10
11 5(2x + 1) + c(x + d) = 12x - 1
Work out the value of c and the value of d.

Answers

Answer 1

Answer:

c = 2, d = - 3

Step-by-step explanation:

Expand and simplify the left side then compare the coefficients of like terms on both sides.

5(2x + 1) + c(x + d) ← distribute parenthesis

10x + 5 + cx + cd

= x(10 + c) + 5 + cd

Compare like terms on both sides, that is

10 + c = 12 ( subtract 10 from both sides )

c = 2

Then

5 + cd = 5 + 2d and

5 + 2d = - 1 ( subtract 5 from both sides )

2d = - 6 ( divide both sides by 2 )

d = - 3


Related Questions

Tenemos 2 triangulos donde sus angulos mieden 46 y 66 respectivamente, y el lado adyacente a ellos mide 15cm, el criterio de congruencia es

Answers

Answer:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Step-by-step explanation:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

OMG PLEASE HELP AHHH LIKE PLEASE HELP

Answers

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

Peter collects antique marbles. He has these two boxes full of marbles. Which box has the larger volume? How much larger is it?

Answers

Answer:

The one with marbles should have a larger volume because the box must be larger also.

Step-by-step explanation:

An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?

Answers

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

pls help help help help help help help ​

Answers

Answer:

Y= -1/3x+5

Step-by-step explanation:

the first box is the slope and the second box is the y intercept

I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles

Answers

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

What is the volume of this solid?

Answers

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

40% of what number is 43

Answers

Answer:

107.50

Step-by-step explanation:

107.50 times 40 percent is 43

Answer: the answer is 107.5

Step-by-step explanation:

use

is/of = %/100 the / are fraction

75in, 60 in Pythagorean
What’s the missing leg?

Answers

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Which number line shows the correct locations of all the given values?

Answers

Answer:

it would be c because it is plotted correctly


1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob

OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC​

Answers

Answer:

Um what’s this language?

Step-by-step explanation:

f(x)=-2(x-4)^2+8 find the vertex

Answers

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

What is the vertex form of a quadratic equation?

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

#SPJ2

The product of all digits of positive integer M is 105. How many such Ms are there with distinct digits?

Answers

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

Expand logarithm equation

Answers

Answer:

6log_4(x) - 4log_4(y)

Find the area of the polygons

Answers

Answer:

Step-by-step explanation:

How might doing math slowly help with problems that are difficult to understand or hard to solve?

Answers

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

Match each trigonometric function with its right triangle definition. Note that opp = side opposite Angle A, adj = side adjacent to Angle A, and hyp = hypotenuse.

1. hyp/opp
2. hyp/adj
3. opp/adj
4. adj/hyp
5. adj/opp
6. opp/hyp

a. sec A
b. cot A
c. sin A
d. tan A
e. csc A
f. cos A​

Answers

Answer:

image pls see <3

Step-by-step explanation:

Which of the following could be a rational number

Answers

I dont know you tell me?

What are the options???

3. During the period of October 1 to 15, Cathy Powers spent the following: October 1, rent, $540;
October 6, electricity, $48.55; October 7, food, $34.15; October 6, dinner at the China Palace,
$12.80; October 12, blouse, $18.95, October 14, food, $38.60; October 15, magazine, $2.00,
and batteries, $6.50. Make a cash record of her expenses and total them.

Answers

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Algebraically, find the roots of x² - 4x - 5=0,​

Answers

x = 5 and x = -1

Solve using quadratic formula

Solve for X. Will give brainliest!

Answers

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

find the circumference of a circle with a radius of 9.8 in. (urgent)

Answers

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?

Answers

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri

Answers

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

The endpoints of the directed line segment AB are A(−3, 4) and B(5, 10). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.

