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3 years ago

4 times the sum of a number and 8 gives 25

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

Answer:

4×(x+8)=25.

use the 4 to multiply the numbers in the bracket.

which is 4x+32=25.

then collect like terms which is...

4x=25-32...

4x=-7.

x=-7/4= -1.75 or -1 whole number 3/4.

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Need this ASAP please help!#2

myrzilka [38]

Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of related line is

$y-1=\frac{3-1}{0-(-3)}(x-(-3))$

$y-1=\frac{2}{3}(x+3)$

$y-1=\frac{2}{3}(x)+2$

Add 1 on both the sides.

$y=\frac{2}{3}(x)+2+1$

$y=\frac{2}{3}(x)+3$

The equation of related line is $y=\frac{2}{3}(x)+3$ .

The related line is a dotted line, it means the point on the line does not included in the solution set.

The shaded region is above the line so the sign of inequity is >.

The required inequality is

$y>\frac{2}{3}(x)+3$

Therefore option 3 is correct.

6 0

3 years ago

Find the leg of each isosceles right triangle when the hypotenuse is 5 square root 6

kozerog [31]

Hypotenuse = 5√6

Let the length of each leg be x, since it is Isosceles .

x² + x² = (5√6)²

2x² = (5 * 5 * √6 * √6)

2x² = 150

x² = 150/2

x² = 75

x = √75

x = √(25 * 3)

x = √25 * √3

x = 5√3

5 0

4 years ago

Write in point-slope form (-4,-3) m=-1

zvonat [6]

Answer:

Point-slope form: y + 3= -1(x + 4)

Slope-intercept form: y = -1x - 7

y = m * x + b,

where:

m is the slope; and

b is the intercept of the y-axis.

4 0

3 years ago

The following image is a function.

Alborosie

That is going to be false

6 0

3 years ago

Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"

dsp73

For any scalars $c_1,c_2$ , we have

$c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w$

So

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w$

We have

$\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}$
$=\begin{vmatrix}12&-3\\4&-6\end{vmatrix}\mathbf i-\begin{vmatrix}-2&-3\\-7&-6\end{vmatrix}\mathbf j+\begin{vmatrix}-2&12\\-7&4\end{vmatrix}\mathbf k$
$=-60\,\mathbf i-(-9)\,\mathbf j+76\,\mathbf k$
$=\begin{bmatrix}-60\\9\\76\end{bmatrix}$

which makes

$\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}$

4 0

3 years ago