All categories

3 years ago

Please help me with this area math problem I’ll give you brainliest

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

5 0

answer:

$\sf 2x^2 + 9x +10$

solving steps:

$\sf{area \ of \ triangle = \frac{1}{2} * base *height }$

$\sf{Here \ the \ base \ is \ (2x+5) \ and \ height \ is \ (2x+4)$

$\sf\hookrightarrow \frac{1}{2} * (2x +5)*(2x+4)}$

$\sf \hookrightarrow { \frac{1}{2} *(4x^2 + 8x + 10x + 20)$

$\sf \hookrightarrow { \frac{1}{2} *(4x^2 + 18x + 20)$

$\sf \hookrightarrow 2x^2 + 9x +10$

You might be interested in

What statement describes the graph?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The gragh crosses the y-axis at (0,-5), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10

7 0

3 years ago

A rectangle has a length of 23 feet less than 10 times it’s width . If the area of the rectangle is 770 square feet find the len

Tresset [83]

Answer:

The length of the rectangle is 54 feet .

Step-by-step explanation:

Given as :

The Area of rectangle = 770 square feet

The length is 23 feet less than 10 times its width

I.e Let The length of rectangle = L feet

And The breadth of rectangle = B feet

According to question

Length = 10 times width - 23

Or , L = 10 × B - 23

or, L = 10 B - 23

Now, Since Area of rectangle = A = Length × Breadth

Or, A = L × B

Or, 770 ft² = ( 10 B - 23 ) × B

Or, 770 = 10 B² - 23 B

Or, 10 B² - 23 B - 770 = 0

Now, solving this quadratic equation to get the value of B

Or, B = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

or, B = $\frac{23\pm \sqrt{(-23)^{2}-4\times 10\times (-770)}}{2\times 10}$

Or, B = $\frac{-23\pm \sqrt{31329}}{20}$

Or, B = $\frac{-23 + 177}{20}$ , $\frac{-23 - 177}{20}$

∴ B = 7.7 , -10

So, The breadth of the rectangle = B = 7.7 feet

So, The length of the rectangle = L = ( 10 × 7.7 - 23 )

I.e L = 54 feet

Hence The length of the rectangle is 54 feet . Answer

6 0

3 years ago

K is no greater than 9? Write>,<.

alekssr [168]

Greater than symbol is ">"
But since he mentioned "NO greater than" then it's the opposite of greater than, which means "K" is less than "9"

K<9

4 0

3 years ago

At a garage sale, a large bin full of DVDs and CDs are being sold. All the DVDs are the same price, and all the CDs are the same

Alenkasestr [34]

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Ling bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

3 0

3 years ago

What value of x makes the equation true? –7.12 = –4.8 + x A. –11.92 B. –11.2 C. –2.32 D. 2.32

oksano4ka [1.4K]

The opposite of negative is positive, so we add -4.8 to both sides. -7.12- -4.8=-2.32. So your answer is C. -2.32. Hoped I helped. :)

3 0

3 years ago