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Ira Lisetskai [31]
3 years ago
15

!28 POINTS! I need help quick!! The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the wid

th if this triangle.
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

(2x +3  )(x-5)

one is the length and one is the width

Step-by-step explanation:

2x^2-7x-15

Factor

(2x      )(x      )

What are the factors of -15?  -1*15  and -3*5, 3*-5 , 1*-15

We need 2* one factor ± the other factor = -7

2*-5 +3 = -7

That means the -5 is on the outside and the +3 is on the inside

(2x +3  )(x-5)

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What is the area of the shape?
marshall27 [118]

Step-by-step explanation:

hello,

the shape is a right trapezium.

you use the following formula:

area of a trapezium = ½ × sum of parallel sides× height.

or simply,

a = ½ ( a + b ) h

where a and b are the parallel sides

and h is the height.

thus,

a = ½ × ( 4 + 6 )× 4

a = ½ ( 10 ) × 4

a = 5 × 4

a = 20

have a great day! au revoir !

6 0
2 years ago
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Use the discriminant to determine the number and type of solutions the equation has.
White raven [17]
x^2 + 8x + 12 = 0\\ \\a=1 , b= 8, c= 12 \\ \\ \Delta =b^2-4ac = 8^2 -4\cdot1\cdot12= 64-48= 16\\ \\\Delta > 0 \\ \\ Answer : \ C. \ \ two \ rational \ solutions


5 0
3 years ago
Read 2 more answers
find the length of the line segment with end points (7,2) and (-4,2) explain how you arrived at your solution
Inga [223]

Answer:

<h2>11 units</h2>

Step-by-step explanation:

Method 1:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (7, 2) and (-4, 2). Substitute:

d=\sqrt{(2-2)^2+(-4-7)^2}=\sqrt{0^2+(-11)^2}=\sqrt{11^2}=11

Method 2:

Look at the picture. Mark points in the coordinate system.

Read the length of the segment.

6 0
3 years ago
HELP ME ASAP<br><br> Car X travels 268 miles in 4 hours.
Stels [109]

Answer:

what your question is but it travels 67 miles in an hour

Step-by-step explanation:

take 268 divide by 4 you get 67

7 0
3 years ago
Determine what type of model best fits the given situation:
lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = \frac{20}{100} \times P = 0.2P

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = \frac{20}{100} \times 0.8P = (0.2)(0.8P)

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

=P(0.8)^{2}-------------------------(2)

Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

so 20% of P(0.8)^{2}  \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}

So after 3 years value is decreased by (0.2)P(0.8)^{2}

so value after 3 years will be = P(0.8)^{2}   - (0.2)P(0.8)^{2}

taking P(0.8)^{2} common out we get P(0.8)^{2}(1-0.2)

P(0.8)^{2}(0.8)

P(0.8)^{3}-----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

y = P(0.8)^{x} where y is the value after x years

so thats the final answer

3 0
3 years ago
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