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wlad13 [49]
3 years ago
13

1. Write an expression in simplest form for the area of the figure below: (answer pls)

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0

Answer:

13x²+16x+28

Step-by-step explanation:

S=(5x+6)×(3x+2)=15x²+28x+12

2x+5-x-3=x-2

5x+6-3x+2=2x+8

(x-2)×(2x-8)=2x²-12x+16

15x²+28x+12-2x²-12x+16=13x²+16x+28

san4es73 [151]3 years ago
4 0

Answer:

(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2

Step-by-step explanation:

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She will run at least 18 more miles. Miles (x) greater than or equal to 18
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3 years ago
Find the value or measure. Assume all lines that appear to be tangent are tangent. X=
aev [14]

According to the secant-tangent theorem, we have the following expression:

(x+3)^2=10.8(19.2+10.8)

Now, we solve for <em>x</em>.

\begin{gathered} x^2+6x+9=10.8(30) \\ x^2+6x+9=324 \\ x^2+6x+9-324=0 \\ x^2+6x-315=0 \end{gathered}

Then, we use the quadratic formula:

x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Where a = 1, b = 6, and c = -315.

\begin{gathered} x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-315)}}{2\cdot1} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36+1260}}{2}=\frac{-6\pm\sqrt[]{1296}}{2} \\ x_{1,2}=\frac{-6\pm36}{2} \\ x_1=\frac{-6+36}{2}=\frac{30}{2}=15 \\ x_2=\frac{-6-36}{2}=\frac{-42}{2}=-21 \end{gathered}<h2>Hence, the answer is 15 because lengths can't be negative.</h2>
7 0
1 year ago
Describe and correct the error in writing an equation of the line shown
Rudiy27

Answer:

y  = -\frac{3}{5}x+4

Step-by-step explanation:

Given:

(x_1,y_1) = (0,4)

(x_2,y_2) = (5,1)

The attachment completes the question

From the attachment, the slope of the line was calculated as:

m = \frac{1-4}{0-5}

This step is inaccurate because the slope of a line is calculated using

m = \frac{y_2-y_1}{x_2-x_1}

Which gives

m = \frac{1-4}{5-0}

m = \frac{-3}{5}

m = -\frac{3}{5}

The line equation is then calculated using:

y -y_1 = m(x - x_1)

Substitute values for m, x1 and y1

y - 4 = -\frac{3}{5}(x - 0)

y - 4 = -\frac{3}{5}(x)

Open bracket

y - 4 = -\frac{3}{5}x

Make y the subject

y  = -\frac{3}{5}x+4

6 0
2 years ago
Martina creates the graph of function g by applying a transformation to function f.
MrRa [10]

Answer:

B.a vertical shift of 9 units up

Step-by-step explanation:

Given f(x) = 4x-2\\g(x) = 4x+7

g (x) = f (x) + k

It means shifting f (x)\ k unit vertically.

Now, we will find the value of k for the given function

g(x) = 4x+7\\\\add\ 2\ and\ subtract\ 2\\\\g(x) = 4x+7+2-2\\g(x) = 4x-2+9\\\\We\ have\ f(x)=4x-2\\\So,\ g(x)=f(x)+9

k=9

Hence, vertical shift of 9 units.

6 0
3 years ago
Read 2 more answers
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