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3 years ago

The sum of two integers is 21. Fifteen less than double the square of the smaller integer is equal to the larger

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

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The width of a rectangle is 5x+3, and the length of the

jok3333 [9.3K]

Answer:

<em>Answer: 1/4</em>

Step-by-step explanation:

<u>Algebraic Operations</u>

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}$

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}$

Now note we have the exact same expression up and down, thus simplifying:

$\displaystyle \frac{W}{L}= \frac{1}{4}$

Answer: 1/4

5 0

3 years ago

The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the

Eddi Din [679]

Answer:

the one you picked was right.

Step-by-step explanation:

if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense

5 0

3 years ago

Write 75m:125cm in its simplest form

Tanya [424]

Answer:

3/5

Step-by-step explanation:

Reduced fraction:

Therefore, 75/125 simplified to lowest terms is 3/5.

3 0

3 years ago

Read 2 more answers

A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle

Dennis_Churaev [7]

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

28π = 10/360 × 2πr

28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

8 0

3 years ago

2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill

timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110° by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0

3 years ago