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2 years ago

Question 4: * What are the solutions to the equation 4x2 – 52x + 169 = 121?

Mathematics

1 answer:

Rasek [7]2 years ago

8 0

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

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

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

What will be the linear equation for the shown table?<br><br>

vladimir1956 [14]

Answer:

y=2x+5

Step-by-step explanation:

To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)

So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2

Slope = 2, now find b

So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5

Put it all together y = 2x + 5

3 0

2 years ago

Someone help with this

timama [110]

Answer:

18% decrease

Step-by-step explanation:

7,500 - 6,125 = $1,375
Set up a proportion: $\frac{1375}{7500} = \frac{x}{100}$
Cross multiply, then divide: 1375 × 100 = 137500, 137500 ÷ 7500 = 18 1/3
18 1/3% rounded = 18%
It went down, so it is a decrease

I hope this helps!

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!! NO BOTS!!! ASAP!!!

Burka [1]

The answer to this question is 6 1/4. This is because the vertex of this function has a y-coordinate of 6.25, which is 6 1/4 in mixed fraction form.

7 0

3 years ago

12/16 - 7/18 in simplest form

Ivan

Answer:

The answer is $\frac{13}{36}$

Step-by-step explanation:

The formula is:

$\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}$

In this case :

$\frac{12}{16} - \frac{7}{18} = \frac{12 x 18 - 16x17}{16x18} = \frac{216 -112 }{288} = \frac{104}{288}$

To get the simples form notice both 104 and 288 are divisible by 8 and 104/8 = 13 and 288/8 = 36.

Thus $\frac{104}{288} = \frac{13}{36}$

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2 years ago