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JulijaS [17]
2 years ago
5

Evaluate the following expression. -8 - (-10)^2. please please help I will give brainlist 1st who ansers​

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:

-108

Step-by-step explanation:

-8 - ( -10 )²

= -8 - 100

= -108

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Help me! I'm not sure if this is right.
ANTONII [103]
That’s correct :) goood jobbb
3 0
3 years ago
The graph of y= 3x-2 is translated up 5 units. What is the new equation of the graph.
algol13

Answer:

y = 3x + 3

Step-by-step explanation:

If the entire line, or rather, the graph, is translated upwards by 5 units; the slope stays the same, but the y-intercept rises by 5 as well. Thus, the equation of the new graph would be;

y = 3x (-2+5)

y = 3x + 3

6 0
2 years ago
Read 2 more answers
2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.
likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4  + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

y = ^+_- \sqrt{-x^2+4x+4} -5

Thus

f(x) = \sqrt{-x^2+4x+4} - 5

g(x) = -\sqrt{-x^2+4x+4} - 5

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0

The quadratic has roots

\frac{52 ^+_-\sqrt{1664}}{26}

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0
2 years ago
A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many
erik [133]

Answer:

842 grams

Step-by-step explanation:

70\frac{1}{6} =\frac{421}{6}

\frac{421}{6} *12\\\\842

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

3 0
3 years ago
Find the values of the missing arc or find x
Wittaler [7]

Answer: x=3

Step-by-step explanation:

4 0
2 years ago
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