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3 years ago

11

Jennifer taking a quiz and has answered 13 questions so far. If there are 25 questions on Jennifer test, how many questions does

she have left to answer

1 answer:

Stels [109]3 years ago

7 0

Answer: 12

Step-by-step explanation: To figure this out you have to subtract 25 by 13

25

- 13

= 12

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Determine the slope intercept form of the linear equation x/2-y+6=0

luda_lava [24]

Answer:

General equation of a line:

$y = mx + b$

then express in that form:

$\frac{x}{2} - y + 6 = 0 \\ \\ - y = - \frac{x}{2} - 6 \\ \\ { \boxed{ \boxed{y = \frac{1}{2} x + 6}}}$

4 0

3 years ago

Solve the equation 2x3 + 7x2 – 10x – 24 = 0 in the real number system.

Rom4ik [11]

Answer:

x = 2

x = -4

x = -3/2

Step-by-step explanation:

We need to find the roots of the equation

2x^3 + 7x^2 – 10x – 24 = 0

We can factorize the equation into

(x-2)(x+4)(2x + 3) = 0

Roots

x = 2

x = -4

x = -3/2

The answer to your question is also attached in the images below

4 0

3 years ago

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Oliver earns $93 per week mowing lawns in his neighborhood. Which expression can be used to show how much money he earns in 6 we

ElenaW [278]

1 week = $93
6 weeks = $93 x 6
6 weeks = $558

6 0

3 years ago

What is negative 13/7 minus negative 5/7 as a fraction

Nimfa-mama [501]

Answer:

-8/7

Step-by-step explanation:

13-7. 8

--------- = --

7

7

4 0

3 years ago

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0

3 years ago

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