Answers

Answer:

The coordinates of P is (-1,5.5)

Step-by-step explanation:

Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3

To do this, we are going to use the section formula

We have this as;

(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n

where m = 1 , n = 3

(x1,y1) = (-3,4)

(x2,y2) = (5,10)

Substituting these values, we have;

(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4

(x,y) = (-9+ 5)/4 , (12 + 10)/4

(x,y) = (-1, 5.5)

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP


Answers

Answer:

2.25

Step-by-step explanation:

What is the solution to the following equation? (4 points)

2(3x − 7) + 18 = 22

a
1

b
3

c
5

d
6

Answers

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Find the area of the shaded region. Round your answer to the nearest hundredth.

Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.

The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)

Answers

Answer:

FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COME

PLEASE MARK ME AS BRAINLIEST

Thus the area of shaded region is 301.5 cm^2.

What is circle?

"The collection of all points equidistant from a fixed point in a plane is called a circle".

For the given situation,

The radius of the inner circle be r = 8 cm and

the radius of the outer circle be R = 16 cm

The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]

Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

⇒[tex]200.96[/tex]

≈[tex]201[/tex]

Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]

⇒[tex]803.84[/tex]

≈[tex]804[/tex]

The shaded region replicates the semicircle. So,

Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]

⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]

⇒[tex]402-100.5[/tex]

⇒[tex]301.5 cm^{2}[/tex]

Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]

Learn more about circles here

https://brainly.com/question/1297097

#SPJ2

CARL BUYS 4 ONT PINT CARTONS OF MILK. HE BUYS LESS JUICE THAN MILK. WHICH COULD BE THE AMOUNT OF JUICE.

Answers

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

Other Questions
0.8(m - 5) = 10What is m equal to? The data show the number of pieces of mail delivered to a single home address each day for three weeks.4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2Which statement is true about a graph representing the data? Select two options.The number line of a dot plot would start at 1.A dot plot would show 7 points for numbers greater than 2.The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.A histogram would have a maximum of 7 bars.A histogram should not show a bar that includes 0 pieces of mail. what happen when a piece of silver metal is added to the copper sulphate solution The diameter of a circle is 11 cm. Find its area to the nearest tenth. Which phrase best defines civil rights movement? the fight for the right to vote the fight to hold political office the fight for fair treatment for all Americans regardless of race the fight for lower fares on public transportationhelp the percent of australia's population that is born is about In the picture please help me ):DI anwsers some maybe u can anwser the rest and tell me if I got the ones I anwserd right or wrong thank chu :] Banks offer various types of accounts, such as savings, checking, certificate of deposits, and money market, to attract customers as well as meet their specific needs.a. Trueb. False What is innovation? (Media Literacy)A. A groundbreaking idea, product, or methodB. A technological tool that drives hyperlinks C. An exciting development in a story's plotD. A story that nobody has ever heard before i need help plz giving brainlist Find the interest earned in Mrs. Charlie's account after 4 years, if she haddeposited $11,000 in her account. The bank pays a compound interest of 8.4%annually. MICHAEL JORDAN: A PROFILE IN FAILURE Question 10 of 20Fill in the blank with the most appropriate verb.Cuando el bebyo me acost.A. te dormasB. dormidoC. se durmiO D. duerme There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is / HI!!! :D1. True/FalseIndicate whether the sentence or statement is true or false.Europe's navigable rivers and good natural harbors have made trade in Europe difficult2.The Ruhr coal field in ____________ is one of the largest in the world.a.Germanyc.Great Britainb.Italyd.Poland3. Europe lacks some natural resources such as _________________.a.waterc.forestsb.coald.oil4. Which of the following is not a major biome in Europe?a.tundrac.temperate forestb.taigad.boreal forest5. In Iceland and the British Isles, the ocean creates a __________________ .a.mild temperaturesc.hot and humid temperaturesb.cold and wet temperaturesd.hot and dry temperaturesPLS HAVE A GOOD DAY!!! :D Ariana just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 12 weeks, how many total miles would Ariana have run, to the nearest whole number? Which expression is equivalent to 36a-12b? 3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b) find the area of the shade sector of the circle The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form. ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed