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3 years ago

(x+7)(x+4) ..... Please Help

Mathematics

2 answers:

maksim [4K]3 years ago

8 0

Answer:

x^2 + 11 x + 28

Step-by-step explanation:

Expand the following:

(x + 4) (x + 7)

(x + 4) (x + 7) = (x) (x) + (x) (7) + (4) (x) + (4) (7):

x x + 7 x + 4 x + 4 7

x x = x^2:

x^2 + 7 x + 4 x + 4 7

4×7 = 28:

x^2 + 7 x + 4 x + 28

7 x + 4 x = 11 x:

Answer: x^2 + 11 x + 28

soldi70 [24.7K]3 years ago

3 0

Multiply each term in each set of parentheses by each one:

X * x = x^2

X * 4 = 4x

7 * x = 7x

7 * 4 = 28

Combine to get x^2 + 11x + 28

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: Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch =4 feet. The actual length of a room in the ho

natulia [17]

The room is 5 inches long in the drawing.

Step-by-step explanation:

Given,

Scale drawing used by Kenneth;

1 inch = 4 feet

Ratio of scale = 1:4

Actual length of room = 20 feet

Let,

x be the length in drawing

Ratio of actual length = x:20

Using proportion

Scale ratio :: Actual ratio

$1:4::x:20$

Product of mean = Product of extreme

$4*x=20*1\\4x=20$

Dividing both sides by 4

$\frac{4x}{4}=\frac{20}{4}\\x=5$

The room is 5 inches long in the drawing.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.

nignag [31]

Answer:

Part 1) $C=90\°$

Part 2) $A=63\°$

Part 3) $b=6.8\ units$

Part 4) $a=13.4\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

Angle C is a right angle

therefore

$C=90\°$

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

$B=27\°$

substitute

$27\°+A=90\°$

$A=63\°$

step 3

Find the length side b

we know that

In the right triangle ABC

$sin(B)=b/c$

$b=(c)sin(B)$

substitute the given values

$b=(15)sin(27\°)=6.8\ units$

step 4

Find the length side a

we know that

In the right triangle ABC

$sin(A)=a/c$

$a=(c)sin(A)$

substitute the given values

$a=(15)sin(63\°)=13.4\ units$

6 0

3 years ago

A right triangle is displayed. 36 in 60 in The area of the right triangle is

devlian [24]

Answer:

864 in²

Step-by-step explanation:

Use the pythagorean theorem to find the missing side.

36²+x²=60² (x is the missing length of the side)

1296 + x² = 3600

x² = 2304

x = 48

Then use the area of a triangle formula: base·height/2

Substituting 36 for the height and 48 for the base, we get:

48·36/2, which is 864.

3 0

3 years ago

Write the equation for each circle with the given radius and center.

zimovet [89]

The answer It’s 5 hope this helps !!

4 0

3 years ago

Read 2 more answers

Which of the following best describes the term induction?

tatiyna

Answer:

C. Starting with a given set of rules and figuring out what must be true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.

C. Starting with a given set of rules and figuring out what must be true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

7 0

3 years ago