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3 years ago

Write the slope-intercept form of the equation

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Y=-9/2x-13 is the line

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Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

Sphere with a radius of a radius of 42 inches

prisoha [69]

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

5 0

3 years ago

If MNO IS NMO what statement best describes triangle MON?

kirill [66]

If , what statement best describes triangle MON?

5 0

3 years ago

Read 2 more answers

John's current salary is 40000 per year.His annual pay raise is always a percent of his salary.What would his salary be if he re

ad-work [718]

Answer:

The salary after four consecutive increase = $ 46794.34

Step-by-step explanation:

According to question,

salary of MR. John = $ 40000 per year

percentage py increase = 4%

Let the salary after four consecutive pay increase = x

So, X = 40000 (1 + $\frac{4}{100}$ )^4

Or, X = 40000 ( $\frac{26}{25}$ )^4

Or, X = 46794.34

Hence the salary increase after four consecutive pay increase at 4% = $46794.34 Answer

3 0

3 years ago

The heights in inches, of some small trees for sale at a garden store are 62, 62, 59, 61, 59, 70, 59, and 62. What is the median

Nana76 [90]

Answer:

Step-by-step explanation:

the mean height, remember is the average

62+62+59+61+59+70+59+62=494/8=61.75

median is the middle value, so we will write the numbers in order

59,59,59,61,62,62,62,70

we have an even number so we add the middle numbers and divide by 2,

the median=61+62=123/2=61.50

mode is the number that occurs most often : 62 and 59

5 0

2 years ago