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4 years ago

Solve the following equation using the quadratic formula

Mathematics

1 answer:

Anarel [89]4 years ago

7 0

Answer:

Step-by-step explanation:

The quadratic formula is $x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ . Here a=1, b=-8, and c=97.

Substitute and you'll have:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{8+/-\sqrt{-8^2-4(1)(97)} }{2(1)}=\frac{8+/-\sqrt{64-388} }{2)}$

$\frac{8+/-\sqrt{-324} }{2}=\frac{8+/-18i }{2}=4+/- 9i$

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Two quadrilaterals are similar. The length of the row longest sides of the first quadrilateral are 40in and 60in. The lengths of

Andreyy89

Answer:

The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in

The sides of the second quadrilateral are 24 in, 16 in, 12 in and 5 in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Arrange the sides of each quadrilateral from largest to smallest

First quadrilateral Second quadrilateral

Longest side=60 in Longest side=c in

Second side=40 in Second side=16 in

Third side= a in Third side= 12 in

Fourth side=b in Fourth side=5 in

$\frac{60}{c}=\frac{40}{16}=\frac{a}{12}=\frac{b}{5}$

Find the value of c

$\frac{60}{c}=\frac{40}{16}$

$c=60(16)/40$

$c=24\ in$

Find the value of a

$\frac{40}{16}=\frac{a}{12}$

$a=40(12)/16$

$a=30\ in$

Find the value of b

$\frac{40}{16}=\frac{b}{5}$

$b=40(5)/16$

$b=12.5\ in$

7 0

3 years ago

What is the combined length of all the buttons longer than 1 inch

muminat

Answer:

$2\frac{1}{2}$ inches

Step-by-step explanation:

The "x" represents the number of buttons.

There are 2 sizes longer than 1 inch:

$1\frac{1}{8}$ in and $1\frac{1}{4}$ in

There are NO 1 1/8 inch buttons

THere are two 1 1/4 inch buttons

Hence the combined length would be:

$1\frac{1}{4}+1\frac{1}{4}=2\frac{2}{4}=2\frac{1}{2}$ inches

5 0

3 years ago

Read 2 more answers

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters.

Bogdan [553]

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

5 0

3 years ago

Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5

Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form, $y=-\frac{3}{4}x-3$ .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

$y=-\frac{3}{4} x-5$

here, slope, m= $-\frac{3}{4}$

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

$-6=-\frac{3}{4}(4)+b$

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is $y=-\frac{3}{4}x-3$ .

Learn more about slope-intercept form here:

brainly.com/question/9682526

#SPJ4

5 0

2 years ago

ed has 8 pieces of candy which represents 40% of all the candy in his home, how many pieces are in his home

I am Lyosha [343]

C = total number of candy
.4(c) = 8 pieces of candy
Divide c by .4: c= 20
20-8=12

Ed has 12 pieces of candy at home

7 0

3 years ago