \frac{(x - 4) \times (y + 2)}{2} [/tex]

let base be x and height y

hope it helped

PLS mark BRAINLIEST

Answer 2

Answer:

let height be x

base =2x+3

for new

height =x+2

base=2x+3-4=2x-1

area of new triangle=1/2_newbase×height

=1/2 (x+2)(2x-1) is required expression


Related Questions

ANSWER QUICKLY FOR 15 POINTS!! :,)

Mrs. Gregory’s class is building a model of a farm. They will use a cylindrical oatmeal container to make a portion of the barn. The container is 8 inches tall and has a radius of 2.5 inches.

What is the total surface area of the oatmeal container to the nearest tenth of a square inch?
164.9 square inches
157.1 square inches
39.3 square inches
125.7 square inches

Answers

Answer:

125.7 square inches long

Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?

Answers

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

What is the general form of the equation for the given arce centered at 00.02
OA + 7 + 41=0
OB. 77-41=0
Oc 77 + x + y - 41=0
OD 7 7x-y-41=0

Answers

Answer:

C

Step-by-step explanation:

I think so

what two numbers multiply to 56 and add to -15

Answers

Answer:

-7 and -8  

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

The pair of numbers which fulfill the given condition 2.6 & -1.76

and -17.6 & 2.6.

What is a quadratic equation ?

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Let x and y be the two numbers we're trying to find. We know that:

x * y = 56 (equation 1)

x + y = -15 (equation 2)

y = -15 - x (equation 3)

Substituting equation 3 into equation 1, we get:

x * (-15 - x) = 56

-x² - 15x + 56 = 0

x² + 15x - 56 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 15, and c = -56.

Substituting the values, we get:

x = (-15 ± 20.2) / 2

x = (-15 + 20.2) / 2 = 2.6

x = (-15 - 20.2) / 2 = -17.1

For x = 2.6:

y = -15 - x = -15 - 2.6 = -17.6

So, one possible pair of numbers is x = 2.6 and y = -17.6.

For x = -17.1:

y = -15 - x = -15 - (-17.1) = 2.1

So, another possible pair of numbers is x = -17.1 and y = 2.1.

Therefore, the two numbers that multiply to 56 and add to -15 are approximately -17.1 and 2.6, or vice versa.

To know more about quadratic equation check:

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Three friends are going to split the cost of a birthday gift. The gift cost $25. How much will each person have to pay (round to the nearest cent – which means nearest hundredth)?

Answers

Each person will have to pay $8.33

NEED HELP FAST PLEASE
Graph triangle DEF with vertices D(0,3),E(4,3),F(0,7)Rotate 180 degrees. Then translate using (x,y ) >(x-1,y-1)
FIND THE NEW PAIR OF COORDINATES!

Answers

Your new coordinates would be
D’(-1,-4) E’(-5,-4) F’(-1,-8)

Betty has 427 oranges and needs to pack them up equally in 23 boxes. How
many oranges go in each box and how much does she have left over

Answers

it's 18 with a remainder of 13. I attached a photo that shows the work of it

Evaluate the expression when g = 28 and h=6.
G-3h

Answers

Answer:

hi Ion know but can u help me on my question

Maia walks 12 miles. Then she walks 1/4 of that distance.

Answers

Answer:

12×0.25 is definitely right

×0.25 is another way of finding a quarter of something. I looked at the other answers and I think this one is the only correct one

A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

Enter a value that completes the equation correctly.

Y=__x

Answers

Y=2.5x as each time it increases by 2.5
Y equals 2.5x because it increases 2.5

A diver is 50 ft below sea level. Which integer correctly represents the situation?

Answers

Answer:

50 feet below sea level. First, look for keywords. The word “below” means you will need to use a negative integer. The answer is -50.

Step-by-step explanation:

hope this helps...

(─‿─)

Negative integers are used to represent values below zero, and in this context, "-50" represents a depth of 50 feet below the sea level.

In the context of sea level and vertical position, we often use positive and negative numbers to represent positions above or below a reference point, which is usually considered to be sea level.

When we say the diver is 50 feet below sea level, it means the diver is at a depth of 50 feet under the surface of the sea. In this case, we use negative numbers to represent positions below sea level.

So, if we consider sea level as the reference point (zero level), the number line extends in both positive and negative directions. Positive numbers represent positions above sea level, and negative numbers represent positions below sea level.

Since the diver is 50 feet below sea level, we represent this as -50. The negative sign indicates that the diver is below the reference point (sea level), and the absolute value of 50 represents the depth of 50 feet.

Therefore, the integer -50 correctly represents the situation of a diver being 50 feet below sea level.

To know more about sea level.

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please help me on this ​

Answers

Answer:

40 inches

Step-by-step explanation:

16 * (30/12) = 40

Answer:

PQ = 40

Step-by-step explanation:

First, set up a proportion:

[tex]\frac{12}{16} =\frac{30}{x}[/tex]

Then, cross-multiply and solve:

[tex]12x = 16(30)[/tex]

[tex]12x = 480\\\\\frac{480}{12x} \\\\PQ = 40[/tex]

Hope this helped!

1 point
What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

Answers

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

4

)

2

+

y

2

=

4

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

2

h

=

4

k

=

0

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

is the slope (+) (-) (zero) or (unidentified)​

Answers

Answer:

zero is the answer brainliest plz

Step-by-step explanation:

I really need help ASAP pls I think it’s c but I’m not sure

Answers

i think that the answer will be c

Answer:

C.

