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3 years ago

15

HELPPP PLSS What is the solution to the equation

1 answer:

Dmitriy789 [7]3 years ago

5 0

Answer:

$a=3\frac{1}{3}$

Step-by-step explanation:

$a+5\frac{2}{3} =9$

$a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}$

$a=3\frac{1}{3}$

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Question 1 of 10 10 Points AB¯¯¯¯¯¯¯¯ is the diameter of circle T. Point A is located at (-4,2) and point B is located at (2,-8)

wariber [46]

Answer:

The coordinates of the center of this circle is (-1, -3).

Step-by-step explanation:

As we know that $A = (-4,2)$ and $B = (2,-8)$ are points lying on circle T, the center is the midpoint of the segment AB, whose location can be obtained from Midpoint formula:

$C = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B$

$C = \frac{1}{2}\cdot (-4,2)+\frac{1}{2}\cdot (2,-8)$

$C = (-2, 1)+(1,-4)$

$C=(-2+1,1-4)$

$C=(-1,-3)$

The coordinates of the center of this circle is (-1, -3).

6 0

4 years ago

Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

3 0

3 years ago

What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?

ser-zykov [4K]

Parallel lines have the same slope

The equation of the line is: $y = -2x+8$

The equation is given as:

$y = -2x + 5$

The slope intercept form of an equation is:

$y = mx + b$

Where:

$m \to slope$

By comparison,

$m = -2$

The line is said to be parallel to $y = -2x + 5$ .

This means that the line has a slope of $m = -2$

The equation of the line is then calculated as:

$y = m(x - x_1) + y_1$

Where:

$(x_1,y_1) = (4,0)$

So, we have:

$y = m(x - x_1) + y_1$

Substitute values for m, x1 and y1

$y = -2(x - 4) + 0$

$y = -2(x - 4)$

Open brackets

$y = -2x+8$

Hence, the equation of the line is: $y = -2x+8$

See attachment for the graphs of $y = -2x+8$ and $y = -2x + 5$

Read more about equations of parallel lines at:

brainly.com/question/402319

8 0

3 years ago

Help me on this pls and thank you

rodikova [14]

Answer:

scale factor = 3/5

b= 15 x 3/5

b= 9

6 0

3 years ago

Read 2 more answers

Write the equation of the line with a slope of 1/4 that passes through the point (8, -3).

pantera1 [17]

Answer:

-7

Step-by-step explanation:

-8 = (-1/4)(4) + b

-8 = -1 + b

b = -7

8 0

3 years ago