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2 years ago

Subtract (6x² + 8x - 5) from (7x? + 8x - 4)

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

−6x^2+7x+1

Step-by-step explanation:

1)(7x+8x-4)=15x−4

2)15x-4-(6x^2+8x-5)=−6x2+7x+1

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Determine the intercepts of the line.<br> y-6= 4( + 5)<br> y-intercept:<br> z-intercept

Shtirlitz [24]

Answer:

(0, 26)
(-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

7 0

3 years ago

Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest deg

Firdavs [7]

Heyyyyyy new friends and I have no clue what the answer is cause I don’t feel like reading that but anyway yea nfs?

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3 years ago

What is 33.61111111 in fraction form

madreJ [45]

The correct answer is: " $\frac{33,611}{1,000}$ " .

____________________

<u>Step-by-step explanation</u>:

Based on the assumption that the "1" repeats infinitely; in the given value:

" 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point; this goes to the "thousandths";

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" $\frac{33.611}{1}$ " ;

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

→ " $\frac{(33.611)*(1000)}{(1)*(1000)}$ " ;

to get:

→ " $\frac{33611}{1000}$ " ; → which cannot be reduced any further.

_______

The correct answer is: " $\frac{33,611}{1,000}$ " .

_______

Hope this is helpful to you!

Wishing you the best!

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7 0

3 years ago

2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.

PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² + (2/√3)cx + c² = 1

⁴/₃x² + (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

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1 year ago

a bowling ball is dropped from a height of 24 feet. write a function that gives the height h (in feet) of the bowling ball after

lys-0071 [83]

Gravity pulls at 32 feet per second so it would take .75sec to hit the ground now make an equation that can make this applicable so after .75 second T it would be at 0 feet H

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3 years ago

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