Step-by-step explanation:

Because angle TQR & angle TRU are complementary angles, meaning they add up to 90º.

So if TQR = 18, then:

(X- the measure of TRU)

X + 18 = 90

solve for x:

X + (18-18) = 90 - 18

X= 72

Hope this helps! Have a great day!

which is an answer to the following equation?
a/6 =7

1. a=13
2. a=1
3. a=42
4. a=1 1/6

Answers

Answer:

3. a =42

Step-by-step explanation:

2 ways you can go about this, you can either multiply 7x6 to get 42 as your answer. Or you can go through the options and divide each by 6 until eventually you'll find the one option that equals 7 which you would find is choice 3 a = 42

1.) The graph of g(x) = ax? opens downward and is narrower than the graph of f(x) = x? Which of the following
could be the value of a?
a. 5
b. 0.5
C. -5
d. -0.5​

Answers

Answer:

C. -5

Step-by-step explanation:

for g(x) =ax and f(x) = x, both are linear function. There is nothing to be upward or downward and both are lines nothing to compare its narrowness.

If g(x) = ax² vs f(x) = x²

Then a = -5 is the answer (-: downward and 5: vertical stretch)

Solve the pair of simultaneous equations and leave the answer as a fraction in

its lowest term. 2x − 3 = y, x+ y= 8​

Answers

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions

Answers

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

There’s only one solution

Answer ASAP!!!!!!!!!!! 20 POINTS

Salvador places a circular canvas on his A-frame easel and carefully centers it . The top of the easel forms a 30° angle and mBC = 22° . what is mAB?

Answers

Answer:56

Step-by-step explanation:

The measure for m (AB) is 128 degree.

What is Arc?

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

A curve contains an arc. A circle is the most common example of an arc, yet it can also be a section of other curved shapes like an ellipse.

We have,

The top of the easel forms a 30° angle and m (BC) = 22°.

As per the question,

AD = ED  and m<O = 30

So, m <OAE = m <OEA

                    = 1/2 (180 - m<D)

                    = 75

and, m <BEC = 1/2 (m BC)

                      = 1/2(22)

                      = 11

Then, m<BEA = m <OEA - m <BEC

                       = 75 - 11 = 64

Also, m (AB) = 2 x 64 = 128

Learn more about Arc here:

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plz help ...............................

Answers

Answer:

It is the right-angled triangle.

Step-by-step explanation:

According to the Pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex], which c is the longest side of the triangle.

So, [tex]27^{2}+36^{2}=45^{2}[/tex] if the triangle is right angle.

[tex]LHS=27^{2} + 36^{2} = 2025[/tex]

[tex]RHS=45^{2}=[/tex][tex]RHS=45^{2} = 2025[/tex]

∵LHS=RHS

∴It is a right-angled triangle.

Answer:

The right angled triangle

(3 x 4) + (3 x 7)
Pls help need it know

Answers

the answer to the equation is 33

plz help me with this and plz show ur work!?! :)

Answers

Answer:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

                                                      = 75 / 5

                                                     = 15 m

The number indicated that each time balloon is lowered by 15 m

Can someone help !

Solve for x.

Answers

Answer:

3) x = -4

4) x = 9

Step-by-step explanation:

3) (x+15)+(x+16) = 23

2x+31 = 23

2x = -8

x = -4

4) (2x-12)+1 = (x-2)

2x-11 = x-2

x = 9

someone help it’s timed!!!

Answers

Answer:

p=195

Step-by-step explanation:

If m = 65 and v = 3,

when two variables are together like that, that means you multiply,

65*3 = 195

Answer:

195

Step-by-step explanation:

p=mv

p=65 times 3

p=195

How many times larger is 6 × 1011 than 2 × 10-5?
A.
3 × 1016
B.
3 × 1055
C.
3 × 10-55
D.
3 × 10-16

Answers

Answer:

A. 3 x 1016

I hope its help for you


Henri paid $24 for 5 frozen dinners. How much would 20 dinners cost

Answers

Answer:

96 dollars....

Step-by-step explanation:

divide 24 by 5

which is 4.8

which represents that it costs 4 dollars and 80 cents for one dinner

multiply 4.8 and 20

which is 96

Simple all y have to do is multiply 24*20 and the answer would be 48 or 480 dollars (can’t see it on my calculator really good) REALPY SOREY IF IM WRONG

Which expression represents: "the quotient of three times a number and 7?​

Answers

3n/7-2=4n-6

clear fraction .le, multiply by 7

3n-14= 28n -42

25n =28

n=28/25

n/7 =4/25

12/25-50/25= 112/25-150/25 = > 38=38.

The expression 3(r/t) "the quotient of three times a number, and 7 option (C) 3(r/t) is correct after applying the arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The expression is:

The quotient of three times a number and 7

Let the two numbers be r and t:

On division:

= r/t

= 3(r/t)

Thus, the expression 3(r/t) "the quotient of three times a number, and 7 option (C) 3(r/t) is correct after applying the arithmetic operation.

The missing options are:

3 + rt

r/3t

3(r/t)

3 ÷ (r/t)

Learn more about the arithmetic operation here:

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WILL MARK BRAINLIEST IF GOTTEN RIGHTT

Answers

Answer:

The answer is C.

Step-by-step explanation:

If you look at the shapes one of them is smaller than the other but they are still the same shapes so I think it is C.

Which function is shown in the table below?

Answers

I believe it is an exponential function.
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