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3 years ago

Find the equation of the line shown in the graph. Write the equation in slope-intercept form.

Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

b= y-intercept

b=6

m= slope

m=y2-y1/x2-x1

take 2 points from the graph

(-3,10) and (3,2)

2-10/3-(-3)

-8/6

-4/3

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Point B is on line segment AC. Given AB = 3x, BC =4x+8 and AC = 5x + 10, determine the numerical length of AC

Vlada [557]

Answer:

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac

3x 4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15

3 0

2 years ago

What is the value of 4 x minus 7 when x = 4?191623

katen-ka-za [31]

Solution:

Given:

$4x-7$

when x = 4,

$\begin{gathered} Substitute\text{ }x=4\text{ into }4x-7 \\ 4x-7=4(4)-7 \\ =16-7 \\ =9 \end{gathered}$

The answer is 9.

7 0

1 year ago

A company has two manufacturing plants with daily production levels of 5x +14 items and 3x-7 items, respectively. The first pla

Llana [10]

Answer:

The first plant produces 2x + 21 more items daily than the second plant.

Step-by-step explanation:

The daily production of the two plants are:

Plant 1: 5x + 14

Plant 2: 3x - 7

Compute the number of items first plant produces more than the second plant as follows:

$\text{Plant 1 - Plant 2}=5x+14-3x+7\\\\=2x+21$

Thus, the first plant produces 2x + 21 more items daily than the second plant.

3 0

3 years ago

Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

Answer:

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

Solution:

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

Read 2 more answers

Please help!!!! 2 questions 50 points!!!!

Zielflug [23.3K]

Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

Both the unknown angles have the same value as the other two angles in the triangles are the same
∠(missing) = 180 - (72 x 2)
∠(missing) = 180 - 144
∠(missing) = 36°

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

The diagonals of the shape bisect other (Statement 1)
NY = NW (given)
XN = NZ (given)
∠XNY = ∠WXZ (vertically opposite angles)
ΔXNY ≅ ΔWXZ (SAS)
They form two congruent triangles (Statement 2)
From these two statements, it is evident the figure is a parallelogram

7 0

2 years ago