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Fantom [35]
3 years ago
14

dle" class="latex-formula">
Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

<h3>x = -3 , x = 3</h3>

Step-by-step explanation:

7x² - 3 = 60

7x² - 3 - 60 = 0

7x² - 63 = 0

Simplify the terms

Divide both terms by 7

That's

x² - 9 = 0

Solve the quadratic equation

Use difference of two squares

That's

a² - b² = ( a + b)(a - b)

x² - 9 = 0

(x + 3)(x - 3) = 0

x + 3 = 0 x - 3 = 0

x = - 3 x = 3

Hope this helps you

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What is the area of this parallelogram? the perimeter is 19
Assoli18 [71]

Answer:

its 22 <3

Step-by-step explanation:

a=bh

(area = base x height)

base = 5.5

height = 4

5.5 x 4 = 22 :)

6 0
3 years ago
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0
3 years ago
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3 years ago
A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What
vladimir2022 [97]

Answer:

The perimeter of the triangle is 12\ units

Step-by-step explanation:

Let

A(-3,1),B(1,1),C(1,-2)

we know that

The perimeter of triangle is equal to

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

A(-3,1),B(1,1)

substitute in the formula

AB=\sqrt{(1-1)^{2}+(1+3)^{2}}

AB=\sqrt{(0)^{2}+(4)^{2}}

AB=4\ units

step 2

Find the distance BC

B(1,1),C(1,-2)

substitute in the formula

BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}

BC=\sqrt{(-3)^{2}+(0)^{2}}

BC=3\ units

step 3

Find the distance AC

A(-3,1),C(1,-2)

substitute in the formula

AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}

AC=\sqrt{(-3)^{2}+(4)^{2}}

AC=5\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=4+3+5=12\ units

6 0
3 years ago
How to do logarithmic equations
kaheart [24]

Answer:To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. (it’s kind of the similar to regular equation)

Step-by-step explanation:

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2 years ago
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