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3 years ago

Write the expanded form of the expression (using distributive property). -4(5x + 6)

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

-20x-24 you multiple the negative four by 5x and 6

Vladimir [108]3 years ago

6 0

Answer:

-20x - 24

you just multiply the factor on the outside by each on the inside.

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What maths is used in locating a falling aircraft on the radar?

kvasek [131]

Answer:

I believe its Calculus

Step-by-step explanation:

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3 years ago

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the p

Romashka-Z-Leto [24]

1. First, you must find the constant of variation (k). The problem indicates that the base of each triangle varies inversely with the height. So, this can be represented as below:

B=k/H

B is the base of the triangle (B=10).
H is the height of the triangle (H=6).
k is the constant of variation.

2. When you clear "k", you obtain:

B=k/H
k=BxH
k=10x6
k=60

3. Now, you have:

B=60/H

4. You can give any value to "H" and you will obtain the base of the second triangle.

5. If H=12, then:

B=60/H
B=60/12
B=5

6. Therefore, the possible base and height of a second triangle is:

B=5
H=12

5 0

3 years ago

What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ? :)

pashok25 [27]

Answer:

$x=-3$

Step-by-step explanation:

Given:

$4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})$

Distribute to remove parentheses:

$4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}$

For simplification and clarity, reduce all mixed numbers to simplified common fractions:

$\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}$

Combine like terms:

$-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}$

Add 6/5 to both sides, then add 9/5x to both sides:

$-\frac{3}{5}x=\frac{9}{5}$

Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):

$x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}$

3 0

3 years ago

50 POINTS 10 QUESTIONS! Solve each quadratic equation using factoring PLEASE HELP!!

Tanzania [10]

Answer:

Quadratic Equation | Factoring

Solve each quadratic equation using factoring.

1) v² + 5v + 6 = 0

doing middle term factorisation

v²+(3+2)v+6=0

v²+3v+2v+6=0

v(v+3)+2(v+3)=0

(v+3)(v+2)=0

either

v=-3

or

v=-2

2) g² - 3g = 4

keeping all terms in one side

g²-3g-4=0

doing middle term factorisation

g²-(4-1)g-4=0

g²-4g+g-4=0

g(g-4)+1(g-4)=0

(g-4)(g+1)=0

either

g=4

or

g=-1

3)w² + 4w = 0

w(w+4)=0

either

w=0

or

w=-4

4) s² - 8s + 12 = 0

doing middle term factorisation

s²-(6+2)+12=0

s²-6s-2s+12=0

s(s-6)-2(s-6)=0

(s-6)(s-2)=0

either

s=6

or

s=2

5) x ²+ 2x - 35 = 0

doing middle term factorisation

x²+(7-5)x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x+7)(x-5)=0

either

x=-7

or

x=5

6) r(r + 2) = 99

opening bracket

r²+2r=99

keeping all terms in one side

r²+2r-99=0

r²+(11-9)r-99=0

r²+11r-9r-99=0

r(r+11)-9(r+11)=0

(r+11)(r-9)=0

either

r=-11

or

r=9

7)k(k-4)=-3

opening bracket

k²-4k=-3

keeping all terms in one side

k²-4k+3=0

k²-(3+1)k+3=0

k²-3k-k+3=0

k(k-3)-1(k-3)=0

(k-3)(k-1)=0

either

k=3

k=1

8)t²+ 3t + 2 = 0

doing middle term factorisation

t²+(2+1)t+2=0

t²+2t+t+2=0

t(t+2)+1(t+2)=0

(t+2)(t+1)=0

either

t=-2

or

t=-1

9)m ^ 2 - 81 = 0

m²=81

doing square root in both side

$\sqrt{m²}=\sqrt{9²}$

m=±9

either

m=9

or

m=-9

10) h²- 17h + 70 = 0

doing middle term factorisation

h²-(10+7)h+70=0

h²-10h-7h+70=0

h(h-10)-7(h-10)=0

(h-10)(h-7)=0

either

h=10

or

h=7

6 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

fenix001 [56]

Answer:

2, 7, 114

Step-by-step explanation:

(3 + 0.5x)(38 - 4x)

114 + 19x - 12x - 2x²

-2x² + 7x + 114

7 0

3 years ago